temp.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "import random\n",
    "import numpy as np\n",
    "from scipy.stats import pearsonr\n",
    "from power_law_fit import read_edgelist_from_csv,plot_degree_distribution,fit_powerlaw\n",
    "from collections import Counter\n",
    "import Graph_Sampling\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Sample graph (replace with your graph)\n",
    "# Read the graph from a GraphML file\n",
    "G = nx.read_graphml(\"data/homophilic_model_linear.graphml\")\n",
    "mapping = {node: int(node) for node in G.nodes()}\n",
    "G = nx.relabel_nodes(G, mapping) # turn the node label into intergers, as the configuration model has\n",
    "# Print some information about the graph\n",
    "\n",
    "\n",
    "# Extract x and y attributes\n",
    "x_values = nx.get_node_attributes(G, 'x')\n",
    "y_values = nx.get_node_attributes(G, 'y')\n",
    "\n",
    "# Plotting scatter plot\n",
    "plt.scatter(list(x_values.values()), list(y_values.values()))\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.title('Scatter plot of node attributes x and y')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([668., 602., 579., 566., 593., 590., 593., 577., 560., 547., 503.,\n",
       "        504., 505., 529., 539., 469., 531., 516., 486., 485., 477., 451.,\n",
       "        475., 484., 424., 457., 447., 432., 374., 420., 418., 430., 401.,\n",
       "        366., 419., 381., 383., 381., 382., 333., 334., 352., 345., 366.,\n",
       "        377., 292., 319., 313., 342., 292., 310., 267., 282., 277., 303.,\n",
       "        244., 264., 230., 248., 226., 229., 211., 240., 226., 209., 214.,\n",
       "        211., 186., 207., 206., 178., 160., 161., 157., 152., 140., 121.,\n",
       "        127., 138., 117., 104., 112.,  94., 113.,  85.,  88.,  75.,  67.,\n",
       "         63.,  52.,  61.,  42.,  47.,  33.,  46.,  21.,  25.,  11.,   8.,\n",
       "          3.]),\n",
       " array([4.89287205e-06, 9.97831287e-03, 1.99517329e-02, 2.99251529e-02,\n",
       "        3.98985728e-02, 4.98719928e-02, 5.98454128e-02, 6.98188328e-02,\n",
       "        7.97922528e-02, 8.97656728e-02, 9.97390928e-02, 1.09712513e-01,\n",
       "        1.19685933e-01, 1.29659353e-01, 1.39632773e-01, 1.49606193e-01,\n",
       "        1.59579613e-01, 1.69553033e-01, 1.79526453e-01, 1.89499873e-01,\n",
       "        1.99473293e-01, 2.09446713e-01, 2.19420133e-01, 2.29393553e-01,\n",
       "        2.39366973e-01, 2.49340393e-01, 2.59313813e-01, 2.69287233e-01,\n",
       "        2.79260653e-01, 2.89234073e-01, 2.99207493e-01, 3.09180913e-01,\n",
       "        3.19154333e-01, 3.29127753e-01, 3.39101173e-01, 3.49074593e-01,\n",
       "        3.59048013e-01, 3.69021433e-01, 3.78994853e-01, 3.88968273e-01,\n",
       "        3.98941693e-01, 4.08915113e-01, 4.18888533e-01, 4.28861953e-01,\n",
       "        4.38835373e-01, 4.48808793e-01, 4.58782213e-01, 4.68755633e-01,\n",
       "        4.78729053e-01, 4.88702473e-01, 4.98675893e-01, 5.08649313e-01,\n",
       "        5.18622733e-01, 5.28596153e-01, 5.38569572e-01, 5.48542992e-01,\n",
       "        5.58516412e-01, 5.68489832e-01, 5.78463252e-01, 5.88436672e-01,\n",
       "        5.98410092e-01, 6.08383512e-01, 6.18356932e-01, 6.28330352e-01,\n",
       "        6.38303772e-01, 6.48277192e-01, 6.58250612e-01, 6.68224032e-01,\n",
       "        6.78197452e-01, 6.88170872e-01, 6.98144292e-01, 7.08117712e-01,\n",
       "        7.18091132e-01, 7.28064552e-01, 7.38037972e-01, 7.48011392e-01,\n",
       "        7.57984812e-01, 7.67958232e-01, 7.77931652e-01, 7.87905072e-01,\n",
       "        7.97878492e-01, 8.07851912e-01, 8.17825332e-01, 8.27798752e-01,\n",
       "        8.37772172e-01, 8.47745592e-01, 8.57719012e-01, 8.67692432e-01,\n",
       "        8.77665852e-01, 8.87639272e-01, 8.97612692e-01, 9.07586112e-01,\n",
       "        9.17559532e-01, 9.27532952e-01, 9.37506372e-01, 9.47479792e-01,\n",
       "        9.57453212e-01, 9.67426632e-01, 9.77400052e-01, 9.87373472e-01,\n",
       "        9.97346892e-01]),\n",
       " <BarContainer object of 100 artists>)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(list(y_values.values()),bins=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "file_path = 'data/Libra.csv'\n",
    "G = read_edgelist_from_csv(file_path,create_using='directed')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "ename": "AttributeError",
     "evalue": "'Graph' object has no attribute 'in_degree'",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mAttributeError\u001b[0m                            Traceback (most recent call last)",
      "Cell \u001b[1;32mIn[3], line 2\u001b[0m\n\u001b[0;32m      1\u001b[0m total_nodes \u001b[38;5;241m=\u001b[39m G\u001b[38;5;241m.\u001b[39mnumber_of_nodes()\n\u001b[1;32m----> 2\u001b[0m total_degrees \u001b[38;5;241m=\u001b[39m \u001b[43m[\u001b[49m\u001b[43mG\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43min_degree\u001b[49m\u001b[43m(\u001b[49m\u001b[43mn\u001b[49m\u001b[43m)\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m+\u001b[39;49m\u001b[43m \u001b[49m\u001b[43mG\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mout_degree\u001b[49m\u001b[43m(\u001b[49m\u001b[43mn\u001b[49m\u001b[43m)\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;28;43;01mfor\u001b[39;49;00m\u001b[43m \u001b[49m\u001b[43mn\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;129;43;01min\u001b[39;49;00m\u001b[43m \u001b[49m\u001b[43mG\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mnodes\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[43m]\u001b[49m\n\u001b[0;32m      3\u001b[0m degree_count \u001b[38;5;241m=\u001b[39m Counter(total_degrees)\n\u001b[0;32m      4\u001b[0m degree_proportions \u001b[38;5;241m=\u001b[39m {degree: count \u001b[38;5;241m/\u001b[39m total_nodes \u001b[38;5;28;01mfor\u001b[39;00m degree, count \u001b[38;5;129;01min\u001b[39;00m degree_count\u001b[38;5;241m.\u001b[39mitems()}\n",
      "Cell \u001b[1;32mIn[3], line 2\u001b[0m, in \u001b[0;36m<listcomp>\u001b[1;34m(.0)\u001b[0m\n\u001b[0;32m      1\u001b[0m total_nodes \u001b[38;5;241m=\u001b[39m G\u001b[38;5;241m.\u001b[39mnumber_of_nodes()\n\u001b[1;32m----> 2\u001b[0m total_degrees \u001b[38;5;241m=\u001b[39m [\u001b[43mG\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43min_degree\u001b[49m(n) \u001b[38;5;241m+\u001b[39m G\u001b[38;5;241m.\u001b[39mout_degree(n) \u001b[38;5;28;01mfor\u001b[39;00m n \u001b[38;5;129;01min\u001b[39;00m G\u001b[38;5;241m.\u001b[39mnodes()]\n\u001b[0;32m      3\u001b[0m degree_count \u001b[38;5;241m=\u001b[39m Counter(total_degrees)\n\u001b[0;32m      4\u001b[0m degree_proportions \u001b[38;5;241m=\u001b[39m {degree: count \u001b[38;5;241m/\u001b[39m total_nodes \u001b[38;5;28;01mfor\u001b[39;00m degree, count \u001b[38;5;129;01min\u001b[39;00m degree_count\u001b[38;5;241m.\u001b[39mitems()}\n",
      "\u001b[1;31mAttributeError\u001b[0m: 'Graph' object has no attribute 'in_degree'"
     ]
    }
   ],
   "source": [
    "\n",
    "total_nodes = G.number_of_nodes()\n",
    "total_degrees = [G.in_degree(n) + G.out_degree(n) for n in G.nodes()]\n",
    "degree_count = Counter(total_degrees)\n",
    "degree_proportions = {degree: count / total_nodes for degree, count in degree_count.items()}\n",
    "\n",
    "# Print the proportions for each total degree\n",
    "print(f\"Total Degree 1: {degree_proportions[1]}\")\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total Degree 1: 0.33013333333333333\n"
     ]
    }
   ],
   "source": [
    "# 1. Convert to a directed graph by randomly assigning directions to undirected edges\n",
    "G_directed = nx.DiGraph()\n",
    "for u, v in G.edges():\n",
    "    if random.random() < 0.5:\n",
    "        G_directed.add_edge(u, v)\n",
    "    else:\n",
    "        G_directed.add_edge(v, u)\n",
    "\n",
    "# Calculate the total degree for each node\n",
    "total_nodes = G_directed.number_of_nodes()\n",
    "total_degrees = [G_directed.in_degree(n) + G_directed.out_degree(n) for n in G_directed.nodes()]\n",
    "degree_count = Counter(total_degrees)\n",
    "degree_proportions = {degree: count / total_nodes for degree, count in degree_count.items()}\n",
    "\n",
    "# Print the proportions for each total degree\n",
    "print(f\"Total Degree 1: {degree_proportions[1]}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total Degree 2: 0.33666666666666667\n"
     ]
    }
   ],
   "source": [
    "print(f\"Total Degree 2: {degree_proportions[2]}\") "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total Degree 2: 0.13483333333333333\n"
     ]
    }
   ],
   "source": [
    "print(f\"Total Degree 2: {degree_proportions[3]}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "G_modified = G_directed.copy()\n",
    "# Function to randomly remove an edge from a node with total degree > 1\n",
    "def remove_random_edge(graph):\n",
    "    # Get all nodes with total degree greater than 1\n",
    "    eligible_nodes = [node for node in graph.nodes() if graph.degree(node) > 1]\n",
    "    \n",
    "    if not eligible_nodes:\n",
    "        return  # Stop if no eligible nodes are found\n",
    "    node = random.choice(eligible_nodes)\n",
    "    \n",
    "    # Get all edges of this node (both in and out)\n",
    "    edges = list(graph.edges(node)) + list(graph.in_edges(node))\n",
    "    \n",
    "    if edges:\n",
    "        # Randomly select an edge to remove\n",
    "        edge_to_remove = random.choice(edges)\n",
    "        graph.remove_edge(*edge_to_remove)\n",
    "\n",
    "# Repeat the process 1000 times\n",
    "for _ in range(20000):\n",
    "    remove_random_edge(G_modified)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total Degree 1: 0.6188333333333333\n"
     ]
    }
   ],
   "source": [
    "total_nodes = G_modified.number_of_nodes()\n",
    "total_degrees = [G_modified.in_degree(n) + G_modified.out_degree(n) for n in G.nodes()]\n",
    "degree_count = Counter(total_degrees)\n",
    "degree_proportions = {degree: count / total_nodes for degree, count in degree_count.items()}\n",
    "\n",
    "# Print the proportions for each total degree\n",
    "print(f\"Total Degree 1: {degree_proportions[1]}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total Degree 2: 0.10586666666666666\n"
     ]
    }
   ],
   "source": [
    "print(f\"Total Degree 2: {degree_proportions[2]}\") "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total Degree 3: 0.0471\n"
     ]
    }
   ],
   "source": [
    "print(f\"Total Degree 3: {degree_proportions[3]}\") "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "degree = plot_degree_distribution(G_modified,directed=True)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "network",
   "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": "3.11.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}