{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# A brief tutorial of NetworkX\n",
    "\n",
    "Made for the network science course @ DCC/FCUP (2025/2026 edition)\n",
    "\n",
    "## Main Links\n",
    "\n",
    "- [NetworkX website](https://networkx.org/) | [Install](https://networkx.org/documentation/stable/install.html) | [Reference](https://networkx.org/documentation/stable/reference/index.html) | [Tutorial](https://networkx.org/documentation/stable/tutorial.html) | [Gallery](https://networkx.org/documentation/stable/auto_examples/index.html)\n",
    "\n",
    "## Importing the library into Python\n",
    "\n",
    "After starting Python, import the networkx module:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Creating a graph\n",
    "\n",
    "### Network types\n",
    "\n",
    "NetworkX provides 4 basic graph types (all of them allow for _self-loops_):\n",
    "- `Graph`: **undirected** with **no** parallel edges\n",
    "- `DiGraph`: **directed** with **no** parallel edges\n",
    "- `MultiGraph`: **undirected multigraph** (with parallel edges)\n",
    "- `MultiDiGraph`: **directed multigraph** (with parallel edges)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Graph with 0 nodes and 0 edges\n",
      "DiGraph with 0 nodes and 0 edges\n",
      "MultiGraph with 0 nodes and 0 edges\n",
      "MultiDiGraph with 0 nodes and 0 edges\n",
      "<class 'networkx.classes.digraph.DiGraph'>\n"
     ]
    }
   ],
   "source": [
    "# Creating a graph of each of the basic 4 types\n",
    "G1 = nx.Graph();\n",
    "G2 = nx.DiGraph();\n",
    "G3 = nx.MultiGraph();\n",
    "G4 = nx.MultiDiGraph();\n",
    "\n",
    "# Showing what it prints\n",
    "print(G1, G2, G3, G4, sep='\\n');\n",
    "print(type(G2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Creation approaches\n",
    "\n",
    "There are essentially 3 ways to create a graph:\n",
    "\n",
    "1. Adding edges and nodes **explicitly**\n",
    "2. Graph [**generators**](https://networkx.org/documentation/stable/reference/generators.html) (standard algorithms to create network topologies)\n",
    "3. **Importing** data from pre-existing (usually file) sources (see [reading and writing graphs](https://networkx.org/documentation/stable/reference/readwrite/index.html))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Adding edges and nodes explicitly\n",
    "\n",
    "Here is our first example of an undirected graph:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, 2, 3, 'four', 5, 6]\n",
      "[(1, 2), (1, 'four'), (1, 3), (2, 3), (2, 5), (2, 6), (3, 'four')]\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create an empty undirected graph\n",
    "G = nx.Graph()\n",
    "\n",
    "# Create some nodes\n",
    "G.add_node(1)            # create a single node\n",
    "G.add_nodes_from([2,3])  # create nodes from a list\n",
    "G.add_node(\"four\")       # node labels can be of different types (anything hashable)\n",
    "\n",
    "# Create some edges\n",
    "G.add_edge(1,2)\n",
    "G.add_edges_from([(2,3),(3,\"four\"), (\"four\", 1), (1,3)])\n",
    "G.add_edges_from([(2,5),(2,6)]) # if a node does not exist, it is created\n",
    "\n",
    "# Show nodes and edges\n",
    "print(G.nodes)\n",
    "print(G.edges)\n",
    "\n",
    "# Draw the graph (more on this later)\n",
    "nx.draw(G, with_labels = True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here an example directed graph (a *feedforward loop*):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# And now directed graph\n",
    "G = nx.DiGraph()\n",
    "G.add_edges_from([(42,21), (42,0), (21,0)])\n",
    "nx.draw(G, with_labels=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Attributes\n",
    "\n",
    "Nodes and edges can have arbitrary attributes (graphs are essentially a [\"dictionary of dictionaries\"](https://networkx.org/documentation/stable/reference/introduction.html))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(1, {'name': 'Pedro', 'number': 42, 'color': 'orange'}), (2, {'color': 'red'}), (3, {'color': 'green'})]\n",
      "[(1, {'name': 'Peter', 'number': 42, 'color': 'blue'}), (2, {'color': 'red'}), (3, {'color': 'green'})]\n",
      "node 1 {'name': 'Peter', 'number': 42, 'color': 'blue'}\n",
      "node 2 {'color': 'red'}\n",
      "node 3 {'color': 'green'}\n",
      "colors: [(1, 'blue'), (2, 'red'), (3, 'green')]\n",
      "colors:  {1: 'blue', 2: 'red', 3: 'green'}\n",
      "[(1, 2, {'weight': 1.5}), (1, 3, {'weight': 1.2}), (2, 3, {'weight': 3.1})]\n",
      "weights: {(1, 2): 1.5, (1, 3): 1.2, (2, 3): 3.1}\n"
     ]
    }
   ],
   "source": [
    "G = nx.Graph() # a new empty undirected graph\n",
    "\n",
    "# Example of node attributes\n",
    "G.add_node(1, name=\"Pedro\", number=42, color=\"orange\")             # add a node with three attributes\n",
    "G.add_nodes_from([(2, {\"color\": \"red\"}), (3, {\"color\": \"green\"})]) # attributes can be added as dictionaries\n",
    "print(G.nodes.data())                                              # nodes and their attributes\n",
    "\n",
    "# Changing node attributes\n",
    "G.add_node(1, color=\"blue\")  # adding again will change the attribute\n",
    "G.nodes[1][\"name\"] = \"Peter\" # we can also use it as any dictionary\n",
    "print(G.nodes.data())\n",
    "\n",
    "# Traversing nodes using node dictionary keys\n",
    "for v in G.nodes: print(\"node\", v, G.nodes[v])  # get individuallly all nodes and their attributes\n",
    "\n",
    "# We can get just one specific node attribute\n",
    "print(\"colors:\", G.nodes.data(\"color\"))                # a list of tuples with all node values for \"color\"\n",
    "print(\"colors: \", nx.get_node_attributes(G, \"color\"))  # a dictionary of all node values for \"color\"\n",
    "\n",
    "# Example of edge attributes\n",
    "G.add_edge(1, 2, weight=1.5)                           # add an edge with one attribute\n",
    "G.add_weighted_edges_from([(2, 3, 3.1), (1, 3, 1.2)])  # some attributes have specialized functions\n",
    "print(G.edges.data())                                  # get all data from edges\n",
    "print(\"weights:\", nx.get_edge_attributes(G, \"weight\")) # a dictionary of all edge values for \"weight\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Graph generators\n",
    "\n",
    "Graph [generators](https://networkx.org/documentation/stable/reference/generators.html) are standard algorithms to create specific network topologies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# a clique of size 5\n",
    "G = nx.house_graph()\n",
    "nx.draw(G, with_labels=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# a barbelll graph of two cliques of size 4 connected by a path of size 3\n",
    "G = nx.barbell_graph(4, 3)\n",
    "nx.draw(G, with_labels=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# You know this network, right? :)\n",
    "G = nx.karate_club_graph()\n",
    "nx.draw(G, with_labels=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Returns a random Erdős-Rényi graph with 10 nodes and 0.3 probability of coonnection\n",
    "G = nx.erdos_renyi_graph(10, 0.3)\n",
    "nx.draw(G, with_labels=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Returns a random Watts–Strogatz graph with 10 nodes each with 4 neighbors and 0.0 rewiring probability\n",
    "G = nx.watts_strogatz_graph(10, 4, 0.0)\n",
    "nx.draw(G, with_labels=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Returns a random Barabasi-Albert graph with n=20 nodes and each new node connects to m=1 nodes\n",
    "G = nx.barabasi_albert_graph(20,1)\n",
    "nx.draw(G, with_labels=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Reading and Writing Graphs\n",
    "\n",
    "NetworkX provides for [reading and writing](https://networkx.org/documentation/stable/reference/readwrite/index.html) in multiple formats:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# You can get this file at https://github.com/gephi/gephi/wiki/Datasets\n",
    "G = nx.read_gml(\"lesmiserables.gml\")\n",
    "nx.draw(G, with_labels=True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[('3372518', {'movie_id': 543, 'Eccentricity': 4.0, 'Closeness Centrality': 2.6666666666666665, 'Betweenness Centrality': 0.0, 'Degree': 2, 'Component ID': 0, 'Modularity Class': 1, 'viz': {'color': {'r': 255, 'g': 102, 'b': 0, 'a': 1.0}, 'size': 5.0, 'position': {'x': 191.03696, 'y': -19.215456, 'z': 0.0}}, 'label': 'AGENT BROWN'}), ('3368683', {'movie_id': 543, 'Eccentricity': 4.0, 'Closeness Centrality': 1.9, 'Betweenness Centrality': 39.133333333333326, 'Degree': 6, 'Component ID': 0, 'Modularity Class': 1, 'viz': {'color': {'r': 255, 'g': 102, 'b': 0, 'a': 1.0}, 'size': 7.9649677, 'position': {'x': 154.8182, 'y': -38.43363, 'z': 0.0}}, 'label': 'AGENT JONES'}), ('3368424', {'movie_id': 543, 'Eccentricity': 3.0, 'Closeness Centrality': 1.8, 'Betweenness Centrality': 48.20000000000002, 'Degree': 7, 'Component ID': 0, 'Modularity Class': 1, 'viz': {'color': {'r': 255, 'g': 102, 'b': 0, 'a': 1.0}, 'size': 8.651911, 'position': {'x': 109.96317, 'y': -9.65264, 'z': 0.0}}, 'label': 'AGENT SMITH'}), ('3368801', {'movie_id': 543, 'Eccentricity': 4.0, 'Closeness Centrality': 2.2, 'Betweenness Centrality': 0.0, 'Degree': 2, 'Component ID': 0, 'Modularity Class': 2, 'viz': {'color': {'r': 95, 'g': 202, 'b': 190, 'a': 1.0}, 'size': 5.0, 'position': {'x': -191.12187, 'y': -39.814873, 'z': 0.0}}, 'label': 'ANTHONY'}), ('3369601', {'movie_id': 543, 'Eccentricity': 3.0, 'Closeness Centrality': 1.8666666666666667, 'Betweenness Centrality': 0.42857142857142855, 'Degree': 8, 'Component ID': 0, 'Modularity Class': 3, 'viz': {'color': {'r': 255, 'g': 220, 'b': 101, 'a': 1.0}, 'size': 5.032471, 'position': {'x': 61.258385, 'y': 42.168903, 'z': 0.0}}, 'label': 'APOC'}), ('3371227', {'movie_id': 543, 'Eccentricity': 3.0, 'Closeness Centrality': 1.8666666666666667, 'Betweenness Centrality': 0.42857142857142855, 'Degree': 8, 'Component ID': 0, 'Modularity Class': 3, 'viz': {'color': {'r': 255, 'g': 220, 'b': 101, 'a': 1.0}, 'size': 5.032471, 'position': {'x': 28.977262, 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# You can get this file at https://doi.org/10.7910/DVN/T4HBA3/BIOFH6\n",
    "G = nx.read_gexf(\"matrix.gexf\") # Co-appeareance network of \"The Matrix\" movie\n",
    "nx.draw(G, with_labels=True, font_size=10, width=1, edge_color=\"red\",\n",
    "           labels=nx.get_node_attributes(G, \"label\"))\n",
    "\n",
    "print(G.nodes.data())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Graph with 6 nodes and 6 edges\n",
      "['0', '1', '2', '3', '4', '5']\n",
      "[('0', '1'), ('0', '5'), ('1', '2'), ('2', '3'), ('3', '4'), ('4', '5')]\n"
     ]
    }
   ],
   "source": [
    "# Writing a graph in GML\n",
    "G = nx.cycle_graph(6)\n",
    "nx.write_gml(G, \"cycle.gml\")\n",
    "\n",
    "# Reading and printing the graph to check\n",
    "H = nx.read_gml(\"cycle.gml\")\n",
    "print(H, H.nodes, H.edges, sep=\"\\n\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Reporting graph data\n",
    "\n",
    "Graphs have four _\"views\"_ that report information:\n",
    "- nodes\n",
    "- edges\n",
    "- adjacency list\n",
    "- degree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Graph with 4 nodes and 6 edges\n",
      "<class 'networkx.classes.graph.Graph'>\n",
      "nodes: [0, 1, 2, 3]\n",
      "<class 'networkx.classes.reportviews.NodeView'>\n",
      "edges: [(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (2, 3)]\n",
      "<class 'networkx.classes.reportviews.EdgeView'>\n",
      "adj: {0: {1: {}, 2: {}, 3: {}}, 1: {0: {}, 2: {}, 3: {}}, 2: {0: {}, 1: {}, 3: {}}, 3: {0: {}, 1: {}, 2: {}}}\n",
      "<class 'networkx.classes.coreviews.AdjacencyView'>\n",
      "degree: [(0, 3), (1, 3), (2, 3), (3, 3)]\n",
      "<class 'networkx.classes.reportviews.DegreeView'>\n"
     ]
    }
   ],
   "source": [
    "G = nx.complete_graph(4)\n",
    "\n",
    "print(G)\n",
    "print(type(G))\n",
    "print(\"nodes:\", G.nodes)\n",
    "print(type(G.nodes))\n",
    "print(\"edges:\", G.edges)\n",
    "print(type(G.edges))\n",
    "print(\"adj:\", G.adj)\n",
    "print(type(G.adj))\n",
    "print(\"degree:\", G.degree)\n",
    "print(type(G.degree))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can use this to acess specific parts of the graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Properties of node 0:\n",
      "  - neighbors: [1, 4]\n",
      "  - degree: 2\n",
      "Edges of nodes 1 and 2: [(1, 0), (1, 2), (2, 3)]\n",
      "Degrees nodes 1 and 2: [(1, 2), (2, 2)]\n",
      "Neighbors of node 1 {0: {}, 2: {}}\n"
     ]
    }
   ],
   "source": [
    "G = nx.cycle_graph(5)\n",
    "\n",
    "print(\"Properties of node 0:\")\n",
    "print(\"  - neighbors:\", list(G.adj[0]));\n",
    "print(\"  - degree:\", G.degree[0]);\n",
    "\n",
    "print(\"Edges of nodes 1 and 2:\", G.edges([1,2]))\n",
    "print(\"Degrees nodes 1 and 2:\", G.degree([1,2]))\n",
    "\n",
    "print(\"Neighbors of node 1\", G[1]) # same as G.adj[1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Graph Operations\n",
    "\n",
    "We can use [graph operations](https://networkx.org/documentation/stable/tutorial.html#graph-generators-and-graph-operations) to obtain new graphs:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "G1: [(0, 1), (0, 3), (1, 2), (2, 3)]\n",
      "G2: [(0, 2), (1, 3)]\n",
      "G3: [(1, 2), (2, 3)]\n"
     ]
    }
   ],
   "source": [
    "G1 = nx.cycle_graph(4)\n",
    "G2 = nx.complement(G1)\n",
    "G3 = nx.subgraph(G1, [1,2,3])\n",
    "\n",
    "print(\"G1:\", G1.edges)\n",
    "print(\"G2:\", G2.edges)\n",
    "print(\"G3:\", G3.edges)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Graph Analysis\n",
    "\n",
    "There are many algorithms you can choose to analyse a graph (see [Algorithms](https://networkx.org/documentation/stable/reference/algorithms/index.html) and also [Functions](https://networkx.org/documentation/stable/reference/functions.html)). \\\n",
    "We now show a selected short list of existing algorithms (mainly covering some of the topics discussed on the course).\n",
    "\n",
    "### Example degree metrics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Degrees: [2, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "Degree Histogram: [0, 8, 1, 6]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G = nx.balanced_tree(2, 3)\n",
    "nx.draw(G, with_labels=True)\n",
    "\n",
    "print(\"Degrees:\", [d for _,d in G.degree])\n",
    "print(\"Degree Histogram:\", nx.degree_histogram(G))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example distance and shortest path metrics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Diameter: 4\n",
      "Average Shortest Path: 2.769230769230769\n",
      "Eccentricity: {0: 2, 1: 3, 2: 3, 3: 3, 4: 4, 5: 4, 6: 4, 7: 4, 8: 4, 9: 4, 10: 4, 11: 4, 12: 4}\n",
      "Center: [0]\n",
      "Periphery: [4, 5, 6, 7, 8, 9, 10, 11, 12]\n",
      "\n",
      "Shortest path between 9 and 12: [9, 2, 0, 3, 12]\n",
      "Its length: 4\n",
      "Has path? True\n",
      "\n",
      "SSSP from node 10: ({10: 0, 3: 1, 0: 2, 11: 2, 12: 2, 1: 3, 2: 3, 4: 4, 5: 4, 6: 4, 7: 4, 8: 4, 9: 4}, {10: [10], 3: [10, 3], 0: [10, 3, 0], 11: [10, 3, 11], 12: [10, 3, 12], 1: [10, 3, 0, 1], 2: [10, 3, 0, 2], 4: [10, 3, 0, 1, 4], 5: [10, 3, 0, 1, 5], 6: [10, 3, 0, 1, 6], 7: [10, 3, 0, 2, 7], 8: [10, 3, 0, 2, 8], 9: [10, 3, 0, 2, 9]})\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G = nx.balanced_tree(3, 2)\n",
    "nx.draw(G, with_labels=True)\n",
    "\n",
    "print(\"Diameter:\", nx.diameter(G))\n",
    "print(\"Average Shortest Path:\", nx.average_shortest_path_length(G))\n",
    "print(\"Eccentricity:\", nx.eccentricity(G))\n",
    "print(\"Center:\", nx.center(G))\n",
    "print(\"Periphery:\", nx.periphery(G))\n",
    "\n",
    "print()\n",
    "\n",
    "print(\"Shortest path between 9 and 12:\", nx.shortest_path(G, 9, 12))\n",
    "print(\"Its length:\", nx.shortest_path_length(G, 9, 12))\n",
    "print(\"Has path?\",  nx.has_path(G, 9, 12))\n",
    "\n",
    "print()\n",
    "\n",
    "print(\"SSSP from node 10:\", nx.single_source_dijkstra(G,10))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example connectivity metrics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Original Graph\n",
      "Nr Components: 1\n",
      "Components [{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}]\n",
      "\n",
      "After removing nodes 3 and 6\n",
      "Nr Components: 3\n",
      "Components: [{0, 1, 2}, {4, 5}, {8, 9, 7}]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G = nx.barbell_graph(3,4)\n",
    "nx.draw(G, with_labels=True)\n",
    "\n",
    "print(\"Original Graph\")\n",
    "print(\"Nr Components:\", nx.number_connected_components(G))\n",
    "print(\"Components\", list(nx.connected_components(G)))\n",
    "\n",
    "print()\n",
    "\n",
    "G.remove_nodes_from([3,6])\n",
    "print(\"After removing nodes 3 and 6\")\n",
    "print(\"Nr Components:\", nx.number_connected_components(G))\n",
    "print(\"Components:\", list(nx.connected_components(G)))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example centralities and clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Clustering coefficient: {'3372518': 1.0, '3368683': 0.4, '3368424': 0.42857142857142855, '3368801': 1.0, '3369601': 0.9642857142857143, '3371227': 0.9642857142857143, '3368585': 1.0, '3372710': 1.0, '3368276': 0.6515151515151515, '3370502': 0.9047619047619048, '3368815': 1.0, '3369674': 1.0, '3368427': 0, '3368259': 1.0, '3371823': 0, '3368515': 0.3235294117647059, '3371166': 0.9642857142857143, '3368749': 0.2134387351778656, '3374399': 1.0, '3372009': 0, '3373932': 1.0, '3371904': 0.6666666666666666, '3371868': 0, '3369067': 0, '3374068': 0, '3371940': 1.0, '3371343': 1.0, '3369113': 1.0, '3370993': 0.8611111111111112, '3368301': 0.3464052287581699, '3368269': 1.0}\n",
      "Closeness centrality: {'3372518': 0.375, '3368683': 0.5263157894736842, '3368424': 0.5555555555555556, '3368801': 0.45454545454545453, '3369601': 0.5357142857142857, '3371227': 0.5357142857142857, '3368585': 0.45454545454545453, '3372710': 0.45454545454545453, '3368276': 0.6, '3370502': 0.5263157894736842, '3368815': 0.45454545454545453, '3369674': 0.4918032786885246, '3368427': 0.3614457831325301, '3368259': 0.5172413793103449, '3371823': 0.4225352112676056, '3368515': 0.6818181818181818, '3371166': 0.5357142857142857, '3368749': 0.7894736842105263, '3374399': 0.46875, '3372009': 0.44776119402985076, '3373932': 0.4918032786885246, '3371904': 0.4918032786885246, '3371868': 0.3, '3369067': 0.44776119402985076, '3374068': 0.3488372093023256, '3371940': 0.45454545454545453, '3371343': 0.5084745762711864, '3369113': 0.4838709677419355, '3370993': 0.5454545454545454, '3368301': 0.6976744186046512, '3368269': 0.5172413793103449}\n",
      "Betweenness centrality: {'3372518': 0.0, '3368683': 0.08996168582375477, '3368424': 0.11080459770114946, '3368801': 0.0, '3369601': 0.0009852216748768472, '3371227': 0.0009852216748768472, '3368585': 0.0, '3372710': 0.0, '3368276': 0.021559934318555008, '3370502': 0.0009195402298850575, '3368815': 0.0, '3369674': 0.0, '3368427': 0.0, '3368259': 0.0, '3371823': 0.06666666666666667, '3368515': 0.234176245210728, '3371166': 0.0009852216748768472, '3368749': 0.4551231527093595, '3374399': 0.0, '3372009': 0.0, '3373932': 0.0, '3371904': 0.004980842911877394, '3371868': 0.0, '3369067': 0.0, '3374068': 0.0, '3371940': 0.0, '3371343': 0.0, '3369113': 0.0, '3370993': 0.0029392446633825942, '3368301': 0.16393541324575805, '3368269': 0.0}\n",
      "PageRank: {'3372518': 0.020328889546499553, '3368683': 0.03878678964170653, '3368424': 0.049403905682109034, '3368801': 0.016796708551484324, '3369601': 0.033752045546087746, '3371227': 0.0314229459041882, '3368585': 0.013125955906409458, '3372710': 0.013125955906409458, '3368276': 0.05792041332486743, '3370502': 0.023137818300922236, '3368815': 0.016796708551484324, '3369674': 0.014051234529587805, '3368427': 0.0076383360095689246, '3368259': 0.025855729951174723, '3371823': 0.01771925246431629, '3368515': 0.1000955590494523, '3371166': 0.03346539863557677, '3368749': 0.14923710176401914, '3374399': 0.009482964974704869, '3372009': 0.007278143513020814, '3373932': 0.01277994070963189, '3371904': 0.016680736145136463, '3371868': 0.012368960596351009, '3369067': 0.007278143513020814, '3374068': 0.008135685412346374, '3371940': 0.010822781284203272, '3371343': 0.02458706257244466, '3369113': 0.009641591606219694, '3370993': 0.07542800732730655, '3368301': 0.11932140266496855, '3368269': 0.02353383041478075}\n",
      "\n",
      "Top 5 for:\n",
      "Clustering:  [('AGENT BROWN', 1.0), ('ANTHONY', 1.0), ('COP', 1.0), ('COPS', 1.0), ('DUJOUR', 1.0)]\n",
      "Closeness:    [('NEO', 0.789), ('TRINITY', 0.698), ('MORPHEUS', 0.682), ('CYPHER', 0.6), ('AGENT SMITH', 0.556)]\n",
      "Betweenness: [('NEO', 0.149), ('TRINITY', 0.119), ('MORPHEUS', 0.1), ('TANK', 0.075), ('CYPHER', 0.058)]\n",
      "PageRank:    [('NEO', 0.455), ('MORPHEUS', 0.234), ('TRINITY', 0.164), ('AGENT SMITH', 0.111), ('AGENT JONES', 0.09)]\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G=nx.read_gexf(\"matrix.gexf\")\n",
    "nx.draw(G, with_labels=True, font_size=10, width=1, edge_color=\"gray\",\n",
    "           labels=nx.get_node_attributes(G, \"label\"))\n",
    "\n",
    "print(\"Clustering coefficient:\", nx.clustering(G))\n",
    "print(\"Closeness centrality:\", nx.closeness_centrality(G))\n",
    "print(\"Betweenness centrality:\", nx.betweenness_centrality(G))\n",
    "print(\"PageRank:\", nx.pagerank(G))\n",
    "\n",
    "print()\n",
    "\n",
    "k = 5\n",
    "decimal = 3\n",
    "print(\"Top\", k, \"for:\")\n",
    "lst = [(G.nodes[k][\"label\"],round(v,decimal)) for (k,v) in sorted(nx.clustering(G).items(), key=lambda x : x[1], reverse=True)]\n",
    "print(\"Clustering: \", lst[:k])\n",
    "\n",
    "lst = [(G.nodes[k][\"label\"],round(v,decimal)) for (k,v) in sorted(nx.closeness_centrality(G).items(), key=lambda x : x[1], reverse=True)]\n",
    "print(\"Closeness:   \", lst[:k])\n",
    "\n",
    "lst = [(G.nodes[k][\"label\"],round(v,decimal)) for (k,v) in sorted(nx.pagerank(G).items(), key=lambda x : x[1], reverse=True)]\n",
    "print(\"Betweenness:\",lst[:k])\n",
    "\n",
    "lst = [(G.nodes[k][\"label\"],round(v,decimal)) for (k,v) in sorted(nx.betweenness_centrality(G).items(), key=lambda x : x[1], reverse=True)]\n",
    "print(\"PageRank:   \", lst[:k])\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example community detection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[{0, 1, 2, 3, 7, 11, 12, 13, 17, 19, 21}, {16, 4, 5, 6, 10}, {24, 25, 28, 31}, {32, 33, 8, 9, 14, 15, 18, 20, 22, 23, 26, 27, 29, 30}]\n",
      "Modularity: 0.4438541256723075\n",
      "\n",
      "({0, 1, 3, 4, 5, 6, 7, 10, 11, 12, 13, 16, 17, 19, 21}, {2, 8, 9, 14, 15, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33})\n"
     ]
    }
   ],
   "source": [
    "G = nx.karate_club_graph()\n",
    "\n",
    "coms = nx.community.louvain_communities(G)\n",
    "print(coms)\n",
    "print(\"Modularity:\", nx.community.modularity(G, coms))\n",
    "\n",
    "print()\n",
    "\n",
    "coms = nx.community.girvan_newman(G)\n",
    "print(list(coms)[0]) # Communities after first division\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Drawing graphs\n",
    "\n",
    "### Introduction\n",
    "\n",
    "NetworkX provides [basic functionality for visualizing graphs](https://networkx.org/documentation/stable/reference/drawing.html), but its main goal is to enable graph analysis rather than perform graph visualization.\n",
    "\n",
    "Citing NetworkX documentation: *\"Proper graph visualization is hard, and we highly recommend that people visualize their graphs with tools dedicated to that task. Notable examples of dedicated and fully-featured graph visualization tools are Cytoscape, Gephi, Graphviz and, for LaTeX typesetting, PGF/TikZ. To use these and other such tools, you should export your NetworkX graph into a format that can be read by those tools.\"*\n",
    "\n",
    "The `draw` command we have been using uses [matplotlib](https://matplotlib.org/):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G = nx.balanced_tree(4,3)\n",
    "\n",
    "nx.draw(G, with_labels=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Drawing arguments\n",
    "\n",
    "It accepts [many possible arguments](https://networkx.org/documentation/stable/reference/generated/networkx.drawing.nx_pylab.draw_networkx.html):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G = nx.balanced_tree(4,3)\n",
    "\n",
    "nx.draw(G, with_labels=True,\n",
    "        node_size=200,      # size of nodes\n",
    "        font_size=10,       # text label size\n",
    "        node_color=\"red\",   # color of nodes\n",
    "        font_color=\"white\", # color of node labels\n",
    "        width=2,            # width of edges\n",
    "        pos=nx.spring_layout(G, iterations=500, k=1.5)\n",
    "        )\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Graph layout\n",
    "\n",
    "Node positioning is controled by the `pos` argument, and we can use other [layout algorithms](https://networkx.org/documentation/stable/reference/drawing.html#module-networkx.drawing.layout) other than the default spring layout:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G = nx.balanced_tree(4,3)\n",
    "\n",
    "# Concentric shells of nodes (can you see what's happening here?)\n",
    "shell1 = list(range(4**0))\n",
    "shell2 = list(range(4**0, 4**0 + 4**1))\n",
    "shell3 = list(range(4**0 + 4**1, 4**0 + 4**1 + 4**2))\n",
    "shell4 = list(range(4**0 + 4**1 + 4**2, 4**0 + 4**1 + 4**2 + 4**3))\n",
    "\n",
    "nx.draw(G, with_labels=True,\n",
    "        node_size=200,      # size of nodes\n",
    "        font_size=10,       # text label size\n",
    "        node_color=\"red\",   # color of nodes\n",
    "        font_color=\"white\", # color of nodes\n",
    "        width=2,            # width of edges\n",
    "        pos=nx.shell_layout(G,rotate=-1.15,nlist=[shell1, shell2, shell3, shell4])\n",
    "        )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can even have a manual layout:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Example adapted from networkx gallery\n",
    "G = nx.Graph()\n",
    "G.add_edges_from([(1, 2), (1, 3), (1, 5), (2, 3), (3, 4), (4, 5)])\n",
    "\n",
    "# explicitly set positions\n",
    "pos = {1: (0, 0), 2: (-1, 0.3), 3: (2, 0.17), 4: (4, 0.255), 5: (5, 0.03)}\n",
    "\n",
    "options = {\n",
    "    \"with_labels\": True,\n",
    "    \"font_size\": 25,\n",
    "    \"node_size\": 1000,\n",
    "    \"node_color\": \"white\",\n",
    "    \"edgecolors\": \"blue\",\n",
    "    \"linewidths\": 3,\n",
    "    \"width\": 5,\n",
    "}\n",
    "nx.draw(G, pos, **options)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Coloring\n",
    "\n",
    "You can use different colors for different nodes (and the same could be done for edges):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G = nx.karate_club_graph()\n",
    "\n",
    "# Give colors using already defined communities in attribute \"club\"\n",
    "colors = []\n",
    "for _,att in G.nodes.data():\n",
    "    if att[\"club\"] == \"Mr. Hi\": colors.append(\"red\")\n",
    "    elif att[\"club\"] == \"Officer\": colors.append(\"pink\")\n",
    "\n",
    "nx.draw(G, node_color=colors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G = nx.read_gexf(\"matrix.gexf\")\n",
    "\n",
    "# Give colors using communities computed with greedy modularity optimization\n",
    "coms = nx.community.greedy_modularity_communities(G)\n",
    "\n",
    "colors = [\"black\"] * G.number_of_nodes()\n",
    "use=[\"red\",\"green\",\"blue\",\"orange\",\"yellow\",\"cyan\",\"brown\",\"gray\"]\n",
    "for i in range(len(coms)):\n",
    "    for v in coms[i]:\n",
    "        colors[list(G.nodes).index(v)] = use[i] # slow but just to demonstrate\n",
    "\n",
    "nx.draw(G, with_labels=True, node_color=colors, font_size=10, width=1, edge_color=\"gray\",\n",
    "           labels=nx.get_node_attributes(G, \"label\"))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G = nx.erdos_renyi_graph(50, 0.025, 20)\n",
    "\n",
    "# Give colors for connected components with more than one element\n",
    "comps = nx.connected_components(G)\n",
    "\n",
    "colors = [\"black\"] * G.number_of_nodes()\n",
    "use=[\"red\",\"green\",\"blue\",\"orange\",\"yellow\",\"cyan\",\"brown\",\"gray\"]\n",
    "cur_color = 0\n",
    "for cc in comps:\n",
    "    if len(cc) > 1:\n",
    "        for v in cc: colors[v] = use[cur_color]\n",
    "        cur_color += 1\n",
    "\n",
    "nx.draw(G, node_size=30, node_color=colors)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Gallery of graph drawings\n",
    "\n",
    "The documentation includes an extensive [gallery of example drawings](https://networkx.org/documentation/stable/auto_examples/index.html#drawing) with downloadble code."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Other Features\n",
    "\n",
    "Here we have just given a brief overview of NetworkX.\n",
    "\n",
    "Here are some areas not explored here that could be of interest to you (among others):\n",
    "\n",
    "- **Efficiency**:\n",
    "\n",
    "  - The documention of algorithms will often include the **complexity** of the associated function and an associated paper.   \n",
    "    Sometimes there might be different versions of the same function. See for example: [fast_gnp_random_graph](https://networkx.org/documentation/stable/reference/generated/networkx.generators.random_graphs.fast_gnp_random_graph.html) _vs_ [gnp_random_graph](https://networkx.org/documentation/stable/reference/generated/networkx.generators.random_graphs.gnp_random_graph.html)\n",
    "  - There are **approximation** versions of some algorithms that trade accuracy for better execution times. \\\n",
    "    See the [Approximations and Heuristics](https://networkx.org/documentation/stable/reference/algorithms/approximation.html) section of the documentation.\n",
    "\n",
    "  - There are **parallel** and **GPU** backends for NetworkX that might provide faster alternatives for part of the library.\n",
    "    See the [Backends](https://networkx.org/documentation/stable/backends.html) section of the documentation.\n",
    "\n",
    "- **LaTeX** integration:\n",
    "\n",
    "  - If you writing a paper in LaTeX you can export a NetworkX graph drawing using TikZ in such a way that you can then include the drawing with very high quality and resolution. \\\n",
    "    See the [LaTeX section](https://networkx.org/documentation/stable/reference/drawing.html#module-networkx.drawing.nx_latex) in the documentation.\n",
    "\n",
    "- **Linear Algebra**:\n",
    "\n",
    "  - There are functions related to a linear algebra interpretation of graphs that allow you to approach the networks from a spectral graph theory perspective.\n",
    "    See the [Linear Algebra](https://networkx.org/documentation/stable/reference/linalg.html) section in the documentation.\n",
    "\n",
    "- **Algorithms**:\n",
    "\n",
    "  - The algorithms section is vast and includes many areas that were not discussed in this notebook, such as graph isomorphism, graph distance and graph minors; flows, matchings and cuts; link prediction; cliques and cycles; tree and DAGs related computations such as LCA and arborescence, etc.\n",
    "  See the [Algorithms](https://networkx.org/documentation/stable/reference/algorithms/index.html) section in te documentation.\n",
    "\n",
    "- **Contributing to NetworkX**:\n",
    "\n",
    "  - You can contribute to NetworkX as a developer and help implement new functionality or improve the existing code.\n",
    "    See the [Developer](https://networkx.org/documentation/stable/developer/index.html) section."
   ]
  }
 ],
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