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michitux/Profiling-deleted-nodes.ipynb

Created July 24, 2017 09:04
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Example for broken NetworKit profiles with deleted nodes
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Profiling-deleted-nodes.ipynb
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\t\t\t<script type=\"text/javascript\">\n",
"\t\t\t<!--\n",
"\t\t\t\t\n",
"\t\t\t{\n",
"\t\t\t\tvar element = document.getElementById('NetworKit_script');\n",
"\t\t\t\tif (element) {\n",
"\t\t\t\t\telement.parentNode.removeChild(element);\n",
"\t\t\t\t}\n",
"\t\t\t\telement = document.createElement('script');\n",
"\t\t\t\telement.type = 'text/javascript';\n",
"\t\t\t\telement.innerHTML = 'function NetworKit_pageEmbed(id) { var i, j; var elements; elements = document.getElementById(id).getElementsByClassName(\"Plot\"); for (i=0; i<elements.length; i++) { elements[i].id = id + \"_Plot_\" + i; var data = elements[i].getAttribute(\"data-image\").split(\"|\"); elements[i].removeAttribute(\"data-image\"); var content = \"<div class=\\\\\"Image\\\\\" id=\\\\\"\" + elements[i].id + \"_Image\\\\\" />\"; elements[i].innerHTML = content; elements[i].setAttribute(\"data-image-index\", 0); elements[i].setAttribute(\"data-image-length\", data.length); for (j=0; j<data.length; j++) { elements[i].setAttribute(\"data-image-\" + j, data[j]); } NetworKit_plotUpdate(elements[i]); elements[i].onclick = function (e) { NetworKit_overlayShow((e.target) ? e.target : e.srcElement); } } elements = document.getElementById(id).getElementsByClassName(\"HeatCell\"); for (i=0; i<elements.length; i++) { var data = parseFloat(elements[i].getAttribute(\"data-heat\")); var color = \"#00FF00\"; if (data <= 1 && data > 0) { color = \"hsla(0, 100%, 75%, \" + (data) + \")\"; } else if (data <= 0 && data >= -1) { color = \"hsla(240, 100%, 75%, \" + (-data) + \")\"; } elements[i].style.backgroundColor = color; } elements = document.getElementById(id).getElementsByClassName(\"Details\"); for (i=0; i<elements.length; i++) { elements[i].setAttribute(\"data-title\", \"-\"); NetworKit_toggleDetails(elements[i]); elements[i].onclick = function (e) { NetworKit_toggleDetails((e.target) ? e.target : e.srcElement); } } elements = document.getElementById(id).getElementsByClassName(\"MathValue\"); for (i=elements.length-1; i>=0; i--) { value = elements[i].innerHTML.trim(); if (value === \"nan\") { elements[i].parentNode.innerHTML = \"\" } } elements = document.getElementById(id).getElementsByClassName(\"SubCategory\"); for (i=elements.length-1; i>=0; i--) { value = elements[i].innerHTML.trim(); if (value === \"\") { elements[i].parentNode.removeChild(elements[i]) } } elements = document.getElementById(id).getElementsByClassName(\"Category\"); for (i=elements.length-1; i>=0; i--) { value = elements[i].innerHTML.trim(); if (value === \"\") { elements[i].parentNode.removeChild(elements[i]) } } var isFirefox = false; try { isFirefox = typeof InstallTrigger !== \"undefined\"; } catch (e) {} if (!isFirefox) { alert(\"Currently the function\\'s output is only fully supported by Firefox.\"); } } function NetworKit_plotUpdate(source) { var index = source.getAttribute(\"data-image-index\"); var data = source.getAttribute(\"data-image-\" + index); var image = document.getElementById(source.id + \"_Image\"); image.style.backgroundImage = \"url(\" + data + \")\"; } function NetworKit_showElement(id, show) { var element = document.getElementById(id); element.style.display = (show) ? \"block\" : \"none\"; } function NetworKit_overlayShow(source) { NetworKit_overlayUpdate(source); NetworKit_showElement(\"NetworKit_Overlay\", true); } function NetworKit_overlayUpdate(source) { document.getElementById(\"NetworKit_Overlay_Title\").innerHTML = source.title; var index = source.getAttribute(\"data-image-index\"); var data = source.getAttribute(\"data-image-\" + index); var image = document.getElementById(\"NetworKit_Overlay_Image\"); image.setAttribute(\"data-id\", source.id); image.style.backgroundImage = \"url(\" + data + \")\"; var link = document.getElementById(\"NetworKit_Overlay_Toolbar_Bottom_Save\"); link.href = data; link.download = source.title + \".svg\"; } function NetworKit_overlayImageShift(delta) { var image = document.getElementById(\"NetworKit_Overlay_Image\"); var source = document.getElementById(image.getAttribute(\"data-id\")); var index = parseInt(source.getAttribute(\"data-image-index\")); var length = parseInt(source.getAttribute(\"data-image-length\")); var index = (index+delta) % length; if (index < 0) { index = length + index; } source.setAttribute(\"data-image-index\", index); NetworKit_overlayUpdate(source); } function NetworKit_toggleDetails(source) { var childs = source.children; var show = false; if (source.getAttribute(\"data-title\") == \"-\") { source.setAttribute(\"data-title\", \"+\"); show = false; } else { source.setAttribute(\"data-title\", \"-\"); show = true; } for (i=0; i<childs.length; i++) { if (show) { childs[i].style.display = \"block\"; } else { childs[i].style.display = \"none\"; } } }';\n",
"\t\t\t\telement.setAttribute('id', 'NetworKit_script');\n",
"\t\t\t\tdocument.head.appendChild(element);\n",
"\t\t\t}\n",
"\t\t\n",
"\t\t\t\t\n",
"\t\t\t{\n",
"\t\t\t\tvar element = document.getElementById('NetworKit_style');\n",
"\t\t\t\tif (element) {\n",
"\t\t\t\t\telement.parentNode.removeChild(element);\n",
"\t\t\t\t}\n",
"\t\t\t\telement = document.createElement('style');\n",
"\t\t\t\telement.type = 'text/css';\n",
"\t\t\t\telement.innerHTML = '.NetworKit_Page { font-family: Arial, Helvetica, sans-serif; font-size: 14px; } .NetworKit_Page .Value:before { font-family: Arial, Helvetica, sans-serif; font-size: 1.05em; content: attr(data-title) \":\"; margin-left: -2.5em; padding-right: 0.5em; } .NetworKit_Page .Details .Value:before { display: block; } .NetworKit_Page .Value { font-family: monospace; white-space: pre; padding-left: 2.5em; white-space: -moz-pre-wrap !important; white-space: -pre-wrap; white-space: -o-pre-wrap; white-space: pre-wrap; word-wrap: break-word; tab-size: 4; -moz-tab-size: 4; } .NetworKit_Page .Category { clear: both; padding-left: 1em; margin-bottom: 1.5em; } .NetworKit_Page .Category:before { content: attr(data-title); font-size: 1.75em; display: block; margin-left: -0.8em; margin-bottom: 0.5em; } .NetworKit_Page .SubCategory { margin-bottom: 1.5em; padding-left: 1em; } .NetworKit_Page .SubCategory:before { font-size: 1.6em; display: block; margin-left: -0.8em; margin-bottom: 0.5em; } .NetworKit_Page .SubCategory[data-title]:before { content: attr(data-title); } .NetworKit_Page .Block { display: block; } .NetworKit_Page .Block:after { content: \".\"; visibility: hidden; display: block; height: 0; clear: both; } .NetworKit_Page .Block .Thumbnail_Overview, .NetworKit_Page .Block .Thumbnail_ScatterPlot { width: 260px; float: left; } .NetworKit_Page .Block .Thumbnail_Overview img, .NetworKit_Page .Block .Thumbnail_ScatterPlot img { width: 260px; } .NetworKit_Page .Block .Thumbnail_Overview:before, .NetworKit_Page .Block .Thumbnail_ScatterPlot:before { display: block; text-align: center; font-weight: bold; } .NetworKit_Page .Block .Thumbnail_Overview:before { content: attr(data-title); } .NetworKit_Page .HeatCell { font-family: \"Courier New\", Courier, monospace; cursor: pointer; } .NetworKit_Page .HeatCell, .NetworKit_Page .HeatCellName { display: inline; padding: 0.1em; margin-right: 2px; background-color: #FFFFFF } .NetworKit_Page .HeatCellName { margin-left: 0.25em; } .NetworKit_Page .HeatCell:before { content: attr(data-heat); display: inline-block; color: #000000; width: 4em; text-align: center; } .NetworKit_Page .Measure { clear: both; } .NetworKit_Page .Measure .Details { cursor: pointer; } .NetworKit_Page .Measure .Details:before { content: \"[\" attr(data-title) \"]\"; display: block; } .NetworKit_Page .Measure .Details .Value { border-left: 1px dotted black; margin-left: 0.4em; padding-left: 3.5em; pointer-events: none; } .NetworKit_Page .Measure .Details .Spacer:before { content: \".\"; opacity: 0.0; pointer-events: none; } .NetworKit_Page .Measure .Plot { width: 440px; height: 440px; cursor: pointer; float: left; margin-left: -0.9em; margin-right: 20px; } .NetworKit_Page .Measure .Plot .Image { background-repeat: no-repeat; background-position: center center; background-size: contain; height: 100%; pointer-events: none; } .NetworKit_Page .Measure .Stat { width: 500px; float: left; } .NetworKit_Page .Measure .Stat .Group { padding-left: 1.25em; margin-bottom: 0.75em; } .NetworKit_Page .Measure .Stat .Group .Title { font-size: 1.1em; display: block; margin-bottom: 0.3em; margin-left: -0.75em; border-right-style: dotted; border-right-width: 1px; border-bottom-style: dotted; border-bottom-width: 1px; background-color: #D0D0D0; padding-left: 0.2em; } .NetworKit_Page .Measure .Stat .Group .List { -webkit-column-count: 3; -moz-column-count: 3; column-count: 3; } .NetworKit_Page .Measure .Stat .Group .List .Entry { position: relative; line-height: 1.75em; } .NetworKit_Page .Measure .Stat .Group .List .Entry[data-tooltip]:before { position: absolute; left: 0; top: -40px; background-color: #808080; color: #ffffff; height: 30px; line-height: 30px; border-radius: 5px; padding: 0 15px; content: attr(data-tooltip); white-space: nowrap; display: none; } .NetworKit_Page .Measure .Stat .Group .List .Entry[data-tooltip]:after { position: absolute; left: 15px; top: -10px; border-top: 7px solid #808080; border-left: 7px solid transparent; border-right: 7px solid transparent; content: \"\"; display: none; } .NetworKit_Page .Measure .Stat .Group .List .Entry[data-tooltip]:hover:after, .NetworKit_Page .Measure .Stat .Group .List .Entry[data-tooltip]:hover:before { display: block; } .NetworKit_Page .Measure .Stat .Group .List .Entry .MathValue { font-family: \"Courier New\", Courier, monospace; } .NetworKit_Page .Measure:after { content: \".\"; visibility: hidden; display: block; height: 0; clear: both; } .NetworKit_Page .PartitionPie { clear: both; } .NetworKit_Page .PartitionPie img { width: 600px; } #NetworKit_Overlay { left: 0px; top: 0px; display: none; position: absolute; width: 100%; height: 100%; background-color: rgba(0,0,0,0.6); z-index: 1000; } #NetworKit_Overlay_Title { position: absolute; color: white; transform: rotate(-90deg); width: 32em; height: 32em; padding-right: 0.5em; padding-top: 0.5em; text-align: right; font-size: 40px; } #NetworKit_Overlay .button { background: white; cursor: pointer; } #NetworKit_Overlay .button:before { size: 13px; display: inline-block; text-align: center; margin-top: 0.5em; margin-bottom: 0.5em; width: 1.5em; height: 1.5em; } #NetworKit_Overlay .icon-close:before { content: \"X\"; } #NetworKit_Overlay .icon-previous:before { content: \"P\"; } #NetworKit_Overlay .icon-next:before { content: \"N\"; } #NetworKit_Overlay .icon-save:before { content: \"S\"; } #NetworKit_Overlay_Toolbar_Top, #NetworKit_Overlay_Toolbar_Bottom { position: absolute; width: 40px; right: 13px; text-align: right; z-index: 1100; } #NetworKit_Overlay_Toolbar_Top { top: 0.5em; } #NetworKit_Overlay_Toolbar_Bottom { Bottom: 0.5em; } #NetworKit_Overlay_ImageContainer { position: absolute; top: 5%; left: 5%; height: 90%; width: 90%; background-repeat: no-repeat; background-position: center center; background-size: contain; } #NetworKit_Overlay_Image { height: 100%; width: 100%; background-repeat: no-repeat; background-position: center center; background-size: contain; }';\n",
"\t\t\t\telement.setAttribute('id', 'NetworKit_style');\n",
"\t\t\t\tdocument.head.appendChild(element);\n",
"\t\t\t}\n",
"\t\t\n",
"\t\t\t\t\n",
"\t\t\t{\n",
"\t\t\t\tvar element = document.getElementById('NetworKit_Overlay');\n",
"\t\t\t\tif (element) {\n",
"\t\t\t\t\telement.parentNode.removeChild(element);\n",
"\t\t\t\t}\n",
"\t\t\t\telement = document.createElement('div');\n",
"\t\t\t\telement.innerHTML = '<div id=\"NetworKit_Overlay_Toolbar_Top\"><div class=\"button icon-close\" id=\"NetworKit_Overlay_Close\" /></div><div id=\"NetworKit_Overlay_Title\" /> <div id=\"NetworKit_Overlay_ImageContainer\"> <div id=\"NetworKit_Overlay_Image\" /> </div> <div id=\"NetworKit_Overlay_Toolbar_Bottom\"> <div class=\"button icon-previous\" onclick=\"NetworKit_overlayImageShift(-1)\" /> <div class=\"button icon-next\" onclick=\"NetworKit_overlayImageShift(1)\" /> <a id=\"NetworKit_Overlay_Toolbar_Bottom_Save\"><div class=\"button icon-save\" /></a> </div>';\n",
"\t\t\t\telement.setAttribute('id', 'NetworKit_Overlay');\n",
"\t\t\t\tdocument.body.appendChild(element);\n",
"\t\t\t\tdocument.getElementById('NetworKit_Overlay_Close').onclick = function (e) {\n",
"\t\t\t\t\tdocument.getElementById('NetworKit_Overlay').style.display = 'none';\n",
"\t\t\t\t}\n",
"\t\t\t}\n",
"\t\t\n",
"\t\t\t-->\n",
"\t\t\t</script>\n",
"\t\t"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from networkit import *\n",
"import copy"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"G = generators.ErdosRenyiGenerator(1000, 0.05).generate()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(1000, 25128)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"G.size()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"pf = profiling.Profile.create(G, preset=\"default\")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div class=\"NetworKit_Page\" id=\"NetworKit_Page_1483b8fd40e02238_0\">\n",
"\t<h1>Network Structural Profile</h1>\n",
"\t<br>\n",
"\t<!--- HELP --->\n",
"\t<b>Navigating the profile</b>\n",
"\t<ul>\n",
"\t\t<li>the profile includes the following sections by default:</li>\n",
"\t\t\t<ul>\n",
"\t\t\t\t<li>global properties</li>\n",
"\t\t\t\t<li>overview of node centrality and partition distributions</li>\n",
"\t\t\t\t<li>detail views of node centrality distributions</li>\n",
"\t\t\t\t<li>node centrality correlations </li>\n",
"\t\t\t\t<li>detail views of partitions</li>\n",
"\t\t\t</ul>\n",
"\t\t<li>click [+] for descriptions of measures</li>\n",
"\t\t<li>click on distribution thumbnail for detail view</li>\n",
"\t\t<li>hover over variable name of statistical figures for explanation</li>\n",
"\t\t<li>click on distribution plot for larger view</li>\n",
"\t</ul>\n",
"\t<br>\n",
"\t<!--- END HELP --->\n",
"\t<div class=\"Category\" data-title=\"Global Properties\">\n",
"\t\t<div class=\"Value\" data-title=\"Name\">G#5</div>\n",
"\t\t<div class=\"Value\" data-title=\"Nodes\">1000</div>\n",
"\t\t<div class=\"Value\" data-title=\"Edges\">25128</div>\n",
"\t\t<div class=\"Value\" data-title=\"Density\">0.0503063</div>\n",
"\t\t<div class=\"Value\" data-title=\"Directed\">False</div>\n",
"\t\t<div class=\"Value\" data-title=\"Weighted\">False</div>\n",
"\t\t<div class=\"Value\" data-title=\"Self Loops\">0</div>\n",
"\t\t<div class=\"Value\" data-title=\"Diameter Range\">(3, 3)</div>\n",
"\t\t<div class=\"Value\" data-title=\"Effective Diameter\">N/A</div>\n",
"\t\t<div class=\"Value\" data-title=\"(Strongly) Connected Components\">1</div>\n",
"\t</div>\n",
"\t<div class=\"Category\" data-title=\"Overview\">\n",
"\t\t<div class=\"Block SubCategory\" data-title=\"Node Centrality Measures\">\n",
"\t\t\t<div class=\"Thumbnail_Overview\" data-title=\"Degree\"><a href=\"#NetworKit_Page_0_Centrality.Degree\"><img 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/></a></div><div class=\"Thumbnail_Overview\" data-title=\"k-Core Decomposition\"><a href=\"#NetworKit_Page_0_Centrality.CoreDecomposition\"><img 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/></a></div><div class=\"Thumbnail_Overview\" data-title=\"Local Clustering Coefficient\"><a href=\"#NetworKit_Page_0_Centrality.ClusteringCoefficient\"><img 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/></a></div><div class=\"Thumbnail_Overview\" data-title=\"Katz Centrality\"><a href=\"#NetworKit_Page_0_Centrality.Katz\"><img 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/></a></div><div class=\"Thumbnail_Overview\" data-title=\"Betweenness\"><a href=\"#NetworKit_Page_0_Centrality.Betweenness\"><img 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/></a></div>\n",
"\t\t</div>\n",
"\t\t<div class=\"Block SubCategory\" data-title=\"Partitions\">\n",
"\t\t\t<div class=\"Thumbnail_Overview\" data-title=\"Communities\"><a href=\"#NetworKit_Page_0_Partition.Communities\"><img 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/></a></div><div class=\"Thumbnail_Overview\" data-title=\"Connected Components\"><a href=\"#NetworKit_Page_0_Partition.ConnectedComponents\"><img 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/></a></div><div class=\"Thumbnail_Overview\" data-title=\"k-Core Decomposition\"><a href=\"#NetworKit_Page_0_Partition.CoreDecomposition\"><img 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/></a></div>\n",
"\t\t</div>\n",
"\t</div>\n",
"\t<div class=\"Category\" data-title=\"Node Centrality Measures\">\n",
"\t\t<div id=\"NetworKit_Page_0_Centrality.Degree\" class=\"SubCategory Measure\" data-title=\"Degree\">\n",
"\t<div class=\"Details\">\n",
"\t\t<div class=\"Value\" data-title=\"Description\">Node centrality index which ranks nodes by their degree.</div>\n",
"\t\t<div class=\"Value\" data-title=\"Algorithm\">DegreeCentrality</div>\n",
"\t\t<div class=\"Spacer\"></div>\n",
"\t</div>\n",
"\t<div class=\"Plot\" title=\"Centrality.Degree\" 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22%3E%20%3Cpath%20clip-path%3D%22url%28%23p2c35978768%29%22%20d%3D%22M%20138.399797%20135.04%20L%20148.789063%20135.04%20L%20148.789063%2060.839534%20L%20138.399797%2060.839534%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_13%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p2c35978768%29%22%20d%3D%22M%20148.789063%20135.04%20L%20159.178328%20135.04%20L%20159.178328%2070.930798%20L%20148.789063%2070.930798%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_14%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p2c35978768%29%22%20d%3D%22M%20159.178328%20135.04%20L%20169.567593%20135.04%20L%20169.567593%2066.181968%20L%20159.178328%2066.181968%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_15%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p2c35978768%29%22%20d%3D%22M%20169.567593%20135.04%20L%20179.956858%20135.04%20L%20179.956858%20104.172606%20L%20169.567593%20104.172606%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_16%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p2c35978768%29%22%20d%3D%22M%20179.956858%20135.04%20L%20190.346123%20135.04%20L%20190.346123%20113.670266%20L%20179.956858%20113.670266%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_17%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p2c35978768%29%22%20d%3D%22M%20190.346123%20135.04%20L%20200.735388%20135.04%20L%20200.735388%20120.793511%20L%20190.346123%20120.793511%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_18%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p2c35978768%29%22%20d%3D%22M%20200.735388%20135.04%20L%20211.124653%20135.04%20L%20211.124653%20132.071981%20L%20200.735388%20132.071981%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_19%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p2c35978768%29%22%20d%3D%22M%20211.124653%20135.04%20L%20221.513918%20135.04%20L%20221.513918%20132.071981%20L%20211.124653%20132.071981%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_20%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p2c35978768%29%22%20d%3D%22M%20221.513918%20135.04%20L%20231.903183%20135.04%20L%20231.903183%20131.478378%20L%20221.513918%20131.478378%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_21%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p2c35978768%29%22%20d%3D%22M%20231.903183%20135.04%20L%20242.292448%20135.04%20L%20242.292448%20134.446396%20L%20231.903183%20134.446396%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_22%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p2c35978768%29%22%20d%3D%22M%20242.292448%20135.04%20L%20252.681713%20135.04%20L%20252.681713%20133.852793%20L%20242.292448%20133.852793%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_23%22%3E%20%3Cpath%20d%3D%22M%2036.585%20135.04%20L%2036.585%2015.274512%20%22%20style%3D%22fill%3Anone%3Bstroke%3A%23d3d3d3%3Bstroke-linecap%3Asquare%3Bstroke-linejoin%3Amiter%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_24%22%3E%20%3Cpath%20d%3D%22M%20260.993125%20135.04%20L%20260.993125%2015.274512%20%22%20style%3D%22fill%3Anone%3Bstroke%3A%23d3d3d3%3Bstroke-linecap%3Asquare%3Bstroke-linejoin%3Amiter%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_25%22%3E%20%3Cpath%20d%3D%22M%2036.585%20135.04%20L%20260.993125%20135.04%20%22%20style%3D%22fill%3Anone%3Bstroke%3A%23d3d3d3%3Bstroke-linecap%3Asquare%3Bstroke-linejoin%3Amiter%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_26%22%3E%20%3Cpath%20d%3D%22M%2036.585%2015.274512%20L%20260.993125%2015.274512%20%22%20style%3D%22fill%3Anone%3Bstroke%3A%23d3d3d3%3Bstroke-linecap%3Asquare%3Bstroke-linejoin%3Amiter%3B%22%2F%3E%20%3C%2Fg%3E%20%3C%2Fg%3E%20%3C%2Fg%3E%20%3Cdefs%3E%20%3CclipPath%20id%3D%22p2c35978768%22%3E%20%3Crect%20height%3D%22119.765488%22%20width%3D%22224.408125%22%20x%3D%2236.585%22%20y%3D%2215.274512%22%2F%3E%20%3C%2FclipPath%3E%20%3C%2Fdefs%3E%20%3C%2Fsvg%3E\"></div>\n",
"\t<div class=\"Stat\">\n",
"\t\t<div class=\"Group\">\n",
"\t\t\t<div class=\"Title\">Properties</div>\n",
"\t\t\t<div class=\"List\">\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Sample Size\">\n",
"\t\t\t\t\t$ n = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t1000\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Bessel's Correction\">\n",
"\t\t\t\t\t$ f_{BC} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t1.001\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Assortativity\">\n",
"\t\t\t\t\t$ r = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.00505418\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Centralization\">\n",
"\t\t\t\t\t$ C = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.0271348\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t</div>\n",
"\t\t</div>\n",
"\t\t<div class=\"Group\">\n",
"\t\t\t<div class=\"Title\">Location</div>\n",
"\t\t\t<div class=\"List\">\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Minimum\">\n",
"\t\t\t\t\t$ x_{(1)} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t29\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Maximum\">\n",
"\t\t\t\t\t$ x_{(n)} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t76\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Smallest Mild Outlier\">\n",
"\t\t\t\t\t$ \\widetilde{x}_{O_{min}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t29\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Smallest Non Outlier\">\n",
"\t\t\t\t\t$ \\widetilde{x}_{N_{min}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t34\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"1st Quartile\">\n",
"\t\t\t\t\t$ \\widetilde{x}_{0.25} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t46\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"2nd Quartile / Median\">\n",
"\t\t\t\t\t$ \\widetilde{x}_{Med} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t50\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"3rd Quartile\">\n",
"\t\t\t\t\t$ \\widetilde{x}_{0.75} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t54\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Biggest Non Outlier\">\n",
"\t\t\t\t\t$ \\widetilde{x}_{N_{max}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t66\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Biggest Mild Outlier\">\n",
"\t\t\t\t\t$ \\widetilde{x}_{O_{max}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t76\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Arithmetic Mean\">\n",
"\t\t\t\t\t$ \\overline{x} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t50.256\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Interquartile Mean\">\n",
"\t\t\t\t\t$ \\overline{x}_{IQ} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t50.174\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Sample Mid-Range\">\n",
"\t\t\t\t\t$ \\overline{x}_{R} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t52.5\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Harmonic Mean\">\n",
"\t\t\t\t\t$ \\overline{x}_{H^{-1}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t49.3339\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Quadratic Mean / Root Mean Square\">\n",
"\t\t\t\t\t$ \\overline{x}_{H^{2}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t50.702\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Cubic Mean\">\n",
"\t\t\t\t\t$ \\overline{x}_{H^{3}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t51.1415\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t</div>\n",
"\t\t</div>\n",
"\t\t<div class=\"Group\">\n",
"\t\t\t<div class=\"Title\">Dispersion</div>\n",
"\t\t\t<div class=\"List\">\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Unbiased Sample Variance\">\n",
"\t\t\t\t\t$ s^{2}_{x} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t45.0715\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Unbiased Standard Deviation\">\n",
"\t\t\t\t\t$ s_{x} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t6.71353\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Unbiased Coefficient Of Variation\">\n",
"\t\t\t\t\t$ v_{x} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.133587\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Sample Range\">\n",
"\t\t\t\t\t$ R = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t47\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Interquartile Range\">\n",
"\t\t\t\t\t$ R_{IQ} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t8\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t</div>\n",
"\t\t</div>\n",
"\t\t<div class=\"Group\">\n",
"\t\t\t<div class=\"Title\">Shape</div>\n",
"\t\t\t<div class=\"List\">\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Skewness (Yule-Pearson)\">\n",
"\t\t\t\t\t$ S_{YP} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.114396\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Skewness (3rd Momentum)\">\n",
"\t\t\t\t\t$ S_{M} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.130424\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Kurtotis (Excess)\">\n",
"\t\t\t\t\t$ \\gamma = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.531467\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t</div>\n",
"\t\t</div>\n",
"\t\t<div class=\"Group\">\n",
"\t\t\t<div class=\"Title\">Rank</div>\n",
"\t\t\t<div class=\"List\">\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Unbiased Variance (Rank)\">\n",
"\t\t\t\t\t$ s^{2}_{rk_{x}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t83221.8\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Unbiased Standard Deviation (Rank)\">\n",
"\t\t\t\t\t$ s_{rk_{x}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t288.482\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Unbiased Coefficient Of Variation (Rank)\">\n",
"\t\t\t\t\t$ v_{rk_{x}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.576387\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t</div>\n",
"\t\t</div>\n",
"\t\t<div class=\"Group\">\n",
"\t\t\t<div class=\"Title\">Binning</div>\n",
"\t\t\t<div class=\"List\">\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Number Of Bins (PDF)\">\n",
"\t\t\t\t\t$ k_{PDF} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t20\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Number Of Bins (CDF)\">\n",
"\t\t\t\t\t$ k_{CDF} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t46\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Mode (Binning)\">\n",
"\t\t\t\t\t$ x_{D_{PDF}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t48.975\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t</div>\n",
"\t\t</div>\n",
"\t</div>\n",
"\t\n",
"</div>\n",
"<div id=\"NetworKit_Page_0_Centrality.CoreDecomposition\" class=\"SubCategory Measure\" data-title=\"k-Core Decomposition\">\n",
"\t<div class=\"Details\">\n",
"\t\t<div class=\"Value\" data-title=\"Description\">k-cores result from successively peeling away nodes of degree k. It also categorizes nodes according to the highest-order core in which they are contained, assigning a core number to each node.</div>\n",
"\t\t<div class=\"Value\" data-title=\"Algorithm\">CoreDecomposition</div>\n",
"\t\t<div class=\"Spacer\"></div>\n",
"\t</div>\n",
"\t<div class=\"Plot\" title=\"Centrality.CoreDecomposition\" 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p-path%3D%22url%28%23p905af1651b%29%22%20d%3D%22M%2090.73125%20135.04%20L%20100.865885%20135.04%20L%20100.865885%20134.684029%20L%2090.73125%20134.684029%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_8%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p905af1651b%29%22%20d%3D%22M%20100.865885%20135.04%20L%20111.000521%20135.04%20L%20111.000521%20135.04%20L%20100.865885%20135.04%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_9%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p905af1651b%29%22%20d%3D%22M%20111.000521%20135.04%20L%20121.135156%20135.04%20L%20121.135156%20134.921343%20L%20111.000521%20134.921343%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_10%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p905af1651b%29%22%20d%3D%22M%20121.135156%20135.04%20L%20131.269792%20135.04%20L%20131.269792%20135.04%20L%20121.135156%20135.04%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_11%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p905af1651b%29%22%20d%3D%22M%20131.269792%20135.04%20L%20141.404427%20135.04%20L%20141.404427%20134.446715%20L%20131.269792%20134.446715%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_12%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p905af1651b%29%22%20d%3D%22M%20141.404427%20135.04%20L%20151.539063%20135.04%20L%20151.539063%20135.04%20L%20141.404427%20135.04%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_13%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p905af1651b%29%22%20d%3D%22M%20151.539062%20135.04%20L%20161.673698%20135.04%20L%20161.673698%20135.04%20L%20151.539062%20135.04%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_14%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p905af1651b%29%22%20d%3D%22M%20161.673698%20135.04%20L%20171.808333%20135.04%20L%20171.808333%20134.921343%20L%20161.673698%20134.921343%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_15%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p905af1651b%29%22%20d%3D%22M%20171.808333%20135.04%20L%20181.942969%20135.04%20L%20181.942969%20135.04%20L%20171.808333%20135.04%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_16%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p905af1651b%29%22%20d%3D%22M%20181.942969%20135.04%20L%20192.077604%20135.04%20L%20192.077604%20134.2094%20L%20181.942969%20134.2094%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_17%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p905af1651b%29%22%20d%3D%22M%20192.077604%20135.04%20L%20202.21224%20135.04%20L%20202.21224%20135.04%20L%20192.077604%20135.04%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_18%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p905af1651b%29%22%20d%3D%22M%20202.21224%20135.04%20L%20212.346875%20135.04%20L%20212.346875%20134.090743%20L%20202.21224%20134.090743%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_19%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p905af1651b%29%22%20d%3D%22M%20212.346875%20135.04%20L%20222.48151%20135.04%20L%20222.48151%20135.04%20L%20212.346875%20135.04%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_20%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p905af1651b%29%22%20d%3D%22M%20222.48151%20135.04%20L%20232.616146%20135.04%20L%20232.616146%20134.2094%20L%20222.48151%20134.2094%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_21%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p905af1651b%29%22%20d%3D%22M%20232.616146%20135.04%20L%20242.750781%20135.04%20L%20242.750781%20135.04%20L%20232.616146%20135.04%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_22%22%3E%20%3Cpath%20clip-path%3D%22url%28%23p905af1651b%29%22%20d%3D%22M%20242.750781%20135.04%20L%20252.885417%20135.04%20L%20252.885417%2020.417246%20L%20242.750781%2020.417246%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_23%22%3E%20%3Cpath%20d%3D%22M%2042.085%20135.04%20L%2042.085%2015.832336%20%22%20style%3D%22fill%3Anone%3Bstroke%3A%23d3d3d3%3Bstroke-linecap%3Asquare%3Bstroke-linejoin%3Amiter%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_24%22%3E%20%3Cpath%20d%3D%22M%20260.993125%20135.04%20L%20260.993125%2015.832336%20%22%20style%3D%22fill%3Anone%3Bstroke%3A%23d3d3d3%3Bstroke-linecap%3Asquare%3Bstroke-linejoin%3Amiter%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_25%22%3E%20%3Cpath%20d%3D%22M%2042.085%20135.04%20L%20260.993125%20135.04%20%22%20style%3D%22fill%3Anone%3Bstroke%3A%23d3d3d3%3Bstroke-linecap%3Asquare%3Bstroke-linejoin%3Amiter%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_26%22%3E%20%3Cpath%20d%3D%22M%2042.085%2015.832336%20L%20260.993125%2015.832336%20%22%20style%3D%22fill%3Anone%3Bstroke%3A%23d3d3d3%3Bstroke-linecap%3Asquare%3Bstroke-linejoin%3Amiter%3B%22%2F%3E%20%3C%2Fg%3E%20%3C%2Fg%3E%20%3C%2Fg%3E%20%3Cdefs%3E%20%3CclipPath%20id%3D%22p905af1651b%22%3E%20%3Crect%20height%3D%22119.207664%22%20width%3D%22218.908125%22%20x%3D%2242.085%22%20y%3D%2215.832336%22%2F%3E%20%3C%2FclipPath%3E%20%3C%2Fdefs%3E%20%3C%2Fsvg%3E\"></div>\n",
"\t<div class=\"Stat\">\n",
"\t\t<div class=\"Group\">\n",
"\t\t\t<div class=\"Title\">Properties</div>\n",
"\t\t\t<div class=\"List\">\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Sample Size\">\n",
"\t\t\t\t\t$ n = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t1000\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Bessel's Correction\">\n",
"\t\t\t\t\t$ f_{BC} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t1.001\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Assortativity\">\n",
"\t\t\t\t\t$ r = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.00689759\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Centralization\">\n",
"\t\t\t\t\t$ C = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.000121733\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t</div>\n",
"\t\t</div>\n",
"\t\t<div class=\"Group\">\n",
"\t\t\t<div class=\"Title\">Location</div>\n",
"\t\t\t<div class=\"List\">\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Minimum\">\n",
"\t\t\t\t\t$ x_{(1)} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t29\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Maximum\">\n",
"\t\t\t\t\t$ x_{(n)} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t38\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Smallest Mild Outlier\">\n",
"\t\t\t\t\t$ \\widetilde{x}_{O_{min}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t38\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Smallest Non Outlier\">\n",
"\t\t\t\t\t$ \\widetilde{x}_{N_{min}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t38\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"1st Quartile\">\n",
"\t\t\t\t\t$ \\widetilde{x}_{0.25} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t38\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"2nd Quartile / Median\">\n",
"\t\t\t\t\t$ \\widetilde{x}_{Med} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t38\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"3rd Quartile\">\n",
"\t\t\t\t\t$ \\widetilde{x}_{0.75} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t38\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Biggest Non Outlier\">\n",
"\t\t\t\t\t$ \\widetilde{x}_{N_{max}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t38\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Biggest Mild Outlier\">\n",
"\t\t\t\t\t$ \\widetilde{x}_{O_{max}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t38\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Arithmetic Mean\">\n",
"\t\t\t\t\t$ \\overline{x} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t37.883\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Interquartile Mean\">\n",
"\t\t\t\t\t$ \\overline{x}_{IQ} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t38\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Sample Mid-Range\">\n",
"\t\t\t\t\t$ \\overline{x}_{R} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t33.5\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Harmonic Mean\">\n",
"\t\t\t\t\t$ \\overline{x}_{H^{-1}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t37.8655\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Quadratic Mean / Root Mean Square\">\n",
"\t\t\t\t\t$ \\overline{x}_{H^{2}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t37.8904\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Cubic Mean\">\n",
"\t\t\t\t\t$ \\overline{x}_{H^{3}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t37.897\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t</div>\n",
"\t\t</div>\n",
"\t\t<div class=\"Group\">\n",
"\t\t\t<div class=\"Title\">Dispersion</div>\n",
"\t\t\t<div class=\"List\">\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Unbiased Sample Variance\">\n",
"\t\t\t\t\t$ s^{2}_{x} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.557869\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Unbiased Standard Deviation\">\n",
"\t\t\t\t\t$ s_{x} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.746906\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Unbiased Coefficient Of Variation\">\n",
"\t\t\t\t\t$ v_{x} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.0197161\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Sample Range\">\n",
"\t\t\t\t\t$ R = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t9\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Interquartile Range\">\n",
"\t\t\t\t\t$ R_{IQ} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t</div>\n",
"\t\t</div>\n",
"\t\t<div class=\"Group\">\n",
"\t\t\t<div class=\"Title\">Shape</div>\n",
"\t\t\t<div class=\"List\">\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Skewness (Yule-Pearson)\">\n",
"\t\t\t\t\t$ S_{YP} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t-0.469939\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Skewness (3rd Momentum)\">\n",
"\t\t\t\t\t$ S_{M} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t-7.77051\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Kurtotis (Excess)\">\n",
"\t\t\t\t\t$ \\gamma = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t66.6546\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t</div>\n",
"\t\t</div>\n",
"\t\t<div class=\"Group\">\n",
"\t\t\t<div class=\"Title\">Rank</div>\n",
"\t\t\t<div class=\"List\">\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Unbiased Variance (Rank)\">\n",
"\t\t\t\t\t$ s^{2}_{rk_{x}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t8222.38\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Unbiased Standard Deviation (Rank)\">\n",
"\t\t\t\t\t$ s_{rk_{x}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t90.6774\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Unbiased Coefficient Of Variation (Rank)\">\n",
"\t\t\t\t\t$ v_{rk_{x}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.181174\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t</div>\n",
"\t\t</div>\n",
"\t\t<div class=\"Group\">\n",
"\t\t\t<div class=\"Title\">Binning</div>\n",
"\t\t\t<div class=\"List\">\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Number Of Bins (PDF)\">\n",
"\t\t\t\t\t$ k_{PDF} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t20\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Number Of Bins (CDF)\">\n",
"\t\t\t\t\t$ k_{CDF} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t10\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Mode (Binning)\">\n",
"\t\t\t\t\t$ x_{D_{PDF}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t37.775\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t</div>\n",
"\t\t</div>\n",
"\t</div>\n",
"\t\n",
"</div>\n",
"<div id=\"NetworKit_Page_0_Centrality.ClusteringCoefficient\" class=\"SubCategory Measure\" data-title=\"Local Clustering Coefficient\">\n",
"\t<div class=\"Details\">\n",
"\t\t<div class=\"Value\" data-title=\"Description\">The local clustering coefficient of a node is the fraction of edges that exist between neighbors of that node (or, equivalently, closed triangles centered on that node)</div>\n",
"\t\t<div class=\"Value\" data-title=\"Algorithm\">LocalClusteringCoefficient</div>\n",
"\t\t<div class=\"Spacer\"></div>\n",
"\t</div>\n",
"\t<div class=\"Plot\" title=\"Centrality.ClusteringCoefficient\" 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6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_9%22%3E%20%3Cpath%20clip-path%3D%22url%28%23pcb3944f935%29%22%20d%3D%22M%20107.31765%20129.970625%20L%20117.701128%20129.970625%20L%20117.701128%2056.083319%20L%20107.31765%2056.083319%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_10%22%3E%20%3Cpath%20clip-path%3D%22url%28%23pcb3944f935%29%22%20d%3D%22M%20117.701128%20129.970625%20L%20128.084606%20129.970625%20L%20128.084606%2041.809635%20L%20117.701128%2041.809635%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_11%22%3E%20%3Cpath%20clip-path%3D%22url%28%23pcb3944f935%29%22%20d%3D%22M%20128.084606%20129.970625%20L%20138.468084%20129.970625%20L%20138.468084%2017.460409%20L%20128.084606%2017.460409%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_12%22%3E%20%3Cpath%20clip-path%3D%22url%28%23pcb3944f935%29%22%20d%3D%22M%20138.468084%20129.970625%20L%20148.851562%20129.970625%20L%20148.851562%2026.696322%20L%20138.468084%2026.696322%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_13%22%3E%20%3Cpath%20clip-path%3D%22url%28%23pcb3944f935%29%22%20d%3D%22M%20148.851563%20129.970625%20L%20159.235041%20129.970625%20L%20159.235041%2038.451121%20L%20148.851563%2038.451121%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_14%22%3E%20%3Cpath%20clip-path%3D%22url%28%23pcb3944f935%29%22%20d%3D%22M%20159.235041%20129.970625%20L%20169.618519%20129.970625%20L%20169.618519%2057.762576%20L%20159.235041%2057.762576%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_15%22%3E%20%3Cpath%20clip-path%3D%22url%28%23pcb3944f935%29%22%20d%3D%22M%20169.618519%20129.970625%20L%20180.001997%20129.970625%20L%20180.001997%2066.158861%20L%20169.618519%2066.158861%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_16%22%3E%20%3Cpath%20clip-path%3D%22url%28%23pcb3944f935%29%22%20d%3D%22M%20180.001997%20129.970625%20L%20190.385475%20129.970625%20L%20190.385475%2093.026972%20L%20180.001997%2093.026972%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_17%22%3E%20%3Cpath%20clip-path%3D%22url%28%23pcb3944f935%29%22%20d%3D%22M%20190.385475%20129.970625%20L%20200.768953%20129.970625%20L%20200.768953%20102.262885%20L%20190.385475%20102.262885%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_18%22%3E%20%3Cpath%20clip-path%3D%22url%28%23pcb3944f935%29%22%20d%3D%22M%20200.768953%20129.970625%20L%20211.152431%20129.970625%20L%20211.152431%20114.857312%20L%20200.768953%20114.857312%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_19%22%3E%20%3Cpath%20clip-path%3D%22url%28%23pcb3944f935%29%22%20d%3D%22M%20211.152431%20129.970625%20L%20221.535909%20129.970625%20L%20221.535909%20119.895083%20L%20211.152431%20119.895083%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_20%22%3E%20%3Cpath%20clip-path%3D%22url%28%23pcb3944f935%29%22%20d%3D%22M%20221.535909%20129.970625%20L%20231.919387%20129.970625%20L%20231.919387%20125.772483%20L%20221.535909%20125.772483%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_21%22%3E%20%3Cpath%20clip-path%3D%22url%28%23pcb3944f935%29%22%20d%3D%22M%20231.919387%20129.970625%20L%20242.302865%20129.970625%20L%20242.302865%20124.932854%20L%20231.919387%20124.932854%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_22%22%3E%20%3Cpath%20clip-path%3D%22url%28%23pcb3944f935%29%22%20d%3D%22M%20242.302865%20129.970625%20L%20252.686343%20129.970625%20L%20252.686343%20127.45174%20L%20242.302865%20127.45174%20z%20%22%20style%3D%22fill%3A%2301796f%3Bfill-opacity%3A0.2%3Bstroke%3A%2301796f%3Bstroke-linejoin%3Amiter%3Bstroke-opacity%3A0.6%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_23%22%3E%20%3Cpath%20d%3D%22M%2036.71%20129.970625%20L%2036.71%2012.96%20%22%20style%3D%22fill%3Anone%3Bstroke%3A%23d3d3d3%3Bstroke-linecap%3Asquare%3Bstroke-linejoin%3Amiter%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_24%22%3E%20%3Cpath%20d%3D%22M%20260.993125%20129.970625%20L%20260.993125%2012.96%20%22%20style%3D%22fill%3Anone%3Bstroke%3A%23d3d3d3%3Bstroke-linecap%3Asquare%3Bstroke-linejoin%3Amiter%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_25%22%3E%20%3Cpath%20d%3D%22M%2036.71%20129.970625%20L%20260.993125%20129.970625%20%22%20style%3D%22fill%3Anone%3Bstroke%3A%23d3d3d3%3Bstroke-linecap%3Asquare%3Bstroke-linejoin%3Amiter%3B%22%2F%3E%20%3C%2Fg%3E%20%3Cg%20id%3D%22patch_26%22%3E%20%3Cpath%20d%3D%22M%2036.71%2012.96%20L%20260.993125%2012.96%20%22%20style%3D%22fill%3Anone%3Bstroke%3A%23d3d3d3%3Bstroke-linecap%3Asquare%3Bstroke-linejoin%3Amiter%3B%22%2F%3E%20%3C%2Fg%3E%20%3C%2Fg%3E%20%3C%2Fg%3E%20%3Cdefs%3E%20%3CclipPath%20id%3D%22pcb3944f935%22%3E%20%3Crect%20height%3D%22117.010625%22%20width%3D%22224.283125%22%20x%3D%2236.71%22%20y%3D%2212.96%22%2F%3E%20%3C%2FclipPath%3E%20%3C%2Fdefs%3E%20%3C%2Fsvg%3E\"></div>\n",
"\t<div class=\"Stat\">\n",
"\t\t<div class=\"Group\">\n",
"\t\t\t<div class=\"Title\">Properties</div>\n",
"\t\t\t<div class=\"List\">\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Sample Size\">\n",
"\t\t\t\t\t$ n = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t1000\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Bessel's Correction\">\n",
"\t\t\t\t\t$ f_{BC} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t1.001\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Assortativity\">\n",
"\t\t\t\t\t$ r = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.0341028\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Centralization\">\n",
"\t\t\t\t\t$ C = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.021778\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t</div>\n",
"\t\t</div>\n",
"\t\t<div class=\"Group\">\n",
"\t\t\t<div class=\"Title\">Location</div>\n",
"\t\t\t<div class=\"List\">\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Minimum\">\n",
"\t\t\t\t\t$ x_{(1)} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.0325203\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Maximum\">\n",
"\t\t\t\t\t$ x_{(n)} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.070922\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Smallest Mild Outlier\">\n",
"\t\t\t\t\t$ \\widetilde{x}_{O_{min}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.0325203\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Smallest Non Outlier\">\n",
"\t\t\t\t\t$ \\widetilde{x}_{N_{min}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.0341463\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"1st Quartile\">\n",
"\t\t\t\t\t$ \\widetilde{x}_{0.25} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.0460052\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"2nd Quartile / Median\">\n",
"\t\t\t\t\t$ \\widetilde{x}_{Med} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.0500726\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"3rd Quartile\">\n",
"\t\t\t\t\t$ \\widetilde{x}_{0.75} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.054078\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Biggest Non Outlier\">\n",
"\t\t\t\t\t$ \\widetilde{x}_{N_{max}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.0655391\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Biggest Mild Outlier\">\n",
"\t\t\t\t\t$ \\widetilde{x}_{O_{max}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.070922\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Arithmetic Mean\">\n",
"\t\t\t\t\t$ \\overline{x} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.0502381\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Interquartile Mean\">\n",
"\t\t\t\t\t$ \\overline{x}_{IQ} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.0501128\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Sample Mid-Range\">\n",
"\t\t\t\t\t$ \\overline{x}_{R} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.0517212\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Harmonic Mean\">\n",
"\t\t\t\t\t$ \\overline{x}_{H^{-1}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.0494244\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Quadratic Mean / Root Mean Square\">\n",
"\t\t\t\t\t$ \\overline{x}_{H^{2}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.0506355\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Cubic Mean\">\n",
"\t\t\t\t\t$ \\overline{x}_{H^{3}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.0510279\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t</div>\n",
"\t\t</div>\n",
"\t\t<div class=\"Group\">\n",
"\t\t\t<div class=\"Title\">Dispersion</div>\n",
"\t\t\t<div class=\"List\">\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Unbiased Sample Variance\">\n",
"\t\t\t\t\t$ s^{2}_{x} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t4.0133e-05\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Unbiased Standard Deviation\">\n",
"\t\t\t\t\t$ s_{x} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.00633506\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Unbiased Coefficient Of Variation\">\n",
"\t\t\t\t\t$ v_{x} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.126101\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Sample Range\">\n",
"\t\t\t\t\t$ R = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.0384017\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Interquartile Range\">\n",
"\t\t\t\t\t$ R_{IQ} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.0080728\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t</div>\n",
"\t\t</div>\n",
"\t\t<div class=\"Group\">\n",
"\t\t\t<div class=\"Title\">Shape</div>\n",
"\t\t\t<div class=\"List\">\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Skewness (Yule-Pearson)\">\n",
"\t\t\t\t\t$ S_{YP} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.0783701\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Skewness (3rd Momentum)\">\n",
"\t\t\t\t\t$ S_{M} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.127057\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Kurtotis (Excess)\">\n",
"\t\t\t\t\t$ \\gamma = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.1818\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t</div>\n",
"\t\t</div>\n",
"\t\t<div class=\"Group\">\n",
"\t\t\t<div class=\"Title\">Rank</div>\n",
"\t\t\t<div class=\"List\">\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Unbiased Variance (Rank)\">\n",
"\t\t\t\t\t$ s^{2}_{rk_{x}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t83415.6\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Unbiased Standard Deviation (Rank)\">\n",
"\t\t\t\t\t$ s_{rk_{x}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t288.818\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Unbiased Coefficient Of Variation (Rank)\">\n",
"\t\t\t\t\t$ v_{rk_{x}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.577058\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t</div>\n",
"\t\t</div>\n",
"\t\t<div class=\"Group\">\n",
"\t\t\t<div class=\"Title\">Binning</div>\n",
"\t\t\t<div class=\"List\">\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Number Of Bins (PDF)\">\n",
"\t\t\t\t\t$ k_{PDF} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t20\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Number Of Bins (CDF)\">\n",
"\t\t\t\t\t$ k_{CDF} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t186\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t\t<div class=\"Entry\" data-tooltip=\"Mode (Binning)\">\n",
"\t\t\t\t\t$ x_{D_{PDF}} = $\n",
"\t\t\t\t\t<span class=\"MathValue\">\n",
"\t\t\t\t\t\t0.048841\n",
"\t\t\t\t\t</span>\n",
"\t\t\t\t</div>\n",
"\t\t\t</div>\n",
"\t\t</div>\n",
"\t</div>\n",
"\t\n",
"</div>\n",
"<div id=\"NetworKit_Page_0_Centrality.PageRank\" class=\"SubCategory Measure\" data-title=\"PageRank\">\n",
"\t<div class=\"Details\">\n",
"\t\t<div class=\"Value\" data-title=\"Description\">PageRank assigns relative importance to nodes according to their connections, incorporating the idea that edges to high-scoring nodes contribute more.</div>\n",
"\t\t<div class=\"Value\" data-title=\"Algorithm\">PageRank</div>\n",
"\t\t<div class=\"Spacer\"></div>\n",
"\t</div>\n",
"\t<div class=\"Plot\" title=\"Centrality.PageRank\" 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