diff --git a/main.ipynb b/main.ipynb index 861c282..4cd8321 100644 --- a/main.ipynb +++ b/main.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 7, "id": "3580fb47", "metadata": {}, "outputs": [], @@ -68,7 +68,7 @@ "\n", "def mcl(M, max_loop = 10):\n", " expand_factor = 2\n", - " inflate = 2\n", + " inflate_factor = 2\n", " M = add_diag(M, 1)\n", " M = normalize(M)\n", " \n", @@ -83,7 +83,7 @@ "\n", "def networkx_mcl(G, max_loop = 50):\n", " A = nx.adjacency_matrix(G)\n", - " return mcl(np.array(A.todense()), expand_factor, inflate_factor, max_loop, mult_factor)\n", + " return mcl(np.array(A.todense()), max_loop)\n", "\n", "\n", "def calculate_and_draw(Graph): \n", @@ -101,7 +101,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 8, "id": "dying-impact", "metadata": {}, "outputs": [ @@ -124,7 +124,7 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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2RXdi2qxYzIIeO6UBF9sc01KL4aikE8g8YjqnHj2Tn46+mJUb3mPXng6fOQcC51tNwpdxl9eBzZg+0R/86YFt3HH///qFn3+pnttv6kvq6FhuvWcL321pJSHexWmZPXn+0XaHPha7kqp/+BiqtW4Gajy/DqCUigKGYo5yGRPfy+XzZFfpG/V066Y481RLw8hDCfLOTJ5Tg6ce/Po78zbywSubWbdiD+ln9eeqe82m/yuX1vPKA2upXbYbl0vxk/QELrt1FL0Htnl0yzTMx3zH1ObOfDO5pPAMTA912x89OrYb+GVt7sy37c0sooVN0QXOw1pXha+mYdq6AjYxbdZwzHYAXvXqMfCgVxR7mraT0LPD/fNzMD28Xlkuuq6k6iZP29gBHQazbu7HrJvb3pvlkvPirYa3PDGitW4FvvX8es9dl+rTvg31u93ces9WFrxo7WScpV81HZI2WCUAu7XWwdqKMoc2ilHvgbGcfd0wvvpgB8379UDv2dnCyRcN4oaTUnFFKZ67YzVP3rKSm59q8zSbScU1GcOnpCx2tDm+NnfmwuSSwnHAvcAvsfZU34pZEvv72tyZXfaI+nYMxP7xcn95fYJ0u1tYvnY+W+tXs6+lkZ7d+jBmyM8ZkNjh6UQZE9NmHb1gScFSG3I8wpeLv/52Phu2LsWtW4jvkUT/BK+nKFk+SsrXGcbHMOOuPp2G58VGwK8mY49GzAotSwru28plF8STPNzaXN1dc7begSkUcUqpemAHZsOc7/+504fX9uq2e/R+1tZ7HzPR/DCr/Wo32+qaf3j9qJMP3Nbg1MuSKLys3e8/hTnm3JYnhkDU5s6sBS5KLikcihkuupK2m/7XY45gf6I2d+a60GUYUQZhjqt31MS0WSMwX18dcms33WISODZlCt1jE9myq4YvVr9ExqHX0qNb745unYzZFCtQXvcC2d9hI87k0OFnsKNhHdvra3G5vD4jWI7vU9F1JVV/69mA/C5f7vPihgCP8dmCD5ufvPvBHtZtaOHRZ83+Opu3tnLxNRv53fV9+N0NPw7zz6eGnO1Kqv7IM6yRgFkLn7jfP/f//WDM6rrENq7rDaCU+lFxvuO1o44fcaj/HXMrPqlnyJgOO/rC6lyx2tyZ64GC5JLCOzCrlJKAXttfmH9s4xfVpwy5+8ZJnfg4HruEy/DCMVYuio6KZcyQU37484DEVHrE9mbXno3eiu4PZ8srpRTmASvB8yve6u+H9z8m+dARZ1r+lzLv56JPrxFs3PYlazd/ysiBHa6lsDw/5k8v3d2YwnKZH/ce7I+upOqXA4zxMZB68IstLZqWFn3ABF90tKL8H8PY1/K/7+f0SWu5L78/k37eZtFrxuz29P2wxnYCOO5EKdWdNgpyQr+Yn/obc21VA68/spbpc8d2dFliR3/pFE9hXeP5hZpyy3bMZJkUXO/CpehaWj54sKZ9u9nTtJVePTrcrJ6GvVsnKKXW8L8C2ozZd2SX51d7v9+0/+t94kceCdzvT65au2ls8vptv8NqPJ+LriupWrvrUn8N7MOsQ/bXH7FnxrOYNn4AtDfBd/D4c5QL+iRG0SuuzR9U/3AlVdvV7oTWei+m7emAj4XFNRnTAEv7Ge5v05pG7r9yOZf+cRQ/ObbD+akGX2M7ZBVwiFJKtTMMI/jhiW8gZmLbad19vcGtW/my9hWG9BtHXPeOa3aP2MTNmOGLeqBea+3XSTMT02bVYqHoNu1rYFv9agYkphLlimZr/Tds3P4VRyV7bU6otpqLX9vjuZKq97nrUq/AjLXchfkJZNVG4HpXUvUr/rx3G97F/Asf8LTb0QTf/r75pL2tdgF4JKDMrPP5iWXL+ib+PHU5v7h+GCec2/HTAuHxzemV1nqnUqoZ0yETDk9x4SoRaPT8EHfaLl8u1lrzVe2ruFQUY4dP8nq9yxW9RWttx7LglcByvLSAKmDdlk9ZvrYMrTU9YnszdthEBvb+ibf4lhfs+Hxczw83JlVrV1J1EaaH9jdw0IFNP/Yh8CtglI0FF8/hlsFYFvoZUBmEuG1pc3e11hZNc5Mbd6vG3Wp+39qi2V7XxL25yzjtsiR+fomlTh2/d29zwCr8eOrvYsJlaAHAcleM1ppla16nad9uxh2Sg0tZaku3petmwZICjYU6ERsTx7GpU/n5uN9z6tEzyTjsWob1H+/ttl34MFEd8EbQnhMfHnbXpT6C6YM7HvOkEof5SLABWORKqv460PfqwGOY1TBefxz54OZA9/f1wd8xHRIHtFS8Pncdrz38v8n7/7y+hXNuGIZSsHltE68+tJZXH/rf1+RjS3880L93T+uya8ZVRtIJsN9gerAj6QdFqIVT0f0IM3zldSZ4+dr5NOzdQlrKZKJcllf627lj3jzMGYSB7PPSluIFSwosb5Pg12nA4chdl/oTzLHcdhzjcpMrqXq2DXEsK67J+Dv2r8Dh2du/2fH+C5s+x6yLf11rHdZLaJVSf8K01t3pdC7hSil1PjBZa32e07kAnHLUTX/rFtPrko6uaWzawb+XFeFSUaj9jok/bMRZDO7b7nF3jcDQBUsK/J68PtjEtFn3Yu/+C3uBwxcsKbDcR95pjjxxJVWvcNelnoHZad+vGVWPAszy41B7BPuL7rYjTkgc9f4LmyZhdlea4zni/Umt9Vab38su3wAnOZ1EmAuLJ12lVAZwc3yPpJOPP7TjvaF6dOvN6eNv9/Ut/mZnwfW4AzgN8DpmYNFvfSm4EMCYbjhyJVV/ghne8HqGdxvqgamupOr8EA4r/GBKyuIPCGyRSFtueeiGFbu01i9qrU/ELNccC6xUSj2plBpn8/vZQcZ0vXOs6CqlopRS5ymlPsR8XF9Y31g3Alho81u5MZ/ObLVgSUEDkI35OgvUXQuWFDzu602dqugCuJKqV2LGli+inU16DrIeuB1IcSVVFwcxNSuuAD63KdZjwBP7v6C1/kxrfTmm0+MboMyzcdAFSqlw+dTz/ZiuaF/IV6MppXoopa7BTJjPxHwaTNVaP6K1bsBs2FRv41v+ZcGSgi9sjPeDBUsK6oATMD3+/tDAjAVLCm7z5+ZOM6bbHndd6uGYj+1HY8Z7YzGNzKsxQxFvupKqw2acs7gmIwn4FyZffz0DXO3tvDTPvsXnYg6QHIk5Z+0JrfWWAN47IJ6Vfw1AH611o1N5hDOlVClQqrX+Rwjeqz9mb4VpmCL1F+CDtvqoJ6bNysJsrmR5lqwdLwEX2n30+cE8u6PNwByCMNjL5d9bCNy6YEmB3xO9nb7oRqLimox4zFPqRT7e2ox5av/zlJTFPv2PVUr9FNP6dx5mk5mHtNb+DNMETCm1AjhPax3MjpeIpZRaBMzSWr8fxPcYjZkHuARTBGdrrb21hX5feF/Ct979/ZUAVy1YUtDs9UqbeI7wOQfTAZXJj+e6NmOOYH90wZKCgM/lk6IbxoprMo7DPGFcRMebDG0GngQem5KyOKBGcs+TzVWe963FjKu96u9KID9zmA/M1Vrbfe5dxMly5RyC2Rjo55ie+IR9uqmHi+jaKBX1b8yKTNuO6FFKpQP/B5yMGaJ6WGvd4TlbB/McSjmXdjZyasdWzLlqf/X01DpiYtqsnpi9SvpgHmK2AuvtzEmKbgQorskYgCm86ZjOjJ6Yhuz1mBV5r01JWRzIpkE/4hnjPRfz9Dsa8030hNY66KvblFIPAzVaa5+27exMslw5pwM3Yjah93ac9nI8/3/K3aU+fx0o08N1FmYHweGY8dqntdY+HdF1sIlps36KeXr8Fe2fsViJyb10wZKCLjGcJEVXeOXpcvgNZh/cVzFDD17PMPFHcknh4bs//OwuV7fYET2POWIJpg9yC/AJ8E5t7syQPXE7IcuV0wPzqcWfw0mrgHPK3aWW9gHwbMA0GbgJs1H8X4CX7O7lnpg2Kx7IwBT0RKAJ8wT56YIlBT86qKCzk6IrLFNK9cN81J0GrMMMPbwc6NBDcklhN8xxJ9OAEzu4dCNmrPtxz/aQnUqWKycBM7l7QgBhtgJnlLtLP23vAqVUX8wT6A2Y5e5/ARbJJkOhIUVX+Mwz9PALzNNvKqbr4XGttc+9o8klhZMwY4e+HHffgvkIfGtt7syQTbgEU5YrJwYz8/+jk639sBk4rtxdekDTvlJqFGa2/jLMJ5b7tdbhcvpEl9Hp+nRF8GmtW7TWL2utfwZMwrSbrVBKFSulLG1qDZBcUngDptD4UnDBzC7/H1CWXFLoz5lr4eg27Cm4YPY+Kc1y5UQDKKWOUUq9iBmi2QMcobX+tRRcZ8iTrrCF5yPrFZgm+Q2YoYeX2ht6SC4pvBbzhByoRcDE2tyZtk4khlKWK6cvZlLU571pO7JRr7l3GZ8cB4wCHsAs/7ZzAYPwgzzpCltorbdprf+C6XT4M3A1UKuUul0pNWj/a5NLCk/Bvr2KT7YxllOmYnPBBehJ/PXA48AYrfUcKbjhQZ50RdAopY7ETNZcCLwJFI0svmcJ5kj7DjeT9sNxtbkzQ7X/sW2yXDkuTNeB1+Nm9+lmvuZTtrKJWLoxhiNIUiO83XZ4ubtUFpmEEXnSFUGjtf5Sa30N5un3c+Af3xU9twz7Cy6Y4h6J0rBQcAGq+C8uXGRyNkcwgeV8xm6909ttHW65KEJPiq4IOs/Qw33AmL6XZu+wck/L5u1suv8Z1l5XwNrpf2JbyWvo1taObrkwuaTQ67lFYcjSoaStuoXvWMchHE60iqa36s8AhrCRb22JL0JHiq4ImZHF9/SP7t9ngpVrt5a8SlRCL4Y9+AeG3DGdvStWU7+wwz1GYjGN/pHG+0F+QAP1KFzEqf9taRBPIg3ejyizY1N/YaNw2c5PdA0ZWPxB37J5OwmnHY+KjSEqNoYeR6ayb73XNuBMwJYTPzxLY7t7fvXY71d3C7+3fN1oDh84SnkfbWmlheiDvl2jiaEFr+tSOtqzQzhAiq4IJavb55Ew8QQaPvqCbmMPwd3QSOMX1fQ+v+M21tad9Ucopa7EniIZi1mu2uj5tXe/3x/857b+boeV+5IYcTHmtJIORRFNCweuzm2hhWjvuyju8HaBCC0puiKUelm9sPtPRrH7vY9Ze20BuN3EnTieHmmHdXiPbmkdABzHgYVtF+aUBV+LZ1MolsVmuXIsbZ8ZRzwaN3t0PT09Qwz17CAOr2tDVgeYorCZFF0RSnusXKTdbjbd9wzxp0wg6bbrcDc1sfXJl9jxj7foc9Gkdu+L7te7Wmt9pW3ZhkYFpsj36OiiKBXNQD2UVXzNYTqNenawmQ0c6333xLfsSlTYQybSRChZOmLG3dBI69YdxJ92PCommqhecfQ6KY3Gz73uH+34YY2+KneX7sRskO3VWMbjppVFvMGXVHIo4+mlEju6ZSPwuh15CvvIk64Ipf9YuSgqPo7oAX2of/cjEiadhN7bzO4PPiNmeJK3Wz8MPEVHzMUsoe5QjIplHBm+xH283F3aqbfCjESyIk2EVHJJ4QLgdG/XNa/ZwLa/vcm+bzeCy0X3Q0fTd/LZRCW2ewpMK5BcmztznZ35hkqWK+ddfDtpwZsGIKXcXbrRxpjCBvKkK0JtLhaKbuzIISTdcrUvcV+L1ILrcS3mFIXeNsX7rRTc8CRjuiLUyoCAznFrx8NBiBkyntMezsV0UARkm970Rrm79KmAkxJBIcMLIuSSSwrPwWyibZdXanNnnm9jPMdkuXJOBF7Dz5VkDbr+vv+w4FfATVrrv9uaXBhLnzxbASMwZwh2B3YC6yrn5e1wMq+2SNEVjkguKbwNuMOGUJ8DJ9Xmzuw02xZmuXJGAvdjjjDydijl974Ebip3l5YrpY4AyoHrtdYvBynNsJA+eXYqZmjmMszm7Qf7GHMyyQuV8/IstSwGmxRd4YjkkkIF3An8MYAwnwFn1ubOtNSKFmmyXDnJmH2Jr6TtgrIP+CdmnPzD/Y9hV0r9FNOj+2utdVnwsw2t9Mmz04B7sH7axg7gr8CfKuflBXTKcaCk6ApHJZcUTgEexJwS64t5wLTa3JmOfgOFQpYrJwo4AhiK+e/UiDkH7fNyd2m7//5KqXTgDeBXWuvyUOQaCumTZ1+N+UET5cftK4BJlfPyHFupJ0VXOC65pLBP06q1t0clxF0fPaBvR5sJNADPA4/W5s5cGprsIptS6kTgFeACrfUip/MJVPrk2b8D7g0wzCbgpMp5eY4c/y5FV4QFpdRTuFzVI5/506fAqZjDKr9/qtsCfAq8XJs70+uu3eJASqlTgb8D52itLS1QCUfpk2dfivmha4eVwHGV8/K22hTPMim6wnFKqUSgFviJP8e4C++UUpOAYmCS1nqJ0/n4Kn3y7CSgGmh3dYwfnq2cl3e5jfEskT5dEQ4uBd6Rghs8Wut/YSblypRSRzmdjx+uw96CCzA5ffLsYTbH9EpWpAlHKaUUcA3wf07n0tlprV9VSnUD3lJKnaq1Xu50TlakT54di/mB0aHlb89l95Y1KJd5loztkchR58zs6JYoT9zb7cjTKim6wmnHAAnAQqcT6Qq01i96Cm+5UuoUrfVKp3Oy4FzA625HACOPPY+BKcf5Evuq9Mmz76yclxeyjYFkeEE47WrgCa212+lEugqtdQlmYco7SqmRTudjwdlBjJ2E+cEfMvKkKxyjlEoALiA4R7KLDmitH1dKdQfeVUplaq3XO51TB1KtXrhu6XzWLS2je8JAho2bRELSGCu3pWBx21E7SNEVTroEeFdrXed0Il2R1rrIU3gXKqVO1lqH68q+3lYuGj4+mx6Jg1CuaLbW/pfq95/miOw8usf3tyW+XWR4QTjpauBxp5PoyrTWf8acXPGOUsprdXKIpaGnXv1HEhXTHVdUNANGH0v8gGR2rLc0VxjSoS0pusIRSqk0oB9mYxbhrDuBN4G3lVJ9nE6mDdv8uktZ3SuI7X7F95MUXeEUmUALE55Tj/8ALAL+5RlrDydfebugpbmRHRuqcLfuQ7tb2bJ6CfWbviFxyFhb4ttJxnRFyCml4oELgcOdzkUYWmutlMrDbCRTppQ6Q2vd4HReHqV46dPV7lbWL32Llbu+QylF98SBpJwylR4JbW3OdoBqzLaYISPLgEXIKaWuAs7UWp/ndC7iQEopF/AUZu+Ls7XWjQ6nRPrk2S5gOT50MfhgRuW8vAeCELddMrwgnCATaGHKM9xzJWbryH96FlI4qnJenht4NAihGzH7UYSUFF0RUkqp8cBA4G2ncxFt01q3ArlAE/CCUqqj7TZDYtm/HljS3LirxeawD1TOywvpJBpI0RWhdxXwpOcbW4QprfU+4GIgBpinlPJnw/CAKaWilVK3Nmxd+9Kmqg/+BDTbFPoD7DkuymdSdEXIKKV6ARcBTzudi/BOa92MWTHYD3jaM94bMkqpMUAFcAowfsNX7+RjdqQLdJ+Ez4FzK+flBXzysj9kIk2EjFLqCuAXWutznM5FWKeUigP+hZnMula3UTTSJ89OxBTo4zHDRz2B3cAG4D3g9cp5eU0W309hxpXvxvQQP7x/a2H65Nk/x5wN509P8QLgwsp5ebv8uNcWUnRFyCilKoE7OuNBiZ2dp83vbczpujd+X3jTJ88+CpiGOY03roMQm4Engccq5+Wt6eB9BnmuGwpcprX+uq3r0ifPHgTcAkzF2vl6S4HZwPOeiTnHSNEVIaGUOhpzSGKyjOdGJqVUb8wWnOVHn39bfmzP3kWYMXpf7MOMpd59cPFTSp2DObH3aaDAM7zRofTJs+Mwe3hMxuwW1nO/v14PvOOJWVk5Ly8sip0UXRESSqlHgO+01gVO5yL8p5TqFx3bc9Fhk26M7x7fb0QAof4GTK2cl7fP8xQ9B/gZkKu1/tDfoOmTZ3cHugP1lfPywvKHu6xIE0HnGRO8BBjndC4iMBMuu7/B3dqy2xUVHehqwkuBZuWKehIoAd4FjtZa1wcS1DM55sgEmVXSvSBC4ULgQ631WqcTEQF70BUVnW5TrKlJh2bOB/K01lcFWnAjhQwviKBTSv0HuFtr/YbTuQj/pU+efSTwhZ0xtdYNSqmhlfPydtoZN5zJk64IKs/Js8MxLUcisk2zO6Bn6CnX7rjhTIquCLargKe01nYv4RQh5OnDnWz1+r27NvPJ337Pqg+et3L5tPTJsy1vfhvppOiKoFFK9cRMmDzldC4iYBfQcR/uAWo/eZm4fsOtXj4WsGucOOxJ0RXBlAN8pLX+1ulERMAsn2u+tfa/RMf0ICEpxZf4x/ueUmSSoiuCSbZw7DwGWrmotXkv6z5/ixFpv/A1vtfdxjsL6dMVfsuumD4UOAEYDPQCGoA6YPH8kx9KAJIBWfLbOfT0fgms+/wtBoxJJzaut6/xLQ9dRDopusIn2RXTo4AzgOs9/2xzAuTEZy75dkN59Ydjr8kIZXoieHZ7u6Bh23p21VVz+Jl5/sTvEj26IEVX+CC7YvoZwMPAaG/XJhzSf0TCNf1HABOyK6b/tiyz6LWgJyiCaYO3C+o3raJp93Y+f+UuAFpbmtDaTWPZJo7I9lqIvcbvLKToCkuyK6bfBNznx60jgVezK6bfDtxVllkkq3Ei0/t46dMdkHIcfZOP/uHPdV+/T1PDdpIn/NJK/EWBJBdJpOgKr7Irpv8OuDfAMHdgvt5mBZ6RcMDrmO0Z253wioqOJSo69oc/u6K74XJFE9O9l7fYiyvn5S2zJcsIIN0LokPZFdPPI/CC+73bsyum/8qmWCKEPBuQP+HLPcPGTWT0iZb+d8/1K6kIJUVXtCu7YnpP7D+F9aHsiulWNp0W4ecx7Duj7HsbMadAdBlSdEVHLgYG2RyzDz4sJxXho3Je3rfYf5jjDVaP8eksZJcx0absiukK+BQYv//rtS9/zrq3qtj9zRYGn5rKuFuyfvi7LUvWsuyB92nctJvehw5i3C2n0SMpoa3wy4HDZVIt8nj2SCjBHM8TqD9Wzsu724Y4EUWedEV7xnNQwQXo3j+OMZOPYdikww54vXlHI5/dNp/UXx9H1htXkTh2IP8teKu92IcCJ9qesQg6z5E3vwaeCTDUH4F7As8o8kjRFe05ta0XkzLHkHTSaGISux/wel3FKnol92Xwz1KI6hZNytR0dq3cwu4129qLf5rN+YoQqZyXtw+4Avgtvi9q2AicXzkv7+5wObMs1KToivYM8+Xi3bXbSBjd/4c/R/eIoefQROpr2y26PsUX4aVyXp6unJdXhNkr+TeYIaN2NWxbv3Pzqo+LgFGV8/JeCUWO4Ur6dEV72hyMbU9L4z5iex/49BsT143WPfvau0U6GDoBz4kPD6dPnv0IMAGzW9gAzF4K9ZiVZouWzZ99NDD1m8UvdKlJs7ZI0RXt8elwv+geMbQ0HFhg9zU0E9Uzpr1bGv3MS4Qhz1BBpefXj6jnbvoGeFApNUprvTqkyYUZGV4Q7dnsy8W9kvtSv2rLD39uadzHng07iU/u294tW9r7C9H5aK33As9jxoK7NCm6oj2ftPWiu8VNa1ML2q3RrZrWphbcLW4GZY6mfvVWNi5aSWtTCyuLPyZhdD96jWy36H4cvNRFmHoC+LVSqkt/wpY+XdGm7Irp3YC1HLTWvvqZSlY+e2C9HDN1AqmXp7Pl029Z9uAiGuvq6X1YEkfNPI2eg9scGt4JDC3LLGoIVv4iPCmlPgT+rLXusrvOSdEV7cqumH43cEsQQj9Ylll0YxDiijCnlJoKXKC1PsvpXJwiwwuiI48B7iDE/WsQYorIUApkKKW6bMugFF3RrrLMojXAgzaHfbwss6jK5pgiQmitG4AXMKvauiQpusKbmcC7NsVaDNxoUywRuZ4ArlBKRTmdiBOk6IoOlWUWNQPnAf8OMNTHwC/KMoukP7eL01r/F9OSmOXt2s5Iiq7wqiyzaBdwOvCUnyGeB35Wllm01b6sRIR7ArjK6SScIN0LwifZFdMn7Fi+6ZGElP7jXdFRHf3Q3ofZnPqRssyiD0OUnogQSqkEYA0wVmu9yel8QkmKrvCJUkoBK/qlDb8xffa5qcBJQBLQC3NM93fAB8BzZZlFXeqbSfhGKfUUUK21tus4qIggRVf4RCl1KjAHGKfli0cEQCl1HDAPSO1KX0sypit8dS3w1670TSKCphKzsdIpDucRUvKkKyxTSg0GvgZGaq13OZ2PiHxKqd8AGVrrS5zOJVSk6ArLlFK3AsO11tc4nYvoHJRSfYDVwBitdZfYeU6GF4Qlnkb2q5ElvMJGWuvtwBt0oROipegKq84ENnga24Ww0xPAVZ7OmE5Piq6w6jrgUaeTEJ3SvzG1KMPpREJBiq7wSik1CnP+1T+czkV0Pp5OmCfpIivUZCJNeKWUugfoprXOczoX0TkppQYANUCy1nqHw+kElTzpig4ppWIx2/A95nQuovPSWm8G3gYudTqXYJOiK7w5H/hKa73C6UREp9clJtSk6ApvrkPaxERoLAQSgTSnEwkmKbqiXUqpw4BU4FWHUxFdgNbajdk+tFNPqMlEmmiXUqoI2KW1vtXpXETXoJQaAizDrHzc7XQ+wSBPuqJNSqk44FfA407nIroOrfUGYBFwsdO5BEu00wmIsHUx8KHW+lunExFdzhPA7WPz5ywEzgbGAr0BDezAbLr0elX+jLVOJRgIGV4QbVJKfQLM0lrPdzoX0XWMzZ8T5W5pmdS4ZlVpz0NSu3XQyeDG7NkwF3inKn+GO3RZBkaKbheVXTG9F3AUMADoDuwE1gLL55/80HigFLPzU6tzWYquZGz+nMOAEnzvXvgIyK3Kn1Fjf1b2k6LbhWRXTFeY43WmYfpvY9q4bOPa+V/XrXnliwU7V3x3S0gTFF3W2Pw5JwOvYVrG/LEVOLsqf8Z/7MsqOKTodhHZFdPPAP4CHGHleq11q1LqReB3ZZlF64OanOjSxubPORZ4H+gZYKh64KSq/BmfB5xUEEnR7eQ8T7e3AQV+hvgOyC7LLPrUvqyEMMbmz+mPaREbaFPIdcARVfkzdtoUz3bSMtb5/Rn/Cy6Yb4b3syump9uUjxD7y8e+ggswDAjrYTF50u3EsiumTwMesSncZmBCWWZRrU3xRBc3Nn9OArAe6GVz6G3AsKr8GY02x7WF9Ol2UtkV00cA99sYcgDwMHCWjTFF13YZFgvurq/+y9ZFC9i3cwfRveJJOucSeo48pL3L+wI5mE6IsCNFt/OahmkFs1N2dsX0Q8syi5bbHFd0TVdYuahh1Qo2v/MmQy6YTPehI2ipt3QQ9ZWEadGV4YVOKLtienfMhEK//V+vfflz1r1Vxe5vtjD41FTG3ZIFgHtfK0vvXMDOFd/RWFdP+gPn0e+nw9oL/1BZZtH0oP4LiE5vbP6cOEy3gddtHNc8VUTiTyfQe/xxvrzFPiCuKn/GPj9TDBqZSOucLuCgggvQvX8cYyYfw7BJh/3ohj5HDmHcH0+nW1+vXTtTsiumx9mTpujCBmCh4Gq3m70b1tK6p4Fviv7EqtkFbJr/Eu59zd5ujcEsHQ47UnQ7p0ltvZiUOYakk0YTk3jgqIMrJopROUfT96ghqCiv3wcJwPH2pCm6MEs/uFsb6sHdSv3XnzPi8t8w8tqb2Fu3nq0V71i53e4JOltI0e2cRkV4fNH5NVi5SEWbRZN9JpxEdHwC0T170fe4k2lYaWlaISy3hpSi2zn5u5TSqt5Bji86v82YXcM6FNWjJ9EJvQ8ciLB2mk8zsN2/1IJLim7nFOzJA68DakJ0pCp/RgOwxMq1iUcfy46PP6CloZ7Wxj1s/2gRvVJ+PC9xkP9U5c9oCTjRIJCWsc5pW4THF13DU8Ax3i7ql3k6rXsaWP3QPajoGOIPH0ffzNO83fakLRkGgRTdzmkp8LODX3S3uNGtbrRbo1s1rU0tqCgXrmgXrc2t4GkfdLe4aW1qwRUbRTvbmS4NZvKiy3ges0w9vqOLVFQUg7IvYFD2BVbjbgH+GWBuQSN9up1QdsX0Y4GPD369+plKVj574Mtjpk4g9fJ03rvoWRrr6g/4u1NemELPwQkHh1kGHFmWWSRfOCJgY/PnPAjY3fd9d1X+jD/aHNM2UnQ7qeyK6R8DxwYh9PVlmUVzgxBXdEFj8+f0Bb4CBtsUcg1wVFX+DEvL1pwgE2mdVzAK427guSDEFV1UVf6MbZj9PCy1kHmxE8gO54ILUnQ7s79hDvCzU2FZZlFYf0GLyFOVP+MzYCKBTdB+B2RV5c9YZk9WwSNFt5Mqyyxqxuy0tMOukMC9NsUS4gBV+TM+xKx09Oe4nQrguKr8GZ/Ym1VwSNHtxMoyi77GHGEd6NPpIuDissyisOx7FJ1DVf6MauAE4DTgZaDdQ1G12+0GXgROBk6pyp+xOiRJ2kAm0rqA7IrpR2AO/Wt3A9IOlABXl2UWNdmblRAdG5s/ZxiQDYwF+mBWsG3f9eVncVve+1dy87YtEx1N0E9SdLuI7IrpPYFrgeuAMV4u18B84IGyzCJLO4sIESpKqYFADdBfax12Wzd6I0W3i8mumO7CfHzLxbSU9Qd6YMZ+1wILgSfKMosi5uOa6HqUUkuBaVrrxU7n4ispukKIiKOU+gtQr7W+w+lcfCUTaUKISPQO5hNbxJEnXSFExFFKxQGbgCStdVjum9seedIVQkQcrXUD8AmQ6XQuvpKiK4SIVBE5xCBFVwgRqSKy6MqYrhAiIimlojHH/hyqta5zOh+r5ElXCBGRtNYtwHvAqU7n4gspukKISBZxQwxSdIUQkewd4DTVzrlS4UiKrhAiktVg9gpJdToRq6ToCiEiljadABE1xCBFVwgR6SKq6ErLmBAioimlBgFVwABPR0NYi3Y6ASGECITWepNSam10Qu/jxubP2Qz0BhSwHaityp8RVhvwy5OuECJijc2fo4BTG9d/O7f74KGjlCvq4AfJJsyG/HOBd6vyZ7hDnuRBpOgKISKOp9heBtyK9c6FGuBPQElV/gzHCp8UXSFERBmbP6cb8AxwiZ8hXgSmVuXP2GtfVtZJ0RVCRIyx+XNigTeA0wMMtRDIdmK8V1rGhBARwTOk8CSBF1ww+zU87YkZUlJ0hRCR4nxgso3xLgVybIxniQwvCCHCnueJ9FNgvM2hlwLjQzmxJn26QohIcCxeCm713TMP+LNu2UfvY05g0Jnnd3Tb0UA68FGA+VkmRVcIEQmmebsg9Q+FP/ze3dzEyvtmEX/4OKuxQ1Z0ZUxXCBHWPEMLZ/lyT/3XXxAd14seIw6xcvlZY/PnhKwWStEVQoS7PkA/X27Y9fknJIw7Bovb7PYB+vqTmD+k6Aohwl1vXy7et2Mbe9asImHcsb7c1senjAIgRVcIEe582i9h1xdL6DFiFLF9fHo4DtmeDFJ0hRDhbpsvF+/8/FMSfXvK9fk9AiFFVwgR1qryZ+wC1lq5tnHtalrqdxJ/mKWuhe9tAHb4kZpfpOgKISLBP61ctHPpJ8QfeiSubt19iV0qiyOEEOJAfwVmeLso6ewL/Yn9qD83+UuedIUQYa8qf0Y1UB6E0Aur8mesCELcdknRFUJEioIgxLwjCDE7JEVXCBERqvJnfAjMsjHknVX5MypsjGeJFF0hRCS5E3PeWaAew94CbpkUXSFExPB0GdwA3Ab403GgMcX2OqfOSZP9dIUQIoTkSVcIIUJIiq4QQoSQFF0hhAghKbpCCBFCUnSFECKEpOgKIUQI/T/7LhoPXx5MvAAAAABJRU5ErkJggg==\n", 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" ] @@ -140,7 +140,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 9, "id": "wooden-harbor", "metadata": {}, "outputs": [ @@ -158,7 +158,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -174,7 +174,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 10, "id": "perceived-principal", "metadata": {}, "outputs": [ @@ -198,7 +198,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -214,7 +214,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 17, "id": "excellent-bulletin", "metadata": {}, "outputs": [ @@ -224,16 +224,17 @@ "text": [ " number of nodes: 10\n", "\n", - "0 : [2, 5]\n", - "1 : [3, 6]\n", - "2 : [3, 7]\n", - "3 : [0, 1, 8]\n", - "4 : [4, 9]\n" + "0 : [0, 1]\n", + "1 : [0, 2]\n", + "2 : [0, 6]\n", + "3 : [5, 7]\n", + "4 : [3, 4, 8]\n", + "5 : [5, 9]\n" ] }, { "data": { - "image/png": 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Bx+qBS6sLqp4KpChjYkRkAjAV2DPZLbuxJZELgB+r6n98LM+0IyL9vjOh7zUP3T3sJwF0/1Qkt77Ia+NQzumW1JVKSV3ptbj53EQCFyAfmFVSV2qrHkzQ/oU7mObYFPrYBxgAPONHQearRKSfiFwJLHpkVtPwNWvb6gJ4zS2JNA5l6AK/A65O4fkIMK2krvQyn+ox5mt8OgjnAuCu2BJJ4xMR6SsiV+DuXtwPOFJVzxjQP+t7wEYfX/UY7pB777WFbXqhpK70fPz7iqvAidUFVbbDxwRCRLKBhUCxqiY0ihKR3riLJ/dT1Q+CqK+7EZG+uMOypgDPAr9R1Tfat4k25p+K+1d0qrtdXwMOjeTWJ3R/XqhGuiV1pUNwc7h+EeCOkrrSuNv/jElGbOXCH0juIJyTgPkWuKmLjWyn4Ea2BcDRqjp5y8AFiOTW/x13HGMq1y+9DBQlGrgQstDFHRoxwOc+RwCTfO7TmPaqgMOTOAPa1uamKBa25XwZtkWqevrWwra9SG79dOAI4J0EX6nAn4Ajkr0dODTTCyV1pRHcbcAd3jv0Ts1bLHrsPVYtWsWYY/I45JfjvXT/QnVBVaEfdRqzNSLyG2B7VfV0DrSIjMKtHR2hqhsCLS7Noo35e+DWHY/CXWXeDCwH5gFPRnLrU55TjR37ejHuXxjPA9eq6utJ1JoFHI9bSjahg6YrcD9c/xTJrW9IvOIvhSl0i3Bfgzv0wdOLkYiw9KWPaWtu9Rq6AHtUF1R1+NPPmGSJyFDgXWA3Vf3UQ/urgGGq6umM17CLNub3wp0FfAnuuqFt2Rxed0Ry699P9D2xsL0IF7azSTJstybamD8Wtx17J2AQbvphJfAq8C8/flhAuDZHHOWl0U5HjAZgxdvLWb+sNdH+LXRNIFR1mYg8CPyQOCtvYhdcng9MTkdtQYs25h+Lu8p8pIfmQ3CrPa6INubfBkzxEmZbhO0LwARVfS35qr8uklu/CHd0Z6DCFLqJrscNW//GVAAvDj3v7Kp+++5zOu4iyzzcqKkFN8pbsMM5Z73+2V8fbCIafSVzpfoj2ph/CW6daqLfhwR3guA+0cb8EyO59Su32siF7YW4oA4kbNMtTKHr9we0LQ0MuH/TzY3549T+699+d32fXXdZCGRtpckQIL/f/vuenvPtb62O9O79i7zKimkNZeWr01upP6KN+d/DnY2SinHAk9HG/CMiufVNm39TRPrgRrZX4m6ROVZV/5viu0IhTKsX/FywvDVd6mOFCY+8yopIXmXFdcArOd/cdZREIlsL3K+I9O49CPgN8E5eZcWhQdfot2hjfiHuLkM/HEDs7AIR6SMil+NWIxwKTFTVSV0lcCFcobu8k/dvuqG8yoosoBr4Bckttt8ReCqvsuJkP+sKUuwq82lsfTSfrMmX/2DwLbiwHQ8cp6qnquoCH98RCmEKXU+7eaKtUdqaW9E2RduUtuZWoq2edlAGsefadGN5lRUC/BE4O8WuegLTO9GI91BgL787PXli30nA8V01bDcLU+g+BDTFa/TaXQv46/h7eOOe12h4chF/HX8Pr921IN5jS3GHThvjp8n4d51UT2BGXmXFYJ/6C1JC/8/vNWwiZ/RCzrm041vlxx+cs2PbJ7t8llJlnUBo1ukClNSV3oH7Uum3X1UXVF0bQL+mm8qrrIjgjhEd63PX1zSUlf/a5z59E23M3w74lAQ+wk+Y/DEbN0YZNSKbe2+Ne5/n1ZHc+utSqTHswjTSBXcIud9agb8E0K/p3orwP3ABvp9XWZEdQL9+OYgEAvfBh9cyaGCEIw/1dC8kuPncLi1MS8aoLqh6raSutBoo8bHbqXaVjwmAp51ky+65n43vvUe0eRNZA/oz6Kgj6H/wgR09Mgz4DjDTjyID4Pnq+TVr2/j1jSt4qmY4Vfd7Phemy19CG6rQjbkU2B3YP9WOPqlb2vLsz/4zp3qt55s0jIkrr7JiIHCCl7aDio4k+6zTkR492PTpMhpvuZ2eI4bTa2SHe3XOIo2hG7u9ohfuGvHNv3K2+O++QN+qm3Y85rwzvC2p/+X1K7ngzAGMGJbQwN3PG5ZDKXShW11Q1VRSV3ocMAt3qn6y/vPKLXW/27Ru030ico2q+rWm0Jg98Dg11/MbWwwMBVqWL48Xul/7cy8iWWwjCDv4fa9tc4A23Ifszb/Wb/HfTUDTsuWtca/FBVjwRjP/fn49r9SO8tK8PU9XpXdmoQtdgOqCqs9K6krH4469K06iiz8BZSveXbFJRAqBJ0QkD/ipndBvfDAkkcbL/zaTdXXz0JYWeo4YTs63vtlh++jGjaNE5G2+GpC92EYQsu2wXO6hTRPQpKqeDjKJNuafQMencQHw7Jz1LP6whdH7uzNt1jVFaYvC20VLmNdxECd1XGJnEqrVC1sTC98fAqfQ8Q+JZuABYFp1QdVX9rSLyBDgYdx17SVd7Sg9k155lRWnATWJPKPRKM3vf8CGhYsYdPQRSNa29xVoNNq8+MdX7stXg3Fjspdf+inamL8D0Eickf769VHWrPtyfFNx+yoWf9jKbb/fgR2273Csd20kt/5XvhQbUqEc6bZXXVD1HPBcSV3pMNwi9EOAobif/mtxQfo8cF91QdWKrfWhqitEpAi4C3hKRE5SVduhZpKV8FXpEonQe+wY1s17hTWz5zDwsG3vg5BIZKWqvpVShQGJ5NZ/Fm3MfwQ4uaN2OTkRcnK+zOV+fSP07iXxAleBu30oM9RCH7qbxVYg3JDs86q6UUS+C1wHvCgix6nqe74VaLqThM+B3UyjUVqXb3Vs0N7iZPtPk1uJE7pb+tUUTzMyTyRzxm5nE7Z1uoFS1aiq/hwX3s+LyCGZrsl0Sotwl1F2qG3tWta9Op9oczMajbL+7XdpenU+vfN3iffok75UGZz/kPg1N15MC6DP0An9nG5QRGQCcC/wI1Wdnul6TOeSV1lRDkztqE3bunUsu/MeNi1dikaVHtsNZsD4QgaMO6jDx4BRDWXloV5bHm3ML8KtMEr1Rt3NHgVOiuTWd/lA6rahCyAie+HurZ8G3BCGDxWmc8irrBiCuz7d0xKqBMxoKCtPZsVO2kUb83+Muwk5Va/jrjJPeK68M+pW0wtbip3ReTBuMfrtItJp5rhNZjWUla8gmJt8/QixtIjk1t8E/DTFbuYDx3SXwIVuHroAqvoR7qi60cCjItLld8QY31wVbW72cxrgDw1l5S/62F/gIrn11+PW0iezGuheYHwkt77j48e6mG4fugCqugY4EfgQ94FteIZLMp3A+5dNmbR06s09tbV1lQ/dzcRdTdPpRHLrZ+DugruE+Je/NuFunNgrklt/biS3vsvvQNtSt57T3VJsD/qVuPMfTujsF+CZYMT+nFwDfBeYOOaPU6O4FQfJnjp2J3BRQ1l5i08lZkzsVolxuFPYRuLuJmzGXco5D3g4klvv+fSbrshCdytEZDLuhtNzVHVWpusx4SEiPXHXjX8L94N5GUBeZcV2wG9xV6v38tjdh8CvgLsbysrtL2I3YaG7DbEzG2YAV6mqncdrEJEBuGmADcCZqvq1m07yKiu2xwXvxcCYbXQ1C3d29BMNZeWezjwwXYeFbgdEJB94ApgOXG2H5XRfsXn+J4AXgLJ4B8TE7k/Lx811DgJagJXAf2MrH0w3ZaEbh4jsAPwDtzXzfFVtzmxFJt1E5NvA48DtwPW2ntukwlYvxKGqnwFHAdlAbezEMtNNiMgRuG2vP1PV31vgmlRZ6HoQOwpyMvASMEdEgrgby4RM7ICk6cBkVb0/0/WYrsF2YHkUm8+9UkQWA7NF5BRVfSnDZZkAxJaE/RS4CDhSVeOtPTXGM5vTTYKIHI879/MiVQ3rBYImCbGt4Lfg1poep6ofZ7gk08XYSDcJqvp47JSyR0RkJ+Amm+vr/ESkL/Agbp3tobGdisb4yka6KRCRkbhlRM8Cl8dbRlRSV7ojcCTunIdBwCbcTp35wAvVBVW2ZjNDRGRH3PGCbwHfV9VOvzvMhJOFbopEZCDuvqxm3IL5r+wlL6krFWA8bl/6qWz7XxdLcDud/lJdUPVpcBWbLcXWY/8TuA/4tf2rxQTJQtcHIpKNO8Rjb9zW0E8ASupK9wL+AuyfQHctwB+Bq6oLqmxNcMBEZBzwd+AXqlqV6XpM12eh65PYF++fA98Hjj937gWjgb/hrtFOxrPAydUFVat9KdB8jYicCvwJOFdV/5npekz3YOt0faLOb4FfDB83YrZG9R8kH7gAhwFPltSVptKH2QYRuQy3SmGCBa5JJ1u94LNz517wcrQt2lMikuVDdwfiro2f7ENfBhCRCO5us2OBQ1R1cWYrMt2NjXT9d3MkK+Ln6PT0krrSCT72122JSG/ckrD9sMA1GWKh66OSutJdgYkBdF0WQJ/diohsB9QCiptS8OO2B2MSZqHrr4u8NGr+vJmnr3yK+w+7h5knTadh1qJ4j0wsqSvNS7287klExgBzcGdnnKmqGzNckunGLHR9UlJX2hM4z0vbuTfOIZKdRfE/z6TwmsOYe/0cVjd0OPASoNSHMrsdEdkfdwbuNFW9ws5ENplmoeufvXC7zDrUsqGFJU9/wD4X7kt2TjY77p3LyENHseifC+M9eoQfRXYnInIcbtPDpao6LdP1GAMWun7ydIPwmiVrkCxhwKiBX/ze4F224/OG1fEeHZZ8ad2PiHwfd+Hjd1T1oUzXY8xmtmTMP/29NGpd30J2355f+b3sfj1pWR93q//AeA3MF5tUfgOcgTu05r0Ml2TMV1jo+meDl0Y9crJpadr0ld9radpEdk52vEe/dgmi+arYTb1/BnYDxm2+qdeYMLHpBf94+gs+YNQAtE1Zs+TzL35v1XsrGZg3KN6jnyVfWtcXO3jocdy8+hEWuCasLHT9Mx93WE2HsvtkM+rwnVjwf6/SsqGFZf/9lA+fW8LYiTvHe9RuqdiG2E29zwH1wKmquj7DJRmzTRa6PqkuqFoLeLpF4sArx9HW3EbNsQ/w3NXPcOD/jGNQ3uAOn3nmZ/8ZJCJ7+VFrVyIiewAvAn8FfqiqbRkuyZgO2Zyuv27DfcDpUK+BvTjixqM9d9ra3PrmkqcXL8TdVLEKqAb+2t3/CS0iR+K29V6mqg9kuh5jvLCRrr9mA6/73WmPXj3+oFG9GhgD/AR3bm+9iDwiIqeKSC+/3xl2InI28ABQbIFrOhMLXR9VF1QpcDluf79f5gP3gLuRWFX/o6olwEjc4dtlwEcicouI7B9bMtVlifMz4DrcTb3PZromYxJhh5gHoKSu9CdAhQ9dfQIcVF1QtaSjRrGzBc4BSnBL16qB+zbfYNFVxG7qnYY78vJ4VV2a4ZKMSZiNdINxE/DLFPv4CCiKF7gAqvq+ql4L7AxcjFun+paIPCEik2NHGnZqsZt6H8JNsYy3wDWdlY10A1RSV3o2bmSW6G6y54EzqwuqPk723bGQOgU3+t0Xd3nm3cDcznbxYuym3sdw8+UX2k29pjOz0A1YSV3p9rgTwi7CXb2+LYpb3H878GR1QZVvp2HFrorfPP0AbvrhXlX90K93bEtRpHgocDKwJ7AdkAWsBhYCj9dGa97q6HkR2RV3aE01cG1n+4FhzJYsdNOkpK40C5gQ+zUat3NqE7ASeBWYXl1QtTjIGmIf2Q7Che/pwCu40e9Dfm4oKIoUCzAOd+18MdDRHudncUvtHq6N1nxlf7SIHIJb+/xzVb3Tr/qMySQL3W5KRPoA38GdAXwQLtyqgdmpjCaLIsXDcPe6HZPgowuBktpozZxYfZNwo/5zVHVWsvUYEzYWugYRGQacjRsB98ItUbsn0TvEiiLF3wKexC1nS0YzcM5TOmM4MAU4UVXnJ9mXMaFkoWu+EJt+2A83+j0D9+GqGpihqus6erYoUrwT7nyI3FRqUFV9nZc+WsbHh6rqB6n0ZUwYWeiarYrtcjsBN/odD/wDN//77JZX3hRFinsC84A9/Hi3qq4Xkb1rozV2Fq7pcmydrtkqVW1W1Zmq+h1gV2ABcDPQICLXikj7Y9EuxqfABRCRHOAGv/ozJkwsdE1cqvqpqt6kqnvhln/1B+aIyOyIRL6vqj8K4LXfiU1ZGNOl2CljJiGqugBYICJXAhOHMuJKERnb0TNRbeMd5rOSZbSwiT70ZWe+zfbyjY4eiwA/AH7hW/HGhICNdE1SVLVFVR/ZQw6Mu8FCUXrRh/04jMM5ibHszuvMZYPGvYHogtiaX2O6DAtdk6rCeA2ypAdjZXf6SF9EhB1kGH3oyxpWxXs0F+hwFG1MZ2Oha5IWG4XumOhzzbqR9aylHwO8NE+4f2PCzELXpKIHHW/x/ZqoRnmTOr7BTvQVT6HbL6nKjAkpC12TilY8XMa5maryJnUIEXZlH6+Pdbgpw5jOxkLXJK02WqO4g9bjUlXeYh6baGZPDiYinv/oNSZdoDEhZKFrUjXbS6N3mE8Ta9mLQ8iSLK99LwUakq7MmBCydbomVX8BzuqowQZt4mMaiBDheR794ga53diPb8ioDvuOjaaN6TIsdE2qngHewV0RtFV9pC9Hc1qi/bYBf06+LGPCyaYXTEpiI9FbAuj6odpozUcB9GtMRlnoGj/8GXf7hV/WAlf62J8xoWGha1JWG61pwd1C4cfItBWYVButed+HvowJHQtd44vaaM3HwBHAohS6WQ+cUhutqfWnKmPCx0LX+KY2WrMQOBh4OInH3wDG10ZrHvO1KGNCxm6OMIEoihTvizvc/LtAn200U9ydarcB/6yN1rSlqTxjMsZC1wSqKFI8GDi+Sdces5bVE3Nl5GPAatw0xD9rozWpTEcY0+lY6Jq0EJFjgZ+oaqJXsxvTpdicrkmXwcDKTBdhTKZZ6Jp02Q4LXWMsdE3aWOgag4WuSR8LXWOw0DXpsx3EvxTNmK7OQteki31IMwYLXZM+Nr1gDBa6Jn0sdI3BQtekj4WuMVjomjQQEcHN6dqHNNPtWeiadMgB2lR1Y6YLMSbTLHRNOtjUgjExFromHSx0jYmx0DXpYPO5xsRY6Jp0sJGuMTEWuiYdLHSNibHQNelgoWtMjIWuSQcLXWNiLHRNOtiHNGNiLHRNOthI15gYC12TDha6xsRY6Jp0sNA1JsZC16SDHWBuTIyFrkkHu6rHmBhR1UzXYLowEckGNgDZan/YjLGRrgncYGCVBa4xjoWuCZp9RDOmHQtdEzT7iGZMOxa6Jmj2Ec2Ydix0TdBsesGYdix0TdAsdI1px0LXBM3mdI1px0LXBM3mdI1px0LXBM2mF4xpx0LXBM1C15h2LHRN0Cx0jWnHQtcEzT6kGdOOha4Jmn1IM6YdO2XMBEZEIsAmoI+qtmS6HmPCwEa6Jkj9gfUWuMZ8yULXBMnmc43ZgoWuCZKtXDBmCxa6Jkj2Ec2YLVjomiDZSNeYLVjomiBZ6BqzBQtdEyT7kGbMFix0TZBspGvMFix0TZDsQ5oxW7DQNUGyka4xW+iR6QJM11IUKc4BdgIGDWboqBz69imKFPeojda0Zro2Y8LAzl4wKSuKFPcATgAuBo7k6z/Mm4C/A7cBc2ujNfaHznRbFromabGwvRSYAozw+Nh84Fe10ZpHAyvMmBCz0DVJKYoUDwRmAkcl2cXNQHlttCbqW1HGdAIWuiZhscB9Gtgnxa7uA0oseE13YqsXTEJiUwozST1wAc4GfutDP8Z0Gha6JlE/Ivkpha35aVGkeJyP/RkTaha6xrOiSHE2cEUAXV8ZQJ/GhJLN6RrPiiLFpwE18drN02dYw0oEAaAXfRgnx3b0SBQYUxutWeJLocaEmG2OMIm4xGvDXdmH4TLGa/MI8APgqmSKMqYzsekF40lRpHgAcFiArzgxwL6NCQ0b6Rqv8kjgh/RCXmehvk4O/RnL7mwnQ+M9sktK1RnTSdhI13g1yGvDXdiDQ5jIoRzPcMbwX+awXtfFe6xPUaS4V0oVGtMJWOgarzxvYBgoQ+gh2UQki2EymkEMYTmNXh61r7qmy7PQNV6leERj3DxdVxut2ZTaO4wJPwtd49VCIG4otugmVmgjbdpGVKN8oktYxXKGkBvv0Td8qdKYkLMPacaT2mjNxqJI8aPApI7aKcoi3qSJtQhCDv3Zi3H0lf7xXhF3/a8xXYGFrknEbcQJ3Z7Si4LEdwlvBO5OsiZjOhWbXjCJeBp4N4B+H6iN1ti1PqZbsNA1nsVufPi1z91uAn7vc5/GhJaFrknUdKDKx/4urY3W1PvYnzGhZqFrEhIb7V4MPOxDd1fVRmv+4kM/xnQaFromYbXRmhagGLg1yS5agB/URmvsAHPT7djRjsYYk0Y20jXGmDSy0DXGmDSy0DXGmDSy0DXGmDSy0DXGmDSy0DXGmDT6f6M8DdGDDhS4AAAAAElFTkSuQmCC\n", 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\n", 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" ] @@ -249,7 +250,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 15, "id": "acting-flight", "metadata": {}, "outputs": [ @@ -259,15 +260,16 @@ "text": [ " number of nodes: 10\n", "\n", - "Stop at iteration 14\n", - "0 : [0, 3, 4, 7]\n", - "1 : [2, 5, 6]\n", - "2 : [1, 8, 9]\n" + "Stop at iteration 19\n", + "0 : [1, 2, 6]\n", + "1 : [3]\n", + "2 : [4, 5, 8, 9]\n", + "3 : [0, 7]\n" ] }, { "data": { - "image/png": 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CXq+Wk9qcSPqfwCfdTGwS8BW87abbWou8Hm9UfEu2jwkZe5EWYiIyFFgCDKull2nRluaVeNswe7XkFzezaclSQGkYO5YRJx7HDnvu4ecRh7U2Nj1XbJ6l5GZi/fGuXI/gnbu7DlgKvJbP2a2m+thIN8RUda2ILAD2pTRXv5Rddm1ur/e39Bhx0on0i4xD6utZ9/IrLP3lrxn/zStoGN3rra3gLdCvatnC6vuyQxMetnoh/Gpxva6vj/wDdtsVZ8AApL6eIYd+jAETd6N9ztzA4htTClZ0w+8laqjotjY2KYWekiWAv+mymt/fb6qXFd3wq7mRrqrmXALX3d5B+1tv43Z2ot3drJv9MhvmtTJwn5zLll284wONqQib0w2/V4FJItJPVTdVOplCZc8x+ARw2tCjjjx41Gmn9N7B7WbVY3+hc9lyxBEaxo5l3AVfomHsmFyPery1sWltIEkbUwAruiGnqutEpBXvfIFXKp1PPkRkEHAscBpwAt4liQ93Llt+FN69Xtu9Lbdu8GDGf/3yQh57cyGdjAmKTS/UhtBMMWS32n5RRB7BW+52Cd5Nsvur6jRV/Wn7nLdepTSHSc8H/lKCuMb4ZkW3NnzwMi3a0tyQXXZVNURkfPYg75l4txp8Fu+WgN1UNa6qN6vq4q26XQ90BJzKj1obm/rUTRum+tjmiJCLtjQf3LlixdUizvH1I0coMADoAt4HnsfbIvyn1samsm6eEJEYcGr2Swx4DK/QPqGqvu4xi7Y0n4O3+yoI9wLnZFdHGFMxVnRDKDuSPRO4HDjUR5dFeOe93tja2LSuFDll7/+azOZCOwp4OPvlaVUt6L6yaEtzE95trcV4HDiltbHJdnKZirOiGzLRluZhwAPApwvovgA4ubWxKde9Vb6ISB3eebM9hbaTzYX2+aDONYi2NJ+Ld9FhIadw3Ql8pdouqTR9lxXdEIm2NI8BngT2LyJMG3Bia2PTM4V0FpH+eJc/noZ3MM1iNhfaN7REf6GiLc17At/BG+H7Kb5PAz9tbWyyF2emqljRDYloS/NA4K94l/wVazVweGtj0xw/jbM3KJyAN5o9DnidbKFV1bJe9x1taR6Fd/D3mXgHwvQcAal4qxMeA27x+2szptys6IZEtKX5RuBrAYZ8A5iyvY/dIjIGbyR7Kt7Zs8/ivQh7VFWXBphHwbJz24Pw1puvbW1ssjMVTNWzohsC0ZbmCN4ts0FvZjm7tbHp3p7viMgENs/PTgaewCu0RV9NY4zx2I60cPgyPv+s1r38CqtnpOhatYq6IUMZc/YZDNg9us22qnqpiLzK5kK7G/Ao0AzMVNWg18ka0+dZ0a1y0ZbmeuBiP2075qZZ+ehjjD3vC/SfsAvda9t6bS8ih/fbZee/blq46AG8iyCfqaXD0I2pRrYjrfpNA3b203DVXx5nxLFxBuy2K+I41A8fRv3w3s8D36npa3eoaqOqPmUF15jSs5Fu9TvATyN1XTYuXMTASfux8Ef/iXZ2MfCA/Rh58kk4/bZ/x6OI+IpvjAmGjXSr30g/jbrb2qC7m/Wv/ZMdGy9j/DevZNOi91j9xMxcXXPeRWaMCY4V3epX56eRNHij2aHTD6d+2FDqBg9i2Cem0zHnrVxd7dOOMWVkRbf6+VqqVTdwIHXDh+HdWZMlvg4bW11IUsaYwljRrX7/8ttwyNSPsXbW3+lua6O7vZ01T89i4H775uo2r7j0jDH5sI+W1e9vwHq8nVe9Gn5snO5161n04+uQ+gYGTT6QYZ/+VK5ujwWRpDHGH9uRFgLRluZb8blWN0/vAHvawd7GlI9NL4TDLSWKe6sVXGPKy4puCGTPv50RcNiVwB0BxzTG5GBFNzwuAZYHGO+i1samFQHGM8b4YEU3JFobm+YDn8E7hLxYV7Y2Nv0hgDjGmDzZi7SQGTJt6ndHfub479UNGeJr08RWuvGurvlV0HkZY/yxkW6IiMjkdf94oXHFI386Gm8+Np+LFp8GplnBNaaybKQbEiIyCpgNXKWqDwBEW5pH411dczGw+za6rcG7wtyurzGmSljRDYHsrbt/Bl5X1a9v/fPZa2t2AcYDw4B2vJduaVsSZkx1saIbAiJyLd5V53E789aYcLNtwFVORE4BzgUOsYJrTPjZSLeKichewDPASar6fKXzMcYUz1YvVCkRGYx3E+/VVnCNqR020q1CIiLA/cBa4EK1PyRjaobN6VanK4GJwJFWcI2pLTbSrTIicjRwHzBVVd+tdD7GmGDZnG4VEZFdgHuBc6zgGlObrOhWCRHpDzwI3KiqOa/wNcaEk00vVAkRuQ0YBSRsHteY2mUv0qqAiFwATAcOtYJrTG2zkW6FicgheOcqTFfVuZXOxxhTWjanW0EiMgb4A/AVK7jG9A020q0QEanHu/fsRVX9j0rnY4wpj8DndONOogEYAQzEu1pmdcpN2vGCH3UtoMDVlU7EGFM+gYx0405iMHAW3oHah/DhYt6Bd2jLL4E/ptxkZ9EPDDkR+RzQjHdy2PuVzscYUz5FFd24kxiNN1L7EjDUR5clwM1Ac8pNdhT84BATkX2AWcDxqjq70vkYY8qr4KIbdxLTgD8CYwroPhc4MeUmWwt6eEiJyFDgBeCnqnpnpfMxxpRfQUU37iTiwKPAgCKevQz4RMpNvlVEjNDInhz2ILBcVb9S6XyMMZWRd9GNO4kDgb8DgwN4/rvAx1NuMhNArKomIlcBpwJHqWo+t/gaY2pIXut0sysT7iWYgguwK3BrQLGqlogcA3wNON0KrjF9W76bI04D9g04h1PiTmL/gGNWDRHZFbgHOEtVF1U6H2NMZeW7TvfSXA3e0BdYyTK66aI/A9iVvRgvE3N1u8RP7LARkQF4O86uV9WnK5yOMaYK+J7TjTuJScDrudqt0zUMZDCO1LFe1/ISf+MgjmCojOi1GzA+5SbX+komBLIvzu4ABgFn2kE2xhjIb3rhVD+NBsswHKnLfk8AoYN1ObsBx+SRSxhcBBwKXGAF1xjTI5/pBd9zuXP1Zd7jXVy6GcJwRrGj3/gP5ZFP1RKRqcCPgCNUNef/OMaYviOfojvcb8O9ZQp76WTWsIKVLMfxN6Dudf4hLERkHJAEvqyq6UrnY4ypLvlML0g+gUWE4TKajXSwiHmBx69G2ZPDfg/cpaqPVjofY0z1yafori7kAYpLB+v9NF1VSPwq8/+AjcD3K5yHMaZK5VN0cx6yvUk3kNGFdGkXqsoKzZBhISMZG0j8aiYiZ+CtYz5LVe0oS2PMNuUzp/sI8L3emwiLmMdcXkZRBjCQvTiQMbJTrtgdQGhvwBWRScD/Bz6tqisrnY8xpnrldfZC3En8DzCtBHnckXKTXy5B3JITkWHAi8C1qvrbSudjjKlu+W4DvrkUSbyhL6wUkX6liF1KIuIAvwWesIJrjPEj36KbBP4VZAKduunvGRbsD7wpIqdnd3KFxX8Ao4ErK52IMSYc8iq6KTe5ETgHbw42CO81SL+zVPV4vLMXrgaeFZFSTGEESkSOw8s5oaqbKp2PMSYc8r6CPeUmnwfOBIq962wV3u0RCwFUNQUcDNwGPCAiSRHZo8hnlISITATuwjtT4b1K52OMCY+8iy5Ayk0+ChwLrCnwue8Ah6Xc5Ktb/qCqdqvqXcBewCvAP0TkRhEZVeBzAiciA/G2K/9YVZ+pdD7GmHApqOgCpNzkU8B+wJ3ABp/dVgHXAQel3OR21+Wqaruq/gTvPIZ6YK6IfDN7VGLFZOebbwXmAL+oZC7GmHAK6gr2kcB5eLcCT9rqp7vxLmO8Hbi/kFuARWQvvN1ek4HvAPepqltMzoUQkcvwTg87TFV9bbMzxpgtBVJ0txR3EkPw3ugPAtqA5Sk32R5EbBE5EmjGG6F/Q1WfKjDHOuB44Cy8Qj4KaMCbLpkPPA7cmXKTS7d49mHAw3gF19dhEsYYs7XAi26pZdfGfh74CfAmcJWqzvHTN/sfwmXAV/DuZ+tNJ97tvTfM1AcXAbOBi1X1sUJzN8aY0BXdHiLSH6+Afgvvxdb3VXW7twrHncSheFfn7JzPc1RV3+OdxXN55Q5X3e8XkbIxxhT+Iq3SVHWjqt4A7A2sx9tccY2IDNq6bdxJHA88TZ4FF7yXZ+MluvMnOW3f7G3IxhhTsNAW3R6qulJVm4CP4a12SIvIBSLenUFxJzEVb4S7QzHPEZEEcHPcSYRpx5wxpsqEvuj2UNVWVT0T7y63LwKvDJKhp6rqgxRZcLfwZeDcgGIZY/qg0M7p9ia7nvaUiexz++6y35iAwy8CJqbcZFfAcY0xfUDNjHS3pKp6jJz+aJR9S3Ep5M7AiSWIa4zpA/I5xDxsjsuekdCrTt3EHGazgqX0oz97MImITMjV7TLgj4FkaYzpU2pypJt1lp9Gc3kFB4fpnMQkDuUtXmad5jxSIh53EkFPWxhj+oBaLrqTczXo1i6WsYgo+1Ev9QyX0YxhJ5awwE/8g4rO0BjT59Ry0c15Mtl62hAcBsmQD35sCMNYz1o/8UcWkZsxpo+q5aKbcyNDN13UbzWtXU8DXf6OCg7d9ULGmMqr5aKbc2K2jnq6+PDKry66qM9drwFWF5aWMaYvq+Wi+06uBoMYguLSrm0f/FgbqxnEUD/x5xeemjGmr6rlojsjV4M6qWcs45nHHLq1i9X6Pst5jx3JuWRsEd4JZ8YYk5daLrq/BjbmarQ3U3Dp5m/8idd5nn2YwmAZlqvbbSk3WfZD1I0x4VeT24B7xJ3Eb4EvBBy2C9gl5Sa3e4ykMcZsTy2PdAH+Cwj6f5V7rOAaYwpV00U35SZfwbtbLSjvAt8MMJ4xpo+p6aKbdTVwXwBxVgEnpNzk8gBiGWP6qJovutkXXufiXZ1eqAXAESk36esuNmOM2Z6afpG2pTqp220cu7y+DwevccQZ77NbJ3A38C0b4RpjgtAnim72UPPHgb8eI6dfj3f9+qXAccC2rt9ZiDcyvmPLa9iNMaZYfaXongd8FZiqqh/s+407iVHAgXiH4/RbqgvHzuftC6fKMZNsHa4xphRqvuiKyI7Aa8CnVfXVHG0HA0uBoaraXYb0jDF9TE2/SMtOK9wE3J6r4AKo6jpgOZDzxgljjClETRdd4HPAPsCP8ujzJjCpNOkYY/q6mi26IjIKaAHOV9WcZzBs4Q1gv9JkZYzp62q26AI3AA+o6nN59nsTK7rGmBKpyduAReR44EjggAK6vwl8PdiMjDHGU3OrF0RkKPA6cIGqziyg/0BgBTBky+VlxhgThFqcXvhPYGYhBRdAVduBxcAegWZljDHU2PSCiEwHTqH41Qc987pzi07KGGO2UDMjXRHZAfgVcJmqri4ynC0bM8aURM0UXeD7wCuq+scAYtmyMWNMSdRE0RWRQ4Dz8M5XCIItGzPGlEToVy+ISD/gReB6Vb0noJgDgNV4ZzBsCiKmMcZAbYx0r8K7Ev13QQVU1Q3AfCAWVExjjIGQr14QkX2BRmCKBj9k75lieCPguMaYPiy0I10RqQPuBL6rqgtL8AhbwWCMCVxoiy7eS7MNwO0lim8rGIwxgQvl9IKIRPFu+Z2mqqW64cFWMBhjAhe61QvZg8lnAn9R1Z+V8Dn9gLXA8OyLNWOMKVoYpxcuAIYCN5byIdmlYvOAvUv5HGNM3xKqoisi4/EOtDm/TCeA2byuMSZQoSm62WmFW4CbVPX1Mj3W5nWNMYEKTdEFzgCiwE/K+ExbNmaMCVQoVi+IyGi8OdyTy7wt16YXjDGBCsXqBRH5HZBR1aYyP7cebwXDGFVdX85nG2NqU9WPdEXkM8BUCrvvrCiq2iUi/4t3jfvscj/fGFN7qnpOV0SG4b08uzB7jU4l2Ms0Y0xgyjrSjTsJAY4CvgR8HBgL7AC0Ae8BTwO/TLnJnkNmfgr8WVWfKmeeW7F5XWNMYMoypxt3Ev2AC4HL8D6q5zIrowuefIMXLgQmqeqakibYCxE5BbhYVU+oVA7GmNpR8pFu3ElEgT+S39Kr6RGZMH24jp49QAZW+k2fTS8YYwJT0pFu3EkcgHdOwpgiwvwTOCblJpcHk1V+skdIrgUiqtpWiRyMMbWjZC/S4k5iAjCD4goueKsW/hR3EgOLzyp/qtqNdxX7vpV4vjGmtpSk6MadhAPcC+wYUMipwHUBxSqE7UwzxgSiVCPd44DDA455adxJ7BJwTL9sXtcYE4hSFd1LSxDTwVsBUQm2bMwYE4jAX6TFncREvHNopbd2T+nDH/p+N93szO7sLZN765YBdk25ybJeiy4iuwHPqur4cj7XGFN7SrFk7PPkKLgAR8upH3y7S7t4hj8xjp1zdYvgba5IFZNgARYAQ0VkuKquLvOzjTE1pBTTCwfl22EZi+jHAIYz2k/zA/POqEjZe9jmYFMMxpgilaLojsy3wxLeJcIEvHPKg48fEFvBYIwpWimKbkM+jTt0PatYzk7s5rdLv7wzCoatYDDGFK0URTevcxKWsIDhjGYHGeS3y+q8MwqGFV1jTNFKUXTn5dM4w7vsyK75dGnNL53AvIFNLxhjilSK1Qt/AXzd8LBa32cDHX5WLfToAp4sNLEiLW6g34ApMv3IUTLOBTYAy4GFKTdZ6UN5jDEhUYp1ug7wFhDL1fYtfYluupkkh/oNf3/KTZ5ZTH75ijuJwcDZwMXAthYRLwXuBm5Nucm8RvnGmL6nJKeMxZ3E5cB/BR4Yjkq5yVkliPsRcScxDLgGbxfcEJ/dZgDfSrnJ10qWmDEm1Eq1Dfg3wIqAY74APBNwzG2KO4kY8DJwJf4LLnhnTsyOO4kvliQxY0zolaToptzkauCiAEO2AReUY+407iT2BZ4FogWGqAd+E3cSXw0uK2NMrSjZebopN/kQPl+o5dAJnL7FvWklE3cSEbwXgb62xuXw87iTOC2AOMaYGlLS24BTbvIG4CuAW2CINcCxKTf5RHBZ9ernwISAYgnwy7iTGBVQPGNMDSj5FewpN3kb3tm6z+XRTYGHgckpN1mWm4DjTmIPvMN6gjSSyh1HaYypQmW5DbhH3ElMAS4BzgK2df3OcuBXwO0pNzm/bIkBcSfxM3xOh7RrG/8gxVh29rPc7V1g95Sb7C42R2NM+JW16PaIO4n+wP7AWLziuxZYAsypRHGKO4kdgMXACD/tX9ZZuHQzgEF+1xiflHKT/11MjsaY2lDyK9i3JeUmNwKzK/Hs7ZiGz4Kb0YXU049BDKGD9X7jnwxY0TXGlH5ONyRy7p4D6NJOWnmTGAfkG3/P/FMyxtQiK7qe4X4azeNNdmI3Bkjet8H7im+MqX1WdD05l7S16WpWsowJ/gbFecc3xvQNFZnTrUIrczVYxXI6WM/feQwUuulCUZ7XtUyVY3J3N8YYrOj2yLnbbTwTGccuH3z/Xd5mA+3szRQ/8V8vIjdjTA2xout5Ee/G3+3uRquTeuq2+O2q03oc6ugn/f3ETxadoTGmJticLpBdG3xbPn12l/38rtF9jfx24xljapgV3c3uwDtcJ2g3280SxpgeVnSzUm5yKXBzwGHfwbtVwhhjACu6W/sO3vxuEDqAM1NusiOgeMaYGmBFdwspN7ke+AzeHW/F2AgkUm7yheKzMsbUEiu6W0m5yWV4R1EWeqTk+8AxKTf5WHBZGWNqRUVOGTPGmL7KRrrGGFNGVnSNMaaMrOgaY0wZWdE1xpgysqJrjDFlZEXXGGPK6P8Adjd01rXR1W0AAAAASUVORK5CYII=\n", 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\n", 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" ] @@ -280,6 +282,14 @@ "G_tree = nx.random_tree(10) # Returns a uniformly random tree on n nodes.\n", "calculate_and_draw(G_tree)\n" ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "loved-north", + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": {