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thejevans/network_growth_animation.ipynb

Last active March 2, 2022 16:13
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network_growth_animation.ipynb
{
"cells": [
{
"cell_type": "code",
"execution_count": 29,
"id": "3e571f2e-aaba-446e-8f5c-30ea5a9568e3",
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
"<Figure size 1500x1500 with 1 Axes>"
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},
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],
"source": [
"from matplotlib import pyplot as plt, animation\n",
"import networkx as nx\n",
"import random\n",
"import numpy as np\n",
"\n",
"import matplotlib_inline.backend_inline\n",
"matplotlib_inline.backend_inline.set_matplotlib_formats('svg', 'pdf')\n",
"\n",
"# parameters to change\n",
"m = 4\n",
"nodes_to_add = 15\n",
"fps = 1\n",
"filename = 'ani.gif'\n",
"\n",
"fig = plt.figure(figsize=(5,5), dpi=300)\n",
"G = nx.complete_graph(m + 1)\n",
"pi_rads = [2 * i / (m + 1) for i in range(m+1)]\n",
"circ = list(range(m+1))\n",
"\n",
"def pi_rad_to_xy(pi_rad):\n",
" return np.cos(np.pi * pi_rad), np.sin(np.pi * pi_rad)\n",
"\n",
"def add_node(m):\n",
" new_node = nx.number_of_nodes(G)\n",
" idx = random.randint(0, new_node - 1)\n",
" link = (circ[idx - 1], circ[idx])\n",
" G.add_node(new_node)\n",
" \n",
" lo = (idx - m//2) % len(circ)\n",
" hi = (idx + m//2) % len(circ)\n",
" \n",
" if hi < lo:\n",
" m_neighbors = circ[lo:]\n",
" m_neighbors.extend(circ[:hi])\n",
" else:\n",
" m_neighbors = circ[lo:hi]\n",
" \n",
" for node in m_neighbors:\n",
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" \n",
" circ.insert(idx, new_node)\n",
" mean = (pi_rads[idx - 1] + pi_rads[idx]) / 2\n",
" if pi_rads[idx] <= 0 and pi_rads[idx - 1] > 0:\n",
" mean -= 1\n",
" pi_rads.insert(idx, mean)\n",
"\n",
"flag = [0, False]\n",
" \n",
"def animate(frame):\n",
" fig.clear()\n",
" plt.xlim([-1.1, 1.1])\n",
" plt.ylim([-1.1, 1.1])\n",
" if flag[0] > 1:\n",
" if flag[1]:\n",
" flag[1] = False\n",
" pi_rads_temp = [2 * i / nx.number_of_nodes(G) for i in range(nx.number_of_nodes(G))]\n",
" for i, pi_rad in enumerate(pi_rads_temp):\n",
" pi_rads[i] = pi_rad\n",
" else:\n",
" flag[1] = True\n",
" add_node(m)\n",
" edges = G.edges()\n",
" colors = ['r' if nx.number_of_nodes(G) - 1 in (u,v) else 'k' for u,v in edges]\n",
" else:\n",
" flag[0] = flag[0] + 1\n",
" colors = ['k'] * (nx.number_of_nodes(G) - 1)\n",
" \n",
" pos = {node: pi_rad_to_xy(pi_rad) for node, pi_rad in zip(circ, pi_rads)}\n",
" nx.draw(G, pos=pos, with_labels=True, node_size=500, node_color='C4', font_weight='bold', edge_color=colors)\n",
"\n",
"ani = animation.FuncAnimation(fig, animate, frames=2 * nodes_to_add + 1, interval=1000 / fps, repeat=True)\n",
"ani.save(filename)"
]
},
{
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"execution_count": null,
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