facebook-dataset-MCMC.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import random"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "random.seed(0) \n",
    "np.random.seed(0)\n",
    "V = 4039\n",
    "T = 1000*V\n",
    "InitNode = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "nodes = list(range(V)) # Get a list of only the node names\n",
    "edges = np.loadtxt('facebook_combined.txt',dtype=int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "G = nx.Graph()\n",
    "G.add_nodes_from(nodes)\n",
    "G.add_edges_from(edges)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Name: \n",
      "Type: Graph\n",
      "Number of nodes: 4039\n",
      "Number of edges: 88234\n",
      "Average degree:  43.6910\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(nx.info(G))\n",
    "z = list(G.degree([n for n in G]))\n",
    "y = [y[1] for y in z]\n",
    "b = np.linspace(0,max(y))\n",
    "plt.hist(y,bins=b)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "options = {\n",
    "    \"node_color\": \"black\",\n",
    "    \"node_size\": 50,\n",
    "    \"linewidths\": 0,\n",
    "    \"width\": 0.1,\n",
    "}\n",
    "plt.figure(1,figsize=(10,10)) \n",
    "pos = nx.spring_layout(G)  # Seed for reproducible layout\n",
    "nx.draw(G, pos, **options)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "nx.set_edge_attributes(G, 0,'visits')\n",
    "H = G.to_directed()\n",
    "nx.set_node_attributes(G, 0,'visits')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "pi = np.array([x[1] for x in list(G.degree())])\n",
    "pi = pi/np.sum(pi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "t = 0\n",
    "v = InitNode\n",
    "freq = np.empty(V)\n",
    "err = []\n",
    "ferr = []\n",
    "\n",
    "while t < T:\n",
    "    v_next = random.choice(list(H.adj[v]))\n",
    "    H[v][v_next]['visits'] += 1\n",
    "    G.nodes[v_next]['visits'] += 1\n",
    "    t += 1\n",
    "    v = v_next\n",
    "    if t%(V//10) == 0:\n",
    "        for i in range(V):\n",
    "            freq[i] = G.nodes[i]['visits']\n",
    "        pi_hat = freq/np.sum(freq)\n",
    "        err.append(np.mean(abs(pi-pi_hat)))\n",
    "        ferr.append(np.mean(abs(pi-pi_hat)/pi))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Avg visits per directed edge expected : 22.89\n"
     ]
    }
   ],
   "source": [
    "print('Avg visits per directed edge expected : {:.2f}'.format(0.5 * T/len(list(G.edges()))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(2,figsize=(8,5)) \n",
    "plt.plot(np.array(list(range(len(err))))*(V//10),np.log(err),color='black')\n",
    "plt.plot(np.array(list(range(len(err))))*(V//10),np.log(ferr),color='red')\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Done Node Approx Current Betweenness Centrality\n",
      "Done Node VoteRank\n"
     ]
    }
   ],
   "source": [
    "n_conduct = nx.algorithms.centrality.approximate_current_flow_betweenness_centrality(G)\n",
    "print(\"Done Node Approx Current Betweenness Centrality\")\n",
    "\n",
    "vr = nx.algorithms.centrality.voterank(G)\n",
    "print(\"Done Node VoteRank\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_conduct = [n_conduct[x] for x in range(V)] "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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2646, 2899, 65, 3795, 671, 192, 741, 175, 3597, 3266, 2414, 104, 3720, 2184, 3083, 3227, 2433, 2601, 720, 521, 407, 1244, 2369, 2218, 751, 284, 579, 2561, 2106, 1993, 2600, 981, 1093, 450, 1489, 1308, 3457, 3524, 2095, 359, 2350, 2063, 813, 3761, 3732, 345, 3519, 1022, 2168, 3634, 459, 1103, 3349, 281, 1034, 3510, 1279, 489, 3641, 3771, 2607, 3358, 340, 2110, 3603, 2348, 168, 3494, 3143, 105, 3632, 2249, 3063, 3893, 2573, 3937, 2130, 778, 730, 3661, 2575, 528, 1968, 551, 372, 3059, 693, 706, 831, 2497, 2206, 220, 262, 2088, 424, 1141, 2381, 38, 3159, 965, 2295, 2798, 1000, 108, 1315, 3565, 3681, 396, 486, 2507, 2521, 178, 3413, 2331, 574, 167, 1015, 235, 519, 72, 1925, 478, 1443, 3058, 2886, 3478, 197, 540, 3972, 2409, 1918, 3765, 2614, 3671, 2037, 2519, 84, 2413, 1521, 2103, 361, 1550, 32, 2427, 654, 449, 2152, 2714, 2093, 2244, 716, 589, 2123, 2365, 755, 1938, 2121, 2340, 2489, 3622, 2464, 1394, 1946, 480, 1381, 2271, 1913, 2895, 2590, 2392, 505, 3865, 1971, 677, 2238, 318, 2615, 381, 265, 2329, 509, 490, 1764, 2251, 2188, 2064, 2147, 2030, 2586, 232, 1884, 2172, 1981, 2090, 2059, 3688, 592, 1664, 2082, 2323, 1728, 1869, 176, 1984, 779, 533, 79, 2482, 2564, 2073, 3352, 2287, 2022, 680, 2086, 1115, 2275, 85, 3368, 29, 1943, 2058, 238, 1956, 1438, 2253, 663, 2391, 2075, 826, 96, 2043, 1601, 1089, 1798, 3631, 2692, 1962, 2220, 3614, 1821, 2578, 1917, 2801, 251, 541, 1044, 2056, 2118, 768, 2201, 3801, 2404, 2286, 2593, 2408, 943, 2536, 2363, 587, 2154, 1333, 3602, 1980, 2430, 2257, 3816, 2645, 2460, 433, 2370, 2139, 289, 380, 3887, 3619, 748, 2202, 2112, 2506, 2276, 2124, 1005, 2140, 2553, 758, 2648, 134, 1930, 3112, 2390, 655, 3, 2104, 3973, 121, 2446, 2299, 3281, 2092, 2108, 2193, 2046, 2326, 2374, 762, 222, 2356, 2020, 818, 2500, 3128, 2290, 1057, 1592, 2200, 3928, 2619, 2190, 2308, 354, 2546, 3370, 1935, 2485, 2638, 2492, 2534, 2514, 2216, 3235, 2900, 2415, 2469, 2816, 1929, 1927, 2074, 1997, 3367, 485, 2115, 2625, 2386, 1931, 1986, 2109, 2655, 2237, 844, 3686, 2352, 793, 2504, 1953, 3878, 129, 2549, 2306, 2572, 2122, 2360, 208, 715, 2579, 1762, 2654, 66, 1979, 2620, 2630, 1887, 2359, 2159, 2418, 229, 1134, 986, 2554, 1933, 2373, 956, 1510, 2477, 783, 1097, 295, 979, 2562, 2559, 3323, 3099, 2061, 1963, 2005, 2423, 1760, 3587, 410, 3318, 759, 1880, 733, 3920, 3094, 227, 2432, 1354, 347, 403, 3890, 1118, 491, 617, 3724, 809, 106, 742, 3655, 666, 2499, 2008, 761, 2520, 305, 1873, 3270, 3467, 974, 901, 821, 1439, 1936, 2045, 1874, 276, 1378, 502, 2652, 1137, 647, 3325, 2055, 1711, 2006, 679, 3843, 3425, 126, 3837, 474, 3121, 836, 1414, 1039, 799, 885, 75, 710, 1999, 2312, 2631, 2314, 1914, 3091, 2671, 2824, 2721, 1157, 2165, 2657, 1468, 736, 212, 2083, 10, 2627, 1989, 2479, 237, 51, 83, 2303, 1568, 1840, 2212, 3175, 2192, 1063, 812, 2119, 1069, 2556, 349, 937, 1133, 2383, 1239, 690, 2297, 2980, 833, 3630, 1558, 3696, 972, 2539, 2346, 3812, 2834, 723, 2261, 59, 3217, 2576, 2563, 2558, 2248, 852, 717, 855, 4030, 2033, 2400, 2098, 437, 2467, 3766, 2585, 985, 2626, 16, 1016, 1403, 2393, 3668, 2658, 27, 152, 2484, 1607, 69, 1264, 2166, 958, 1797, 45, 2407, 165, 2639, 1957, 3897, 341, 850, 2089, 3942, 2633, 2066, 2175, 737, 2606, 290, 55, 2070, 123, 2011, 390, 682, 1928, 2401, 3882, 2077, 2402, 3429, 307, 3305, 1383, 3834, 2136, 1974, 356, 2403, 1958, 2207, 365, 2855, 2860, 286, 1988, 945, 3898, 2179, 4014, 2105, 274, 279, 338, 2067, 2307, 60, 2552, 3695, 3883, 3613, 3562, 3649, 3523, 3479, 3481, 3516, 3594, 786, 2213, 371, 636, 656, 3639, 3919, 1233, 3216, 2097, 3502, 3783, 2532, 1168, 1775, 1648, 2722, 2926, 3998, 3911, 3813, 3700, 3669, 3864, 2354, 3560, 3717, 3691, 3744, 1640, 1942, 2258, 1363, 2522, 2234, 1319, 2495, 2096, 221, 2503, 756, 344, 2311, 2274, 2808, 2044, 2000, 3338, 3427, 631, 1978, 1442, 3652, 268, 619, 771, 1759, 2524, 593, 872, 867, 874, 873, 887, 877, 568, 623, 2339, 2301, 298, 89, 319, 470, 2998, 216, 1651, 187, 612, 3476, 3537, 2535, 1430, 311, 2476, 2025, 3490, 1493, 2622, 190, 2388, 3581, 633, 597, 117, 1961, 2219, 139, 3955, 1949, 622, 3665, 191, 2651, 1252, 2452, 36, 2580, 740, 573, 532, 2305, 846, 794, 2975, 1802, 316, 3401, 3376, 3126, 3322, 3704, 498, 309, 135, 63, 3546, 1362, 1186, 124, 2358, 721, 283, 3995, 3959, 3531, 382, 851, 1194, 822, 685, 1395, 250, 2426, 288, 448, 164, 3336, 1474, 1950, 3536, 2015, 3946, 3781, 1776, 910, 1657, 77, 2021, 832, 2574, 2019, 635, 3125, 625, 2051, 2227, 657, 522, 207, 1176, 684, 429, 652, 673, 1890, 240, 3006, 1755, 808, 2591, 529, 2353, 746, 2435, 1690, 605, 712, 3582, 301, 2164, 3949, 270, 2177, 2584, 2016, 336, 790, 2050, 2517, 854, 1937, 466, 3774, 2182, 3624, 3571, 2217, 206, 664, 3282, 2012, 3682, 174, 112, 293, 138, 3757, 2450, 588, 2493, 2262, 2017, 1546, 3489, 3676, 1262, 839, 3465, 3579, 1892, 598, 562, 3975, 3708, 626, 816, 603, 704, 2076, 621, 3863, 406, 3408, 2230, 530, 3134, 1276, 611, 383, 2490, 3701, 3446, 789, 3905, 3787, 575, 672, 3993, 3994, 3982, 71, 1922, 294, 2255, 1065, 2158, 3985, 3814, 571, 2454, 3885, 707, 796, 2545, 899, 2014, 2013, 2568, 3675, 99, 3789, 2632, 228, 49, 3538, 806, 2252, 2170, 3441, 2505, 1977, 3727, 3616, 76, 411, 2382, 2541, 97, 253, 757, 234, 2613, 785, 660, 3996, 3638, 245, 153, 3745, 3585, 691, 2113, 3923, 859, 2486, 2466, 3200, 183, 70, 3647, 2670, 3141, 4037, 2487, 2281, 2703, 2972, 3997, 2922, 3848, 3749, 160, 714, 4009, 3423, 1854, 3053, 3679, 3653, 205, 52, 61, 1969, 3606, 3981, 1071, 155, 3251, 743, 732, 3751, 2263, 453, 4018, 3899, 2245, 2439, 2515, 2776, 2380, 767, 4003, 744, 3283, 2548, 750, 2959, 3314, 2861, 3988, 2100, 3382, 3008, 2982, 2650, 2879, 3311, 219, 2442, 2349, 143, 267, 2422, 2481, 3875, 2375, 2320, 791, 4034, 3580, 3910, 3965, 2528, 725, 2621, 689, 3218, 3354, 3122, 2431, 2513, 1992, 3725, 3743, 3868, 3912, 3739, 3874, 3473, 3892, 3917, 3567, 3595, 3657, 3819, 3541, 3857, 3871, 3445, 4000, 2441, 2799, 2699, 4017, 702, 3894, 841, 1924, 181, 275, 4, 4021, 2444, 802, 2094, 3854, 3879, 788, 147, 6, 3986, 182, 47, 4026, 648, 3439, 95, 1270, 177, 327, 278, 3806, 225, 3447, 157, 2167, 68, 467, 572, 499, 2767, 3932, 4019, 1586, 1046, 3844, 3716, 699, 296, 263, 102, 377, 3963, 86, 2527, 3811, 131, 3939, 3513, 3807, 46, 386, 3271, 3952, 321, 3922, 193, 379, 1002, 1105, 241, 255, 749, 775, 3699, 1027, 1627, 8, 259, 91, 4033, 3992, 154, 583, 615, 681, 578, 658, 627, 659, 675, 650, 662, 640, 599, 632, 670, 577, 3999, 35, 468, 443, 2857, 665, 628, 328, 273, 306, 195, 78, 218, 4005, 643, 600, 661, 3983, 582, 595, 1208, 576, 401, 2788, 4028, 264, 110, 201, 2595, 2483, 2930, 3181, 3180, 3131, 2732, 2902, 3372, 4036, 28, 3074, 3127, 3055, 2774, 3147, 2817, 4007, 4025, 4016, 3990, 4032, 179, 3037, 145, 90, 2792, 2691, 3987, 4001, 3268, 33, 233, 244, 581, 3407, 642, 4012, 4029, 42, 256, 282, 3746, 3846, 3984, 11, 12, 15, 18, 37, 43, 74, 114, 209, 210, 215, 287, 292, 335, 358, 447, 550, 585, 602, 607, 608, 613, 624, 638, 668, 674, 692, 801, 875, 883, 891, 892, 911, 918, 1096, 1119, 1145, 1206, 1386, 1466, 1560, 1581, 1834, 2079, 2195, 2269, 2457, 2470, 2569, 2596, 2842, 3031, 3071, 3183, 3230, 3451, 3453, 3570, 3650, 3709, 3729, 3748, 3798, 3820, 3853, 3856, 3935, 3974, 4008, 4010, 4015, 4022, 4024, 4035]\n"
     ]
    }
   ],
   "source": [
    "def argsort(seq):\n",
    "    return [x for x,y in sorted(enumerate(seq), key = lambda x: -x[1])]\n",
    "print(argsort(n_conduct))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "ename": "KeyError",
     "evalue": "567",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mKeyError\u001b[0m                                  Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-53-9b22e1805bf7>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mG\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m567\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;32m~/anaconda3/lib/python3.8/site-packages/networkx/classes/coreviews.py\u001b[0m in \u001b[0;36m__getitem__\u001b[0;34m(self, key)\u001b[0m\n\u001b[1;32m     49\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     50\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0m__getitem__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkey\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 51\u001b[0;31m         \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_atlas\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mkey\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     52\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     53\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mcopy\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mKeyError\u001b[0m: 567"
     ]
    }
   ],
   "source": [
    "G[0][567]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       " 1893,\n",
       " 2126,\n",
       " 3506,\n",
       " 3185,\n",
       " 3140,\n",
       " 1366,\n",
       " 1479,\n",
       " 1945,\n",
       " 2694,\n",
       " 122,\n",
       " 1124,\n",
       " 2037,\n",
       " 2116,\n",
       " 3611,\n",
       " 745,\n",
       " 3366,\n",
       " 3360,\n",
       " 1742,\n",
       " 1557,\n",
       " 3396,\n",
       " 3948,\n",
       " 2927,\n",
       " 3442,\n",
       " 3342,\n",
       " 1469,\n",
       " 561,\n",
       " 2001,\n",
       " 2292,\n",
       " 1227,\n",
       " 3593,\n",
       " 2916,\n",
       " 1574,\n",
       " 2683,\n",
       " 3152,\n",
       " 1059,\n",
       " 694,\n",
       " 239,\n",
       " 2607,\n",
       " 3495,\n",
       " 1661,\n",
       " 559,\n",
       " 1980,\n",
       " 315,\n",
       " 1947,\n",
       " 1687,\n",
       " 1173,\n",
       " 3084,\n",
       " 823,\n",
       " 3150,\n",
       " 1427,\n",
       " 592,\n",
       " 3077,\n",
       " 2943,\n",
       " 2748,\n",
       " 1899,\n",
       " 3906,\n",
       " 1159,\n",
       " 3087,\n",
       " 1794,\n",
       " 3851,\n",
       " 1006,\n",
       " 2904,\n",
       " 3162,\n",
       " 2072,\n",
       " 1831,\n",
       " 460,\n",
       " 3680,\n",
       " 3104,\n",
       " 2361,\n",
       " 1837,\n",
       " 830,\n",
       " 9,\n",
       " 2325,\n",
       " 389,\n",
       " 2676,\n",
       " 1919,\n",
       " 1175,\n",
       " 651,\n",
       " 3327,\n",
       " 3877,\n",
       " 3758,\n",
       " 1820,\n",
       " 2331,\n",
       " 203,\n",
       " 3017,\n",
       " 370,\n",
       " 1504,\n",
       " 2928,\n",
       " 781,\n",
       " 579,\n",
       " 1596,\n",
       " 1361,\n",
       " 3385,\n",
       " 1960,\n",
       " 2365,\n",
       " 2510,\n",
       " 3804,\n",
       " 1548,\n",
       " 3172,\n",
       " 3054,\n",
       " 3027,\n",
       " 3455,\n",
       " 1080,\n",
       " 200,\n",
       " 1256,\n",
       " 1221,\n",
       " 1360,\n",
       " 1320,\n",
       " 1329,\n",
       " 3351,\n",
       " 3677,\n",
       " 2620,\n",
       " 1261,\n",
       " 1959,\n",
       " 1733,\n",
       " 2150,\n",
       " 1876,\n",
       " 3829,\n",
       " 697,\n",
       " 1688,\n",
       " 1549,\n",
       " 3107,\n",
       " 3056,\n",
       " 304,\n",
       " 506,\n",
       " 2129,\n",
       " 3365,\n",
       " 531,\n",
       " 3930,\n",
       " 630,\n",
       " 2049,\n",
       " 2780,\n",
       " 3629,\n",
       " 2247,\n",
       " 2018,\n",
       " 1273,\n",
       " 1275,\n",
       " 3824,\n",
       " 3060,\n",
       " 2906,\n",
       " 525,\n",
       " 1067,\n",
       " 3252,\n",
       " 1222,\n",
       " 2610,\n",
       " 3924,\n",
       " 2729,\n",
       " 942,\n",
       " 1895,\n",
       " 3945,\n",
       " 1998,\n",
       " 930,\n",
       " 397,\n",
       " 1488,\n",
       " 1555,\n",
       " 3295,\n",
       " 2777,\n",
       " 2294,\n",
       " 2901,\n",
       " 566,\n",
       " 1725,\n",
       " 2339,\n",
       " 3672,\n",
       " 1636,\n",
       " 856,\n",
       " 1337,\n",
       " 1927,\n",
       " 1420,\n",
       " 3274,\n",
       " 724,\n",
       " 3705,\n",
       " 1041,\n",
       " 400,\n",
       " 3369,\n",
       " 1097,\n",
       " 2107,\n",
       " 3918,\n",
       " 3577,\n",
       " 3362,\n",
       " 3179,\n",
       " 3072,\n",
       " 504,\n",
       " 2925,\n",
       " 1231,\n",
       " 1845,\n",
       " 2211,\n",
       " 3790,\n",
       " 1525,\n",
       " 272,\n",
       " 3971,\n",
       " 1666,\n",
       " 3406,\n",
       " 3529,\n",
       " 1487,\n",
       " 431,\n",
       " 53,\n",
       " 2397,\n",
       " 2434,\n",
       " 703,\n",
       " 1066,\n",
       " 2284,\n",
       " 1184,\n",
       " 2706,\n",
       " 1645,\n",
       " 1611,\n",
       " 573,\n",
       " 2138,\n",
       " 172,\n",
       " 3412,\n",
       " 688,\n",
       " 3966,\n",
       " 2404,\n",
       " 1482,\n",
       " 3345,\n",
       " 2236,\n",
       " 1409,\n",
       " 1787,\n",
       " 438,\n",
       " 2865,\n",
       " 3599,\n",
       " 3348,\n",
       " 1502,\n",
       " 2645,\n",
       " 3456,\n",
       " 312,\n",
       " 1540,\n",
       " 3132,\n",
       " 419,\n",
       " 1136,\n",
       " 1702,\n",
       " 3558,\n",
       " 641,\n",
       " 2894,\n",
       " 1857,\n",
       " 3488,\n",
       " 1259,\n",
       " 654,\n",
       " 3137,\n",
       " 916,\n",
       " 199,\n",
       " 2412,\n",
       " 3617,\n",
       " 1304,\n",
       " 1923,\n",
       " 596,\n",
       " 1216,\n",
       " 2955,\n",
       " 583,\n",
       " 2867,\n",
       " 784,\n",
       " 3968,\n",
       " 2592,\n",
       " 2640,\n",
       " 3168,\n",
       " 1373,\n",
       " 3553,\n",
       " 2488,\n",
       " 3020,\n",
       " 1567,\n",
       " 1910,\n",
       " 213,\n",
       " 1570,\n",
       " 3240,\n",
       " 493,\n",
       " 188,\n",
       " 1569,\n",
       " 2755,\n",
       " 3640,\n",
       " 3011,\n",
       " 1966,\n",
       " 346,\n",
       " 1480,\n",
       " 2763,\n",
       " 827,\n",
       " 3145,\n",
       " 1970,\n",
       " 1369,\n",
       " 567,\n",
       " 2841,\n",
       " 1894,\n",
       " 1118,\n",
       " 1236,\n",
       " 3810,\n",
       " 1237,\n",
       " 355,\n",
       " 1298,\n",
       " 1911,\n",
       " 1029,\n",
       " 728,\n",
       " 3353,\n",
       " 2302,\n",
       " 3464,\n",
       " 2668,\n",
       " 1975,\n",
       " 2873,\n",
       " 3900,\n",
       " 98,\n",
       " 2006,\n",
       " 507,\n",
       " 1642,\n",
       " 1770,\n",
       " 3001,\n",
       " 41,\n",
       " 578,\n",
       " 3299,\n",
       " 2031,\n",
       " 1250,\n",
       " 1806,\n",
       " 695,\n",
       " 2478,\n",
       " 2909,\n",
       " 1495,\n",
       " 3501,\n",
       " 3568,\n",
       " 3025,\n",
       " 2538,\n",
       " 3628,\n",
       " 1807,\n",
       " 980,\n",
       " 1576,\n",
       " 2102,\n",
       " 3933,\n",
       " 3267,\n",
       " 374,\n",
       " 1868,\n",
       " 40,\n",
       " 2881,\n",
       " 2335,\n",
       " 2235,\n",
       " 1533,\n",
       " 3800,\n",
       " 2757,\n",
       " 990,\n",
       " 3825,\n",
       " 1882,\n",
       " 853,\n",
       " 455,\n",
       " 2156,\n",
       " 3794,\n",
       " 1307,\n",
       " 3722,\n",
       " 261,\n",
       " 600,\n",
       " 2657,\n",
       " 2317,\n",
       " 1988,\n",
       " 1305,\n",
       " 3738,\n",
       " 3182,\n",
       " 3119,\n",
       " 1064,\n",
       " 404,\n",
       " 170,\n",
       " 3344,\n",
       " 1283,\n",
       " 463,\n",
       " 2758,\n",
       " 1282,\n",
       " 1331,\n",
       " 3731,\n",
       " 3836,\n",
       " 2056,\n",
       " 1881,\n",
       " 2132,\n",
       " 3747,\n",
       " 924,\n",
       " 3231,\n",
       " 1798,\n",
       " 3411,\n",
       " 2558,\n",
       " 1761,\n",
       " 3586,\n",
       " 2690,\n",
       " 329,\n",
       " 1656,\n",
       " 3951,\n",
       " 3318,\n",
       " 3248,\n",
       " 2664,\n",
       " 544,\n",
       " 3525,\n",
       " 615,\n",
       " 1909,\n",
       " 2419,\n",
       " 2992,\n",
       " 908,\n",
       " 1113,\n",
       " 2202,\n",
       " 2728,\n",
       " 3331,\n",
       " 2232,\n",
       " 408,\n",
       " 339,\n",
       " 3921,\n",
       " 1545,\n",
       " 2173,\n",
       " 1456,\n",
       " 3460,\n",
       " 1100,\n",
       " 4030,\n",
       " 3690,\n",
       " 2371,\n",
       " 1692,\n",
       " 1189,\n",
       " 820,\n",
       " 555,\n",
       " 3902,\n",
       " 1048,\n",
       " 2300,\n",
       " 82,\n",
       " 1452,\n",
       " 3526,\n",
       " 80,\n",
       " 2866,\n",
       " 2734,\n",
       " 236,\n",
       " 3538,\n",
       " 995,\n",
       " 2438,\n",
       " 285,\n",
       " 680,\n",
       " 2781,\n",
       " 3764,\n",
       " 2999,\n",
       " 3184,\n",
       " 3177,\n",
       " 115,\n",
       " 662,\n",
       " 2226,\n",
       " 1935,\n",
       " 456,\n",
       " 2785,\n",
       " 1590,\n",
       " 2932,\n",
       " 3842,\n",
       " 1866,\n",
       " 1413,\n",
       " 913,\n",
       " 2223,\n",
       " 369,\n",
       " 1212,\n",
       " 1348,\n",
       " 1616,\n",
       " 2946,\n",
       " 1825,\n",
       " 2670,\n",
       " 171,\n",
       " 3734,\n",
       " 2024,\n",
       " 901,\n",
       " 967,\n",
       " 2994,\n",
       " 2869,\n",
       " 503,\n",
       " 2231,\n",
       " 770,\n",
       " 3468,\n",
       " 242,\n",
       " 2949,\n",
       " 619,\n",
       " 960,\n",
       " 2772,\n",
       " 3576,\n",
       " 3791,\n",
       " 1758,\n",
       " 787,\n",
       " 1565,\n",
       " 3178,\n",
       " 3207,\n",
       " 1523,\n",
       " 3662,\n",
       " 643,\n",
       " 3321,\n",
       " 142,\n",
       " 1347,\n",
       " 3298,\n",
       " 834,\n",
       " 3822,\n",
       " 3728,\n",
       " 2920,\n",
       " 4023,\n",
       " 2207,\n",
       " 2084,\n",
       " 3514,\n",
       " 1217,\n",
       " 23,\n",
       " 1626,\n",
       " 2978,\n",
       " 3196,\n",
       " 941,\n",
       " 547,\n",
       " 436,\n",
       " 1799,\n",
       " 1051,\n",
       " 3797,\n",
       " 3466,\n",
       " 2318,\n",
       " 3188,\n",
       " 897,\n",
       " 1529,\n",
       " 3725,\n",
       " 2806,\n",
       " 1655,\n",
       " 2228,\n",
       " 2836,\n",
       " 2250,\n",
       " 3325,\n",
       " 829,\n",
       " 2743,\n",
       " 2378,\n",
       " 1099,\n",
       " 3511,\n",
       " 2145,\n",
       " 280,\n",
       " 3275,\n",
       " 2501,\n",
       " 320,\n",
       " 678,\n",
       " 1634,\n",
       " 1624,\n",
       " 556,\n",
       " 3346,\n",
       " 3500,\n",
       " 2091,\n",
       " 903,\n",
       " 627,\n",
       " 1475,\n",
       " 948,\n",
       " 186,\n",
       " 3052,\n",
       " 1534,\n",
       " 1598,\n",
       " 3947,\n",
       " 2061,\n",
       " 3449,\n",
       " 249,\n",
       " 1349,\n",
       " 3711,\n",
       " 3111,\n",
       " 3774,\n",
       " 2650,\n",
       " 332,\n",
       " 2103,\n",
       " 3469,\n",
       " 815,\n",
       " 1343,\n",
       " 514,\n",
       " 3740,\n",
       " 1494,\n",
       " 3505,\n",
       " 2715,\n",
       " 2555,\n",
       " 326,\n",
       " 2849,\n",
       " 609,\n",
       " 2345,\n",
       " 3743,\n",
       " 1146,\n",
       " 2497,\n",
       " 118,\n",
       " 1010,\n",
       " 2425,\n",
       " 1515,\n",
       " 175,\n",
       " 842,\n",
       " 1453,\n",
       " 3114,\n",
       " 3034,\n",
       " 806,\n",
       " 3546,\n",
       " 396,\n",
       " 542,\n",
       " 1779,\n",
       " 3448,\n",
       " 739,\n",
       " 1507,\n",
       " 1114,\n",
       " 3898,\n",
       " 2603,\n",
       " 291,\n",
       " 2459,\n",
       " 457,\n",
       " 3528,\n",
       " 3010,\n",
       " 2813,\n",
       " 423,\n",
       " 658,\n",
       " 1809,\n",
       " 1333,\n",
       " 1715,\n",
       " 1327,\n",
       " 3674,\n",
       " 2937,\n",
       " 2741,\n",
       " 3782,\n",
       " 1165,\n",
       " 1861,\n",
       " 1177,\n",
       " 2004,\n",
       " 2092,\n",
       " 2540,\n",
       " 323,\n",
       " 2739,\n",
       " 92,\n",
       " 3759,\n",
       " 3195,\n",
       " 2665,\n",
       " 1467,\n",
       " 2629,\n",
       " 2703,\n",
       " 3833,\n",
       " 849,\n",
       " 1246,\n",
       " 1705,\n",
       " 2622,\n",
       " 1122,\n",
       " 515,\n",
       " 3277,\n",
       " 1020,\n",
       " 2810,\n",
       " 3089,\n",
       " 3187,\n",
       " 618,\n",
       " 1766,\n",
       " 2160,\n",
       " 839,\n",
       " 774,\n",
       " 1171,\n",
       " 1131,\n",
       " 3303,\n",
       " 3272,\n",
       " 3927,\n",
       " 432,\n",
       " 313,\n",
       " 617,\n",
       " 2958,\n",
       " 3776,\n",
       " 1426,\n",
       " 2085,\n",
       " 1858,\n",
       " 2564,\n",
       " 3950,\n",
       " 661,\n",
       " 1936,\n",
       " 1107,\n",
       " 3300,\n",
       " 3926,\n",
       " 2022,\n",
       " 3861,\n",
       " 1129,\n",
       " 3540,\n",
       " 1867,\n",
       " 3219,\n",
       " 1197,\n",
       " 3907,\n",
       " 343,\n",
       " 797,\n",
       " 3086,\n",
       " 3486,\n",
       " 169,\n",
       " 1511,\n",
       " 2222,\n",
       " 3293,\n",
       " 391,\n",
       " 3081,\n",
       " 3868,\n",
       " 1396,\n",
       " 2889,\n",
       " 2387,\n",
       " 963,\n",
       " 3779,\n",
       " 2203,\n",
       " 3226,\n",
       " 3287,\n",
       " 2962,\n",
       " 1332,\n",
       " 2349,\n",
       " 1496,\n",
       " 780,\n",
       " 3490,\n",
       " 833,\n",
       " 1359,\n",
       " 2448,\n",
       " 227,\n",
       " 1138,\n",
       " 3998,\n",
       " 516,\n",
       " 3956,\n",
       " 2648,\n",
       " 1425,\n",
       " 1075,\n",
       " 957,\n",
       " 1531,\n",
       " 3613,\n",
       " 653,\n",
       " 3049,\n",
       " 1585,\n",
       " 3799,\n",
       " 359,\n",
       " 3211,\n",
       " 402,\n",
       " 3605,\n",
       " 2406,\n",
       " 1667,\n",
       " 3117,\n",
       " 299,\n",
       " 2936,\n",
       " 3062,\n",
       " 659,\n",
       " 2983,\n",
       " 1803,\n",
       " 184,\n",
       " 1258,\n",
       " 1736,\n",
       " 3803,\n",
       " 2764,\n",
       " 3625,\n",
       " 3710,\n",
       " 492,\n",
       " 1009,\n",
       " 2411,\n",
       " 3394,\n",
       " 3571,\n",
       " 1686,\n",
       " ...]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "vr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "Gf = nx.Graph()\n",
    "Gf.add_nodes_from(nodes)\n",
    "Gf.add_edges_from(edges)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "nx.set_edge_attributes(Gf, 0,'visits')\n",
    "Hf = Gf.to_directed()\n",
    "nx.set_node_attributes(Gf, 0,'visits')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "## 107  & 1912\n",
    "## 3437 & 1684\n",
    "## 107 & 3437\n",
    "## 698 & 1864\n",
    "## 0 & 567\n",
    "elist = [(107,1912),(1912,107),(3437,1684),(1684,3437),(107,3437),(3437,107),(698,1864),(1864,698),(0,567),(567,0)]\n",
    "Hf.add_edges_from(elist,visits=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "t = 0\n",
    "v = InitNode\n",
    "freq_acc = np.zeros(V)\n",
    "err_acc = []\n",
    "ferr_acc = []\n",
    "\n",
    "while t < T:\n",
    "    v_next = random.choice(list(Hf.adj[v]))\n",
    "    Hf[v][v_next]['visits'] += 1\n",
    "    if (v,v_next) not in elist:\n",
    "        Gf.nodes[v_next]['visits'] += 1\n",
    "    t += 1\n",
    "    v = v_next\n",
    "    if t%(V//10) == 0:\n",
    "        for i in range(V):\n",
    "            freq_acc[i] = Gf.nodes[i]['visits']\n",
    "        pi_hat_acc = freq_acc/np.sum(freq_acc)\n",
    "        err_acc.append(np.mean(abs(pi-pi_hat_acc)))\n",
    "        ferr_acc.append(np.mean(abs(pi-pi_hat_acc)/pi))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4039000\n",
      "4038764\n"
     ]
    }
   ],
   "source": [
    "print(sum([G.nodes[i]['visits'] for i in range(V)]))\n",
    "print(sum([Gf.nodes[i]['visits'] for i in range(V)]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(3,figsize=(8,5)) \n",
    "plt.plot(np.array(list(range(len(err_acc))))*(V//10),np.log(err_acc),color='black')\n",
    "#plt.plot(np.array(list(range(len(err_acc))))*(V//10),np.log(ferr_acc),color='red')\n",
    "plt.plot(np.array(list(range(len(err_acc))))*(V//10),np.log(err),color='blue')\n",
    "#plt.plot(np.array(list(range(len(err_acc))))*(V//10),np.log(ferr),color='green')\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0.0004299069407726241,\n",
       " 0.0003936730133234205,\n",
       " 0.0003707907516818624,\n",
       " 0.00035852396973279333,\n",
       " 0.00034812827282825083,\n",
       " 0.0003410571058910731,\n",
       " 0.0002984391669157793,\n",
       " 0.00027975368749249196,\n",
       " 0.00024875963406217216,\n",
       " 0.00022925043153739982,\n",
       " 0.00021347020849742094,\n",
       " 0.00020385307789962484,\n",
       " 0.00019831934698353392,\n",
       " 0.00019504911162322635,\n",
       " 0.00018691026834154187,\n",
       " 0.00017523562660592945,\n",
       " 0.00017564029031217813,\n",
       " 0.00017183013289684057,\n",
       " 0.0001711175049816989,\n",
       " 0.00016986660141560513,\n",
       " 0.00016740194264572587,\n",
       " 0.00016193701526691598,\n",
       " 0.00015992129018726115,\n",
       " 0.0001571446400001599,\n",
       " 0.00015719405503683383,\n",
       " 0.00015271109882656229,\n",
       " 0.0001531670927801479,\n",
       " 0.000152239930191589,\n",
       " 0.0001427728645627607,\n",
       " 0.00013502773657667513,\n",
       " 0.0001312723908866612,\n",
       " 0.00012862565602852463,\n",
       " 0.00012901588399957074,\n",
       " 0.000128985700810315,\n",
       " 0.00013089132064347537,\n",
       " 0.00013147919321227676,\n",
       " 0.00012729664878135296,\n",
       " 0.00012393692415995207,\n",
       " 0.00012308410414782302,\n",
       " 0.00012300453726074836,\n",
       " 0.00012203409083793502,\n",
       " 0.00011552264978552138,\n",
       " 0.00010998780959128391,\n",
       " 0.00010520297001373177,\n",
       " 0.00010125579740190028,\n",
       " 9.795954785739975e-05,\n",
       " 9.736219772986878e-05,\n",
       " 9.685053159827127e-05,\n",
       " 9.480853267159839e-05,\n",
       " 9.577286690692926e-05,\n",
       " 9.92161163587626e-05,\n",
       " 0.00010109367987513924,\n",
       " 9.984529923398423e-05,\n",
       " 9.922053562536638e-05,\n",
       " 9.794075529581907e-05,\n",
       " 9.540309165958378e-05,\n",
       " 9.319128448042718e-05,\n",
       " 9.205906358434074e-05,\n",
       " 9.529644181715569e-05,\n",
       " 9.538048046713397e-05,\n",
       " 9.457444293153671e-05,\n",
       " 9.320022295554315e-05,\n",
       " 9.175889874049588e-05,\n",
       " 9.103321113916707e-05,\n",
       " 8.9911157380424e-05,\n",
       " 8.921091467062544e-05,\n",
       " 8.874973430635186e-05,\n",
       " 8.78023027265048e-05,\n",
       " 8.72778964554279e-05,\n",
       " 8.770824177645082e-05,\n",
       " 8.719847002497464e-05,\n",
       " 8.807434390445176e-05,\n",
       " 8.823780947577259e-05,\n",
       " 8.813642446523883e-05,\n",
       " 8.951187832069893e-05,\n",
       " 8.947652833075025e-05,\n",
       " 8.826380336660531e-05,\n",
       " 8.742629733916739e-05,\n",
       " 8.764729421095494e-05,\n",
       " 8.956915528567852e-05,\n",
       " 9.15120428454141e-05,\n",
       " 9.057896849608698e-05,\n",
       " 9.148517786767974e-05,\n",
       " 9.33417078528407e-05,\n",
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       " 3.2194571997889324e-05,\n",
       " 3.19659093078618e-05,\n",
       " 3.215913175047834e-05,\n",
       " ...]"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "err"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       " ...]"
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     },
     "execution_count": 50,
     "metadata": {},
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   "execution_count": null,
   "metadata": {},
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   "source": []
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