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@Verina-Armanyous
Created March 23, 2021 14:38
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### First question"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib\n",
"from pylab import *\n",
"import networkx as nx\n",
"import random as rd\n",
"\n",
"n = 30 # number of nodes\n",
"k = 4 # number of neighbors of each node\n",
"\n",
"def initialize():\n",
" global g\n",
" g = nx.Graph()\n",
" for i in range(n):\n",
" for j in range(1, k):\n",
" g.add_edge(i, (i-j)%n) \n",
" g.add_edge(i, (i - j) % n)\n",
" g.add_edge((i-1)%n, j) \n",
" g.add_edge((i+j)%n, j)\n",
" g.pos = nx.spring_layout(g)\n",
" g.count = 0\n",
"\n",
"def observe():\n",
" global g\n",
" cla()\n",
" nx.draw(g, pos = g.pos)\n",
"\n",
"def update():\n",
" global g\n",
" g.count += 1\n",
" if g.count % 20 == 0: # rewiring once in every 20 steps\n",
" nds = list(g.nodes)\n",
" i = rd.choice(nds)\n",
" if g.degree[i] > 0:\n",
" g.remove_edge(i, rd.choice(list(g.neighbors(i))))\n",
" nds.remove(i)\n",
" for j in g.neighbors(i):\n",
" nds.remove(j)\n",
" g.add_edge(i, rd.choice(nds))\n",
"\n",
" # simulation of node movement\n",
" g.pos = nx.spring_layout(g, pos = g.pos, iterations = 5)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"initialize()\n",
"observe()\n",
"for i in range(20):\n",
" update()\n",
"observe()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Second question"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"m = 1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"m = 3"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"m = 5"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.7"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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