{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import networkx as nx\n",
    "from networkx.algorithms import community\n",
    "import itertools\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy\n",
    "from networkx.drawing.nx_agraph import graphviz_layout, to_agraph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "file_name_wh_ex = \"toy\"\n",
    "nodes_range = 10\n",
    "nodes_list = list(range(1, 11))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "protein_graph = nx.Graph()\n",
    "\n",
    "protein_graph.add_nodes_from(list(range(1,11)))\n",
    "\n",
    "firs_connected = [[1,2], [2,3], [3,4], [4,5], [5,6], [6,7], [7,8], [8,9], [9,10]]\n",
    "\n",
    "#firs_connected = [[1,2], [2,3], [1,3], [3,4], [4,5], [5,6], [6,7], [7,8], [9,7] ,[8,9],[8,10], [9,10], [3,8]]\n",
    "\n",
    "protein_graph.add_edges_from(firs_connected)\n",
    "\n",
    "\n",
    "pos = nx.spring_layout(protein_graph, scale=0.2)\n",
    "plt.figure(figsize=(5,5))\n",
    "nx.draw(protein_graph, with_labels=True, node_size = 1000, pos=pos)\n",
    "\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "protein_graph = nx.Graph()\n",
    "\n",
    "protein_graph.add_nodes_from(list(range(1,11)))\n",
    "\n",
    "firs_connected = list(itertools.combinations(list(range(1,4)),2))\n",
    "sek_connected = list(itertools.combinations(list(range(4,7)),2))\n",
    "thr_connected = list(itertools.combinations(list(range(7,11)),2))\n",
    "\n",
    "protein_graph.add_edges_from(firs_connected+sek_connected+thr_connected+[(1,10), (3,4), (6,7)])\n",
    "\n",
    "\n",
    "pos = nx.spring_layout(protein_graph)\n",
    "\n",
    "nx.draw(protein_graph, with_labels=True, node_size = 1000, pos=pos)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[((1, 10), 0.2777777777777778), ((6, 7), 0.2777777777777778), ((3, 4), 0.2111111111111111)]\n",
      "[((6, 7), 0.5333333333333333), ((3, 4), 0.4666666666666667)]\n",
      "((3, 4), 0.2)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(6, 7)\n",
      "[{1, 2, 3, 4, 5, 6}, {8, 9, 10, 7}]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(3, 4)\n",
      "[{1, 2, 3}, {4, 5, 6}, {8, 9, 10, 7}]\n",
      "\n",
      "\n",
      "[(6, 7), (3, 4)]\n",
      "[(1, 10), (6, 7), (3, 4)]\n"
     ]
    }
   ],
   "source": [
    "protein_graph_0 = protein_graph.copy()\n",
    "protein_graph_1 = protein_graph.copy()\n",
    "\n",
    "edge_betwen = nx.centrality.edge_betweenness_centrality(protein_graph_1)\n",
    "edge_betwen_sorted_2 = sorted(edge_betwen.items(), key=lambda item: item[1], reverse=True)\n",
    "print(edge_betwen_sorted_2[0:3])\n",
    "protein_graph_1.remove_edge(edge_betwen_sorted_2[0][0][0],edge_betwen_sorted_2[0][0][1])\n",
    "edge_betwen = nx.centrality.edge_betweenness_centrality(protein_graph_1)\n",
    "edge_betwen_sorted_2 = sorted(edge_betwen.items(), key=lambda item: item[1], reverse=True)\n",
    "print(edge_betwen_sorted_2[0:2])\n",
    "protein_graph_1.remove_edge(edge_betwen_sorted_2[0][0][0],edge_betwen_sorted_2[0][0][1])\n",
    "edge_betwen = nx.centrality.edge_betweenness_centrality(protein_graph_1)\n",
    "edge_betwen_sorted_2 = sorted(edge_betwen.items(), key=lambda item: item[1], reverse=True)\n",
    "print(edge_betwen_sorted_2[0])\n",
    "edge_betwen = nx.centrality.edge_betweenness_centrality(protein_graph)\n",
    "edge_betwen_sorted_2 = sorted(edge_betwen.items(), key=lambda item: item[1], reverse=True)\n",
    "\n",
    "protein_graph_0 = protein_graph.copy()\n",
    "BC_g_0 = nx.centrality.betweenness_centrality(protein_graph_0)\n",
    "\n",
    "community_list = []\n",
    "community_list.append(list(nx.connected_components(protein_graph)))\n",
    "removed_edge_list = []\n",
    "removed_edge_list_all = []\n",
    "\n",
    "\n",
    "for i in range(len(protein_graph.edges())):\n",
    "    removed_edge_list_all.append(edge_betwen_sorted_2[0][0])\n",
    "    protein_graph.remove_edge(edge_betwen_sorted_2[0][0][0],edge_betwen_sorted_2[0][0][1])\n",
    "    comp_list = list(nx.connected_components(protein_graph))\n",
    "\n",
    "    if (len(comp_list) > len(community_list)) == True:\n",
    "        community_list.append(tuple(comp_list))\n",
    "        removed_edge_list.append(edge_betwen_sorted_2[0][0])\n",
    "        nx.draw(protein_graph, with_labels=True, node_size = 1000, pos=pos)\n",
    "        plt.show()\n",
    "        plt.close()\n",
    "        print(edge_betwen_sorted_2[0][0])\n",
    "        print(comp_list)\n",
    "    if len(community_list) == 3:\n",
    "        break\n",
    "    edge_betwen = nx.centrality.edge_betweenness_centrality(protein_graph)\n",
    "    edge_betwen_sorted_2 = sorted(edge_betwen.items(), key=lambda item: item[1], reverse=True)\n",
    "print(\"\\n\")\n",
    "print(removed_edge_list)\n",
    "print(removed_edge_list_all)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "protein_graph = protein_graph_0.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "EdgeView([(1, 2), (1, 3), (1, 10), (2, 3), (3, 4), (4, 5), (4, 6), (5, 6), (6, 7), (7, 8), (7, 9), (7, 10), (8, 9), (8, 10), (9, 10)])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "protein_graph.edges()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Calculate number of neighbours (<em>k</em>) for each residue and visualize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "neig_per_res = np.zeros((nodes_range))\n",
    "for i in nodes_list:\n",
    "    neig_per_res[i-1] = len(list(protein_graph.neighbors(i)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(9,5))\n",
    "ax.set_ylabel('k'); #set label names\n",
    "ax.set_xlabel('Node Index');\n",
    "plt.yticks(fontsize=12, fontname = \"Arial\")\n",
    "plt.xticks(fontsize=12, fontname = \"Arial\")\n",
    "plt.plot(neig_per_res, color='black')\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "spaths_BC = nx.betweenness_centrality(protein_graph)\n",
    "BC_per_res = np.zeros((nodes_range))\n",
    "for i in nodes_list:\n",
    "    BC_per_res[i-1] = spaths_BC[i]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(9,5))\n",
    "ax.set_ylabel('BC'); #set label names\n",
    "ax.set_xlabel('Node Index');\n",
    "plt.yticks(fontsize=12, fontname = \"Arial\")\n",
    "plt.xticks(fontsize=12, fontname = \"Arial\")\n",
    "plt.plot(BC_per_res, color='black')\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Calculate clustering coefficient (<em>C</em>) for each residue and visualize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "clust_per_res = np.zeros((nodes_range))\n",
    "clust_dict = nx.clustering(protein_graph)\n",
    "for i in nodes_list:\n",
    "    clust_per_res[i-1] = clust_dict[i]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(9,5))\n",
    "ax.set_ylabel('C'); #set label names\n",
    "ax.set_xlabel('Node Index');\n",
    "plt.yticks(fontsize=12, fontname = \"Arial\")\n",
    "plt.xticks(fontsize=12, fontname = \"Arial\")\n",
    "plt.plot(clust_per_res, color='black')\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Calculate average shorthest path length (<em>\\<L\\></em>) for each residue and visualize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "avg_path_L_all = dict(nx.all_pairs_shortest_path_length(protein_graph))\n",
    "L_per_res = np.zeros((nodes_range))\n",
    "L_pair_matrix = np.zeros((nodes_range, nodes_range))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "for node in protein_graph:\n",
    "    L_per_res[node-1] = np.mean(list(avg_path_L_all[node].values()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "for pair in itertools.permutations(list(range(nodes_range)), 2):\n",
    "    L_pair_matrix[pair[0], pair[1]] = avg_path_L_all[pair[0]+1][pair[1]+1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(9,5))\n",
    "ax.set_ylabel('<L>'); #set label names\n",
    "ax.set_xlabel('Node Index');\n",
    "plt.yticks(fontsize=12, fontname = \"Arial\")\n",
    "plt.xticks(fontsize=12, fontname = \"Arial\")\n",
    "plt.plot(L_per_res, color='black')\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
