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DDD Systems a second rough simulation
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# DDD Systems: a second rough simulation" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"%matplotlib inline" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"![img](http://www.cybertelecom.org/images/baran.gif)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"A first simulation of how DDD systems could be generated as graphs with a simple network science approach. It extends the above graph (Baran, Paul. 1964. ‘On Distributed Communications’. Santa Monica, CA.: RAND Corporation. http://www.rand.org/pubs/research_memoranda/RM3420.html.)\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Set up and functions" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"# Import libraries\n", | |
"import networkx as nx\n", | |
"import matplotlib.pyplot as plt\n", | |
"from random import choice\n", | |
"from math import hypot" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# Set up colors\n", | |
"node_color = '#ff6600'\n", | |
"edge_color = '#ffb583'" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"# We use a random graph for all the systems\n", | |
"G=nx.random_geometric_graph(20,0.125)\n", | |
"\n", | |
"# random_geometric_graph is already distributed: https://networkx.github.io/documentation/latest/reference/generated/networkx.generators.geometric.random_geometric_graph.html\n", | |
"# See all the generators here: http://networkx.github.io/documentation/networkx-1.10/reference/generators.html#module-networkx.generators.random_graphs\n", | |
"\n", | |
"# position is stored as node attribute data for random_geometric_graph\n", | |
"pos=nx.get_node_attributes(G,'pos')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"# Find the center\n", | |
"def find_node_near_center(near_x,near_y):\n", | |
" # find node near center (near_x,near_y)\n", | |
" dmin=1\n", | |
" ncenter=0\n", | |
" for n in pos:\n", | |
" x,y=pos[n]\n", | |
" d=(x-near_x)**2+(y-near_y)**2\n", | |
" if d<dmin:\n", | |
" ncenter=n\n", | |
" dmin=d\n", | |
" return ncenter" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# Find if point inside a circle\n", | |
"# From http://stackoverflow.com/a/487872/2237113\n", | |
"\n", | |
"def in_radius(c_x, c_y, r, x, y):\n", | |
" return hypot(c_x-x, c_y-y) <= r" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# Find nodes around a node, with radius \n", | |
"def find_nodes_near_center(local_hub,local_radius):\n", | |
" # find node nodes around a node local_hub, with radius local_radius\n", | |
" local_nodes = []\n", | |
" for k in pos:\n", | |
" if in_radius(pos[local_hub][0], pos[local_hub][1], local_radius, pos[k][0], pos[k][1]):\n", | |
" local_nodes.append(k)\n", | |
" return local_nodes" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# Remove all edges\n", | |
"def remove_all_edges():\n", | |
" edges = []\n", | |
" for i in G.edges():\n", | |
" edges.append(i)\n", | |
" G.remove_edges_from(edges)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# Get the central node\n", | |
"ncenter = find_node_near_center(0.5,0.5)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# DDD Systems" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Diffuse systems" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x116e1ce90>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Diffuse system\n", | |
"# Inspiration from http://stackoverflow.com/questions/17301887/how-to-compute-nearby-nodes-with-networkx\n", | |
"\n", | |
"# Clear the graph\n", | |
"remove_all_edges()\n", | |
"\n", | |
"# Find closest nodes\n", | |
"distribution_radius = 0.15\n", | |
"all_distributed = {}\n", | |
"for i in G.nodes():\n", | |
" local_distributed = find_nodes_near_center(i, distribution_radius)\n", | |
" all_distributed[i] = local_distributed\n", | |
"\n", | |
"# Add edges\n", | |
"for d in all_distributed:\n", | |
" for h in all_distributed[d]:\n", | |
" G.add_edge(d,h)\n", | |
" \n", | |
"plt.figure(figsize=(8,8))\n", | |
"nx.draw_networkx_edges(G,pos,alpha=0.4,edge_color=edge_color, width=5.0)\n", | |
"nx.draw_networkx_nodes(G,pos,\n", | |
" node_size=80,\n", | |
" node_color=node_color,\n", | |
" cmap=plt.cm.Reds_r)\n", | |
"\n", | |
"plt.xlim(-0.05,1.05)\n", | |
"plt.ylim(-0.05,1.05)\n", | |
"plt.axis('off')\n", | |
"plt.savefig('01_diffuse.pdf')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Decentralized systems" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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BNlt4gnrP+NkuFFUZCIazJA2SpW7TGj8xylf+5I+plJuvEl9azfBxZs8bn11s01VnOEvSoFrMNq1//uwtHP7Br1MpNy/XmRQmuOr1n+SGOx7KefU88Cz1MO7dIR4DxK1UkjSoFrNNa3pyG5VK673VlfJqJs9sqv6pTDhRqzZv/HyXD+oYCoazJA2DsPDq6erjm9VtWv+OCy5ZQ2GknDvfXJMk55k5/2Pgi8DRamlSrSCHtSVp2GTpGuCdwJWLmnP2bPquW85mcUlSv8nSi4EPEBaNwfrNk2zZ+TmSQrNV1GeBewzm7jKcJWlYZOk1hAIesw+1uOlDD7Bl5+chmQTOEBZ5nQHO4TkBPeGwtiQNuiwtAG8Ebmhx1/fJfv9xzk8MfPWtfmA4S9IgC9up3kWo7pVnCvgqxdKR7jVKC3G1tiQNqrAi+z00L7n5EvAliqWT3WuUFsNwlqRBlKXXA28jnNqU5yDwNbdFxclwlqRBEuaXbwFe1eSOCvA9iqWHu9coLZXhLEmDIkvXAe8mLOjKMwn8A8XS091rlNphOEvSIMjSy4DbqJXlnO8Fwvzy6SavKyKGsyT1uyx9JfAWmteueAL4OsXSdPcapeUwnCWpX4XDLN4E/EKTOyrAdyiWHuleo9QJhrMk9aMsXU/YJnVZkzsmgK9QLD3bvUapUwxnSeo3WbqVML+8rskdzwNfpliyulefMpwlqZ9k6S8ShrKbzS//BPhm9YhI9SnDWZL6QZauIiz62tnkjjLwLYqlR7vXKK0Uw1mSYpelGwjzy5c0uWOcMIx9vHuN0koynCUpZll6OaGwyNomdxwnBPN49xqllWY4S1KssvQ1wM1A0uSORwlD2eXuNUrdYDhLUmzC/PLbgWub3FEGvkGx9JPuNUrdZDhLUkyy9ELC/PLFTe44SyjD+Xz3GqVuM5wlKRZZegXwLmC0yR1HCYVFznWvUeoFw1mSYpClNwI3tbjjEeAh55eHg+EsSb2UpauBW4Grm9wxTTi04omutUk9ZzhLUq9k6WbC/PLmJnecJswvv9C9RikGhrMk9UKWXgW8A1jT5I6nga9SLE10r1GKheEsSd2UpQnweuB1Le56GPgexVKlO41SbAxnSeqWLF0DvBO4sskd08CDFEsHu9coxchwlqRuyNKLCPPLm5rccZIwv/xS9xqlWBnOkrTSsvQaworsZj9zjxDml6e61iZFzXCWpJUS5pffCNzY4q4fAD90flmNDGdJWglZupYwv3xFkzumgH+kWDrcvUapXxjOktRpWfoywvzyxiZ3nCDML5/oXqPUTwxnSVqusWQjsAvYyqZtZW760DjrL5pucveThBXZ57vXQPWbpFJxmkOS2jKWJMBdwN3ADLCWpDADFNiy83Pc9KEHSAqNH/FdiqWHe9BS9ZnCwrdIkpq4C9gNrAM2AKuolEeplFdz/MDtfPdT763eNwn8vcGsxTKcJakdYSj7bmB97uuV8hqOH7idsy+OA/splp7qZvPU35xzlqT27CIMZTdXqczw1T8d4c+mT3WnSRoU9pwlqT1bgbWtb6msojyzpSut0UAxnCWpPceAhU6MmgSOdqEtGjCGsyS1Zz8wssA9hep90pIYzpLUjn2V08AeYLzJHWeBe9hXOdO9RmlQuCBMktq3t/pc2+c8ShjKHgHShtelJbEIiSQtV9hWdSewjTDHvN8es5bDcJYkKTLOOUuSFBnDWZKkyBjOkiRFxnCWJCkyhrMkSZExnCVJiozhLElSZAxnSZIiYzhLkhQZw1mSpMgYzpIkRcZTqbSwUNR/F7CVcMD8/upxeZKkFeDBF2puLEmAu6gfh7cWmCAch7cH2Ms+v4AkqdPsOauVu4DdwLqGaxuqz7urz/d2tUWSNATsOStfGMo+zuxgnmsc2OK5tZLUWS4IUzO7CEPZrZSr90mSOshwVjNbCXPMrYwC27rQFkkaKoazmjlGWPzVyiRwtAttkaShYjirmf2EVdmtFKr3SZI6yHBWvrCPeQ9h0Vees8A9LgaTpM5zK5Va2Vt9ru1zHiUMZY8AacPrkqQOciuVFha2Vd1JWPx1lFAhzB6zJK0Qw1mSpMg45yxJUmQMZ0mSImM4S5IUGcNZkqTIGM6SJEXGcJYkKTKGsyRJkTGcJUmKjOEsSVJkDGdJkiJjOEuSFBnDWZKkyBjOkiRFxnCWJCkyhrMkSZExnCVJiozhLElSZAxnSZIiYzhLkhQZw1mSpMgYzpIkRcZwliQpMoazJEmRMZwlSYqM4SxJUmQMZ0mSImM4S5IUGcNZkqTIrOp1A6SOGEs2AruArcAxYD/7Kqd72yhJak9SqVR63QapfWNJAtwF3A3MAGuBCWAE2APsZZ9f5JL6iz1n9bu7gN3AuoZrG6rPu6vP93a1RZK0TPac1b/CUPZxZgfzXOPAFvZVznSnUZK0fC4IUz/bRRjKbqVcvU+S+obhrH62lTDH3MoosK0LbZGkjjGc1c+OERZ/tTIJHO1CWySpYwxn9bP9hFXZrRSq90lS3zCc1b/2VU6z8bI/JylMNbnjLHCPi8Ek9RvDWf3t1v/0Vbbs/DxJ4TxJYQKYgWQcOAekwN7eNlCSls6tVOpfWboO+CgA4ydGefzrNzJ5ZhMvPvVlJs/8pT1mSf3KIiTqZ1f+/L/Wb57khjseAk5SLP1175okScvnsLb62Y6ca4e73QhJ6jTDWf0pS1cB23NeOdTllkhSxxnO6ldXMH9aZoJQzlOS+prhrH51Vc61wxRLrnCU1PcMZ/WfLE1oFs6SNAAMZ/WjLcyvqT0NPN2DtkhSxxnO6kc7cq49Q7E03e2GSNJKMJzVj/KGtA91uxGStFIMZ/WXLN0MbMp55Ui3myJJK8VwVr/ZkXPtGMXSuW43RJJWiuGsfrMj55qrtCUNFMNZ/SNL1wOX5bxyqMstkaQVZTirn1yZc+0ExdLJrrdEklaQ4ax+siPn2qEut0GSVpzhrP6QpavJP+jC+WZJA8dwVr+4AhiZc+0c8FwP2iJJK8pwVr/YkXPNgy4kDSTDWfHL0gL5i8EOdbklktQVhrP6wVZgdM61aeDZHrRFklac4ax+kFdL+2kPupA0qAxn9YMdOdcOdbkNktQ1hrPilqUXAxvnXK3gQReSBpjhrNjtyLl2jGJpotsNkaRuMZwVu7z5ZguPSBpohrPilaUXAJfmvHKoyy2RpK4ynBWzvF7zSxRLp7reEknqIsNZMduRc+1Ql9sgSV1nOCtOWboGuDznFeebJQ08w1mxuoL5X5/jwPM9aIskdZXhrFjtyLl2yIMuJA0Dw1nxaX7QhUPakoaC4awYbQPWzLl2Hg+6kDQkDGfFKG8L1VMUSzNdb4kk9YDhrBjtyLl2qMttkKSeMZwVlyx9GbBhztUK8FQPWiNJPWE4KzY7cq4dpVia7HZDJKlXDGfFJm+++VC3GyFJvWQ4Kx5ZugG4JOeVQ11uiST1lOGsmOT1ml+gWDrT9ZZIUg8ZzorJjpxrFh6RNHRW9boBElA76GJbziuHOvp5xpKNwC5gK3AM2M++yumOfg5JWibDWbG4kvkjOWcoln7WkXcfSxLgLuBuYAZYC0wA9zGW7AH2sq9i3W5JUTCcFYu8+eZODmnfBewG1jVcq+2n3l19vreDn0+S2uacs3ovHHTx8pxXOhPOYSj7bmB9kzvWA3czlswtfiJJPWE4KwaXM/+giyk6d9DFLkhaD1knhYQrbvh9svSG6pYuSeoZh7UVgx05156iWCp35N3XbXol506OtrynUl7NzNR24GbgZrL0OPBT4CDF0nhH2iFJi2Q4KwYrVxUsSzdz2XWXcORH01TKI03vSwrnGd1wsuHKlurjTWTps4SgfpJiaaIj7ZKkFgxn9VaWXgJcMOdqmU4cdBG2Z72Hnbc+wpEfLTSFU2Dn2x9u8trl1cdbyNKnCUF9iGJpatltlKQchrN6bUfOtWeXHXxZmgDvBDazfvMkW3Z+juMHbqdSnju3DUkyyZadX2DdpoUO10gIC9deDpTJ0iOEoD5MsTS9rPZKUgPDWb22I+daJ1Zpv4Gwdzq46UMP8N1PwfGf3E6lMgWMApPACJXKHl73gT8Drq0+LlrE+xcIbd8BTJOlhwlB/RTF0kwH2i9piCUV6y6oV7J0I/ChnFc+uax62ll6DfDunFfO88Q/fYUff/FWQjWyo4QKYbM/V5ZeDFwDXAdcuMTPPkWYL/8p8EzHFrVJGiqGs3onS18FvGnO1Z9RLP3dMt7zYuBO8keFvkSxdGiJ73cJ9R71UrdYTQJPAk8QzqT2m03dY6navmY4q3ey9HbCQqtG36dY+mGb77eW8MNoY86r7b9veO8EuIx6UK9r/QHzjAMHq4/jBrVWTPNStSOApWr7hHPO6o0sHSX/oIv25ptDlbF3kx/Mh4AftfW+NSFMjwPHydJvE9p+LWH4u/Ue6mA98Krq4wxZehB4omO1w6U6S9UOAHvO6o0svR54x5yrZyiWPtnm+/0y8OqcV14CPk2xdL6t91348xaA7YSg3sH8SmcLOUWYn/4pxdKLnW2cBk6zoeqwfmM7p45fy4Of+DsqlVZfh+PAlnlrLRQVe87qlR051w619U5ZupP8YJ4EHlixYAaqC76eAp4iS0cI26yuJRRWWcz314XAa4HXkqUvUQ/qk60/TEMlf6h6EpI/Z/f1+7nlo/9IUoAnH7ollKpt2ekqEwL+/hVvt9pmOKv76iE216E23usy4K05r1SAf6BYOrXk92xX2EJ1CDhElq4iBPS15B+HmeciwhawN5ClP6Me1PZwhl1h5Hcpz/wes4eqV0EFnj/4Ab77qTXc/OEHmDxzIZXyQj/Xm00pKSKGs3phO/O/9qYIw3SLl6XrgdsIC13meohi6em2WtcJoShJCNdQqWwHIaivIBQzWcgl1Yd1vodRlq4mDF1v5+yLO6lU/juwOvfeSnkNxw/czrmTDzK64RRJoXWp2jCidLTzjVYnGc7qhbxa2keWtCc49L5vY37pT4DHKZb+pc22dV6odnYAOFBdUX41IajnrlRvxjrfgy58PW8hfE3URlwuBjbxzCOvISkkVFp+e5Q58LUbuf5tP+LwDz6ywGcrAPs70WytHMNZ3RW2JHXioIs3E36YzfUz4BtLfK/uCYH6GPBYted/DeEHcd7fJY91vgdBWEh4KeH/5Q7gemphPHc//cTptZRnWvWEw6lqZ19cxfrN32H0gv/BxOnfIv/88rNA6mKw+BnO6rZLmf9DY2kHXWTpLwKvzHnlHKHQSH/UuQ5D1P8K/Gv1DOnaHupLFvHR1vnuJ+GX0osJUzpXEb5+XwZsJn/0p27txgkKIzOUp1v9vD7H8z/9CsXS9/jM7u8TdgHUFo/VS9VCCuxd5t9GXeBWKnVXlt4E3Djn6lMUS3+/yI/fBvwq8xdYlYHPUywtbd46Rlm6iaXV+W40Tdgrbp3vXsvSzYSe8dXALxB+Md3EQmE81+TZVTzwRx+k0rL3PH97VNh2dSetStUqWvac1W15Q9qLKzwSepe3kb/y+VsDEcxAdRvVD4EfVsuR1oJ6MXW+VzXcP0WWHsI6390Rvj63Uw/jbYQwzhteXoxJ4CVGLzjJZdeOcPzx90Flbc59+UPVoVSn26X6lOGs7snSC8nvCR5axMeuAt5D2N8512MUS48uq22xCoVJXgS+V63zfR1hnnoxdb7XADurj8lqVbKfYp3vzghrBhp7xlewvDCeAk4CJ4DaNMVR4CjHD4wze5+zQ9UDzmFtdU+Wvga4Zc7V5ymWFl45mqXvJATTXMcIw9nD0yu0zndv1EvOXgv8ImH/+iaW/u9fM009jA8Dj1ML42Zb5hyqHhqGc7/p55NmsvQOQrsbfY9iqXXd6/xQhzCct3+o9/6GoN5G+MXlahZX57vRGUJIW+d7rvpe42uBXyKsql5OGM8QwvgkYbToAPAsIYzPLbO1GjCGc7/o95Nmwv7ejzK/AMf/a1lTOkuvAH4l5+NmgM9SLD3fyWb2tdl1vq+mWdGK5oa7znd9r3EtjK8hTMPkTaUsRoXwb3qCEMb/hmGsRTKc+8VY8jHCiTJ581njwD3sq8R70kyof33rnKunKJb+qsXHXAh8gPzDJP6RYunxjrVv0LRX57vR4Nf5Dr/R00YSAAAMx0lEQVTM1Obxf4n6XuOljj7UVAgjEbUwfgx4mhDGFozRkhjO/SAMZR+n9XBa3CfNZOl7mH/YxSMUS99ucv9qwtxa3gKy5h+n+cK/5ZUsrc53o8Go813fa3w94ejO6wl7jdsNYwhTKyeAJ4FHCfv1jxnGWi5Xa/eHXYRh3FbiPWkmrLS+IueVQ03uTwjHSeYF8zPAQ51q2lAIp3INZ53vsGf8FYSe8U7CXuPlhPE5wqjCIeDHhIVcxyiWJpfXUGk2w7k/bGXhea91rL0wr2pWDPIOupggjAbkeR35R0qeJpw0NTwrsztt0Ot8h73GryD0jHcSvneWesZ2o7DXuN4zPkgIY8ulakUZzv3hGCHMmu9tTQrn2fqKrWTprcC3I/tNfvEHXWTpDuD1OfdPE85mjiMEBsEg1PnO0nWEMH41IYwvZ3lhfJ56GP+Y8HcyjNV1zjn3g8XMOSeFKW777d9h3aZJwtDbNymWnuxSC5sLQ9QfYX7bv0SxdGjOvRcR5pnzVhl/OYq/zzBYep3vRmXqBTQ6X+c7DMu/knoYX8Hywniaehg/RlhRfbw6FSD1jOHcL1qt1k4KU2zZ+Xlu/vADc155Evinns4NZukW4P1zrs4A/3fWD+5Q4GEX+SUqf0ix9P0Va6Oa63Wd77BeoRbGryCsQF9OGNf2Gh8kDFM/hmGsCBnO/WL+Pudq+b5kNVtf8QVu+tADJLmLcCcJw9wHutfYBll6M3DDnKtHKJa+2HBPQtjLnLdo7DChl+0Xaq8tvc53oynCIqpQ5/szuy8gr5hO2AJWmzN+JWFKZDlhXGH2aupHCVubPLlLUTOc+01e+b7333MFoYJWqx9iTwHf6PpWmCz9NcKxeI2+TrH0bw335AU4hB+qn3a+L0JLr/MdVMrw0F++m+OP3wGVacIvmVOQrGL7qx7k9R98iiRZzmrqCmHh4E8JQ9SPYBirDxnOgyJLLwDeQv7iq5rzhG1Ij3WlJxqOzPu1nFfu/3mFpCy9Dnhnzj1ThNKcg1kAY1CEUY9aVa1rWKi05UN/+V6OH7idSnn+L5KFkWmufP0j3PC+Hy+xFacJw9SPEc7HfsYwVr8znAdNll4LvJnWW6+OEnqvKxt8WXoDcPOcq8cplj5Tff0Swnx03jm1X6RYOrKi7VNnta7zPcLEqa186Y9/l0q5+S6RwsgM7/2vf8ua9a3C9Syzw/iI51Zr0BjOgyjsX30T+ac41cwA3ydU21qZfcNZ+n7mb8v5LsXSw9UtMLvIHxIN96h/hdKYVwK/TNi3fhkHvnYdP3nwJsrTLcJ51TSveMdD7Hxb48r8c9TD+BHCKnDDWAPNcB5kWXoV8FZany/7PPC1jh90EML3ozmv/A3hMIBfJfSy5jpIsfSVjrZF3RNWV19JGOK+klBLIZTNfPjTv8LhH74ZKi3KhyZldrzxB9zwvk9TD+ODFp7RsLEIySArlg6TpUcJi8WaVQ+7FPgAWfowYctSp34I5s19n6RYOkGWvoX8YH4BeLBDn1/dEgK5dshGLZAbVYAXSApPkCQ3Uam0WPBVOcfh732c//bQX6xUc6V+YM95WGTp5cDbgY0t7nqJ0It+rgOf773MD+h/JuwxfVvOR0wQFoD1x9nUw64eyNew2FOvxk+M8pU/+WMq5VZHWcZ9gIvUJYbzMAk/UN9IKOjQTIUwlPj9tle8hs/zH5i/0OtbhF783GHNCvAFiqVn2/p86o76MZS1QF7qedETfO2+N3Himd8gf1X3WSCN+uhTqUsM52EUqna9nfn7jxudIvSij7bx/juA98y5Wib0jvPmv79FsfSvS/48WnmdCOR68ZGjfGZ3hdxiOowAe4C97POHkmQ4D6vwQ/e1wI20Pt/3UcLq6cUXAgmHb+xsuJIQ5rbzhssPUCw9uOj31soLXxtXEAJ5B0sP5ElCRa6DwLO56xjyiuk4lC39nOE87LL0ZYRedKsDDs4SqostvO847HX9KLP3We8EfgbMXRH+HPA5t8VEIATyduqBvNSSmZPUe8j5gSxp0Qxn1fakvoZwVGNeQZCaxwl1upsf25ilW4E7Gq5cTvhh/x3C0HbNOPB3PT2UY9iF/++NPeSlBvLsetkGstQxhrPqQrnNtxEOI2hmgnAc5cEm73ELIeghzGm/itBjfrThrjKhx3x8uU3WEoVArvWQr6b9QD4IPG0gSyvDcNZsYVj6l4CbaL095hAhpGf3fLP03xNOLBolVIZaBRwgnEddM/vgC62sEMiXE/Yh72B2Wc3FmKJ+9OMzTkNIK89wVr4s3UioLpZ3jGPNFGGY+yfVj7kI+CBhgdmNwAWEbVLfIZztC/BjiqV/WqFWq6YeyLUe8lID+Tyze8gGstRFhrNay9JXEOojtxr+fBr4Bi8eeTVPPfwfqZSvY/1FI1z1hiOMXvAC8C/V+44S9jM7FLoSQiBvo95DbnX4SZ7zhB7yQeApA1nqHcNZC8vS9YTjKHfkvh7O6L2N5554P0lSoVxeTWFkhkolYfurHuR1H/gbksIZwgKw5ovJtHQhkLcSAvlqlh7I08zuIXvUohQBw1mLl6XXEEJ6dgC0OqM3KUxx2XWf5ZaP/ibF0s+609ABVz+asTZk3foM5fmmmd1DNpClyBjOWppwHOUvA9cDi6yXnEyweu2lfHzcIhPtCoHc2ENuJ5CPEAL5iIEsxc1wVnuy9ErgrfzzZ9/F4R/8OpVy8wVHSWGCK197Pzfe+WnCqu3jwHNLqjo2jOqBXOshtzr6M4+BLPUpj4xUe4qlI2Tp33Ly6JuplFt/HVXKq5kav5iw8ru++jtLX6Ie1scJR0oO92+LIZC3EAL5GpYeyDPMDuTznW2gpG6w56zlGUt+A/hfhG1T+ZLCBFe9/pPccMdDC7zbJKGkZy2snx+K3nVnAvkpwj5kA1kaAIazliccYHCcVnOgSWGK2377d1i3abKNz/Ais4fCT7TVztiEQL6MeiA3/+UmXy2QDwKHDWRpsBjOWr6x5GPAbnJ7fMkkW67/HLd89Msd+myT1IK6Htj9E0xZ2hjIG5b40WVm95AHf1RBGlLOOasT9lafc87orexh8/a9wMWEodvLqs+b2vxco8CV1QdAZd7cdbF0ss33XhnLD+SnCYF82ECWhoM9Z3XOUs7oDVuyakFdC+1O/bI4wfy56+72rrP0UkIYX0v7gXwQOGQgS8PHcFYcQqWri6iH9RbCARqdUGH23PVxiqVTHXrvuiy9hHogb1ziR5eBZ6j3kNuZn5c0IAxnxStL1zG7d30pne1d1xeahbnr/H3AYURgF2HP8THCiMDpahtrgXwNS/9lohbItR6ygSwJMJzVT0LvujZ3XRsK72Tv+gUaA/szu08Dd1GfS19LCPURLtz6f7j1N79JUljq568wO5CtNS5pHsNZ/S30rmtBvRW4hE71rr/9F+/iuSfugMr8wySSwhRbdn6emz/8wCLeyUCWtCSGswZL6F2/jNkrw5c6/7u4muGt929XgGcJgfykgSxpKdxKpcESzop+vvoIwpGXc+euR1q+z+Nffy1hTriVMge+dmND5bMKYZX6Twk95HNt/A0kyXDWECiWxglnFh8C5vaua4/Z250mz1y4qJrhk2c2MbuHbCBLWjaHtSWo9a7rYf3wZ97HkR9+pOVpWyTjrB79z3z83P/uUislDQnDWcrzX7Zu4tTxo7Q+N3kc2NK00IoktanQ6wZIUfqjYyeBPYQAznMWuMdglrQSnHOWmmtRM5y04XVJ6iiHtaWFLKVmuCR1gOEsSVJknHOWJCkyhrMkSZExnCVJiozhLElSZAxnSZIiYzhLkhQZw1mSpMgYzpIkRcZwliQpMoazJEmRMZwlSYqM4SxJUmQMZ0mSImM4S5IUGcNZkqTIGM6SJEXGcJYkKTKGsyRJkTGcJUmKjOEsSVJkDGdJkiJjOEuSFBnDWZKkyBjOkiRFxnCWJCkyhrMkSZExnCVJiozhLElSZAxnSZIiYzhLkhQZw1mSpMgYzpIkRcZwliQpMoazJEmRMZwlSYqM4SxJUmQMZ0mSImM4S5IUGcNZkqTIGM6SJEXGcJYkKTKGsyRJkTGcJUmKjOEsSVJkDGdJkiJjOEuSFBnDWZKkyBjOkiRFxnCWJCkyhrMkSZExnCVJiozhLElSZAxnSZIiYzhLkhQZw1mSpMgYzpIkRcZwliQpMoazJEmRMZwlSYqM4SxJUmQMZ0mSImM4S5IUGcNZkqTIGM6SJEXGcJYkKTKGsyRJkTGcJUmKjOEsSVJkDGdJkiJjOEuSFBnDWZKkyBjOkiRFxnCWJCkyhrMkSZExnCVJiozhLElSZAxnSZIiYzhLkhQZw1mSpMgYzpIkRcZwliQpMoazJEmRMZwlSYrM/wfp25Lz54fxRgAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x11af31150>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Decentralized system\n", | |
"\n", | |
"# Clear the graph\n", | |
"remove_all_edges()\n", | |
"\n", | |
"# pick n random hub nodes\n", | |
"number_of_hubs = 3\n", | |
"hubs = []\n", | |
"for j in range(number_of_hubs):\n", | |
" hubs.append(choice(range((len(G.nodes())))))\n", | |
"\n", | |
"for lb in hubs:\n", | |
" # Find closest nodes\n", | |
" distribution_radius = 0.3\n", | |
" local_distributed = find_nodes_near_center(lb, distribution_radius)\n", | |
" \n", | |
" # Add edges around the local center\n", | |
" for d in local_distributed:\n", | |
" G.add_edge(lb,d)\n", | |
" \n", | |
"plt.figure(figsize=(8,8))\n", | |
"nx.draw_networkx_edges(G,pos,alpha=0.4,edge_color=edge_color, width=5.0)\n", | |
"nx.draw_networkx_nodes(G,pos,\n", | |
" node_size=80,\n", | |
" node_color=node_color,\n", | |
" cmap=plt.cm.Reds_r)\n", | |
"\n", | |
"plt.xlim(-0.05,1.05)\n", | |
"plt.ylim(-0.05,1.05)\n", | |
"plt.axis('off')\n", | |
"plt.savefig('02_decentralized.pdf')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Centralized systems" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x11b0e3f50>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Centralized\n", | |
"\n", | |
"# Clear the graph\n", | |
"remove_all_edges()\n", | |
"\n", | |
"# Add edges around the center\n", | |
"for i in G.nodes():\n", | |
" G.add_edge(ncenter,i)\n", | |
"\n", | |
"plt.figure(figsize=(8,8))\n", | |
"nx.draw_networkx_edges(G,pos,alpha=0.4,edge_color=edge_color, width=5.0)\n", | |
"nx.draw_networkx_nodes(G,pos,\n", | |
" node_size=80,\n", | |
" node_color=node_color,\n", | |
" cmap=plt.cm.Reds_r)\n", | |
"\n", | |
"plt.xlim(-0.05,1.05)\n", | |
"plt.ylim(-0.05,1.05)\n", | |
"plt.axis('off')\n", | |
"plt.savefig('03_centralized.pdf')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10b8cfc50>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Distributed\n", | |
"# All nodes are (potentially) connected to each other\n", | |
"\n", | |
"# Clear the graph\n", | |
"remove_all_edges()\n", | |
"\n", | |
"# Circular layout, to show they are all equivalent\n", | |
"#pos=nx.circular_layout(G)\n", | |
"\n", | |
"# Add edges around the center\n", | |
"for i in G.nodes():\n", | |
" for j in G.nodes():\n", | |
" G.add_edge(i, j)\n", | |
"\n", | |
"plt.figure(figsize=(8,8))\n", | |
"nx.draw_networkx_edges(G,pos,alpha=0.4,edge_color=edge_color, width=5.0)\n", | |
"nx.draw_networkx_nodes(G,pos,\n", | |
" node_size=80,\n", | |
" node_color=node_color,\n", | |
" cmap=plt.cm.Reds_r)\n", | |
"\n", | |
"\n", | |
"\n", | |
"plt.axis('off')\n", | |
"plt.savefig('04_distributed.pdf')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 2", | |
"language": "python", | |
"name": "python2" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 2 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython2", | |
"version": "2.7.16" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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