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Last active August 17, 2020 11:07
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Example of plotting pretty networks using networkx and a force atlas layout
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Network Visualisation\n",
"\n",
"Some examples of visualising networks in Jupyter notebooks."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Create Network\n",
"\n",
"We can create a network from a simple edgelist, which is to say, a data object with two columns representing undirected edges between values in the two columns, or directed edges going from the entry in one column to the entry in another column."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"#%pip install --upgrade pandas\n",
"import pandas as pd\n",
"\n",
"df = pd.DataFrame({'from': ['a', 'b', 'c', 'c'], 'to': ['b', 'c', 'd', 'a']})\n",
"df"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can write that data to a CSV file:"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"df.to_csv('dummy_graph.csv', index=False)\n",
"! head dummy_graph.csv"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And read it back in again:"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"df = None\n",
"\n",
"df = pd.read_csv('dummy_graph.csv')\n",
"df"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Create a graph object using `networkx` graphing package."
]
},
{
"cell_type": "code",
"execution_count": 202,
"metadata": {},
"outputs": [],
"source": [
"#%pip install --upgrade networkx\n",
"import networkx as nx\n",
"\n",
"# If we donlt set the `create_using` attribute, we generate an undirected graph\n",
"DG = nx.from_pandas_edgelist(df, 'from', 'to', create_using=nx.DiGraph())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There are some default plotting packages in `networkx` but the diagrams they generate often look quite scrappy. There are various third party layout packages that can generate prettier diagrams."
]
},
{
"cell_type": "code",
"execution_count": 203,
"metadata": {},
"outputs": [],
"source": [
"# This force atlas layout algorithm often generates \"reliable\" layouts...\n",
"\n",
"#https://github.com/bhargavchippada/forceatlas2\n",
"#%pip install fa2\n",
"from fa2 import ForceAtlas2\n",
"import matplotlib.pyplot as plt\n",
"\n",
"forceatlas2 = ForceAtlas2(\n",
" # Behavior alternatives\n",
" outboundAttractionDistribution=True, # Dissuade hubs\n",
" linLogMode=False, # NOT IMPLEMENTED\n",
" adjustSizes=False, # Prevent overlap (NOT IMPLEMENTED)\n",
" edgeWeightInfluence=1.0,\n",
"\n",
" # Performance\n",
" jitterTolerance=1.0, # Tolerance\n",
" barnesHutOptimize=True,\n",
" barnesHutTheta=1.2,\n",
" multiThreaded=False, # NOT IMPLEMENTED\n",
"\n",
" # Tuning\n",
" scalingRatio=2.0,\n",
" strongGravityMode=False,\n",
" gravity=5.0,\n",
"\n",
" # Log\n",
" verbose=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can use the `forceatlas2` layout algorithm to generate layout co-ordinates for the nodes in the `networkx` graph:"
]
},
{
"cell_type": "code",
"execution_count": 204,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
"\n",
"100%|██████████| 2000/2000 [00:00<00:00, 74145.58it/s]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"BarnesHut Approximation took 0.00 seconds\n",
"Repulsion forces took 0.00 seconds\n",
"Gravitational forces took 0.00 seconds\n",
"Attraction forces took 0.00 seconds\n",
"AdjustSpeedAndApplyForces step took 0.00 seconds\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n"
]
}
],
"source": [
"positions = forceatlas2.forceatlas2_networkx_layout(DG, pos=None, iterations=2000)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can then layout the graph using the force atlas algorithm:"
]
},
{
"cell_type": "code",
"execution_count": 205,
"metadata": {},
"outputs": [
{
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"text/plain": [
"<Figure size 2880x1440 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
" 34%|███▍ | 684/2000 [00:19<00:19, 68.87it/s]\u001b[A"
]
}
],
"source": [
"plt.figure(figsize=(40,20))\n",
"\n",
"# Draw nodes\n",
"nx.draw_networkx_nodes(DG, positions, node_color=\"blue\", alpha=0.4)\n",
"# Draw labels\n",
"nx.draw_networkx_labels(DG, positions)\n",
"\n",
"# Draw edges\n",
"nx.draw_networkx_edges(DG, positions,\n",
" edge_color=\"green\", # edge colour\n",
" alpha=0.5, # edge transparency\n",
" connectionstyle='arc3,rad=0.2' # edge \"bendiness\"\n",
" );\n",
"# connectionstyle requires directed graph\n",
"# Maybe also as an alternative: https://github.com/beyondbeneath/bezier-curved-edges-networkx"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"One of the easiest ways to weight node sizes is by degree. We can obtain the degree of each node directly from the graph:"
]
},
{
"cell_type": "code",
"execution_count": 206,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'a': 2, 'b': 2, 'c': 3, 'd': 1}"
]
},
"execution_count": 206,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"d = dict(DG.degree)\n",
"d"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Scale the size by degree:"
]
},
{
"cell_type": "code",
"execution_count": 207,
"metadata": {},
"outputs": [],
"source": [
"sizes = [v * 500 for v in d.values()]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now render the graph with the size set:"
]
},
{
"cell_type": "code",
"execution_count": 208,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Draw nodes\n",
"nx.draw_networkx_nodes(DG, positions, node_size=sizes, node_color=\"blue\", alpha=0.4)\n",
"# Draw labels\n",
"nx.draw_networkx_labels(DG, positions)\n",
"\n",
"# Draw edges\n",
"nx.draw_networkx_edges(DG, positions, edge_color=\"green\", alpha=0.5, connectionstyle='arc3,rad=0.2');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can use alternative labels based on a lookup from each node."
]
},
{
"cell_type": "code",
"execution_count": 209,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>node</th>\n",
" <th>label</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>d</td>\n",
" <td>D</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>b</td>\n",
" <td>B</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>c</td>\n",
" <td>C</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>a</td>\n",
" <td>A</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" node label\n",
"0 d D\n",
"1 b B\n",
"2 c C\n",
"3 a A"
]
},
"execution_count": 209,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_labels = pd.DataFrame({'node':['d', 'b', 'c', 'a'],\n",
" 'label': ['D', 'B', 'C', 'A']})\n",
"df_labels"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We need to pass this as a `dict`:"
]
},
{
"cell_type": "code",
"execution_count": 210,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'d': 'D', 'b': 'B', 'c': 'C', 'a': 'A'}"
]
},
"execution_count": 210,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"labels_map = df_labels.set_index('node').to_dict()['label']\n",
"labels_map"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot using these labels:"
]
},
{
"cell_type": "code",
"execution_count": 211,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Draw nodes\n",
"nx.draw_networkx_nodes(DG, positions, node_size=sizes, node_color='blue', alpha=0.4)\n",
"# Draw labels using the labels_map labels\n",
"nx.draw_networkx_labels(DG, positions, labels = labels_map)\n",
"\n",
"# Draw edges\n",
"nx.draw_networkx_edges(DG, positions, edge_color=\"green\", alpha=0.5, connectionstyle='arc3,rad=0.2');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can colour nodes if we pass in a list of colours in the node order:"
]
},
{
"cell_type": "code",
"execution_count": 212,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"['red', 'blue', 'green', 'yellow']"
]
},
"execution_count": 212,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"node_colors = {'a':'red', 'b':'blue','c':'green','d':'yellow'}\n",
"\n",
"node_colour_map = []\n",
"for node in DG.nodes():\n",
" node_colour_map.append(node_colors[node])\n",
"node_colour_map "
]
},
{
"cell_type": "code",
"execution_count": 213,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Draw nodes\n",
"nx.draw_networkx_nodes(DG, positions, node_size=sizes, node_color=node_colour_map, alpha=0.4)\n",
"# Draw labels using the labels_map labels\n",
"nx.draw_networkx_labels(DG, positions, labels = labels_map)\n",
"\n",
"# Draw edges\n",
"nx.draw_networkx_edges(DG, positions, edge_color=\"green\", alpha=0.5, connectionstyle='arc3,rad=0.2');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The label layout is not ideal. We can offset the labels using an algorithm that will offset the label, and also try to prevent overlapping labels."
]
},
{
"cell_type": "code",
"execution_count": 214,
"metadata": {},
"outputs": [],
"source": [
"# TO DO - this uses the node value as the label; at the moment, I don't know if / how we can pass arbitrary label list\n",
"\n",
"#https://github.com/Phlya/adjustText\n",
"# Takes a long time to run\n",
"#%pip install adjustText\n",
"from adjustText import adjust_text\n",
"\n",
"def plot_adjusted_labels(DG, adjust=True, resizer=1):\n",
" \"\"\"Plot adjusted labels.\"\"\"\n",
" if adjust:\n",
" #fontsize=sizes[i]/10\n",
" texts = [plt.text(positions[k][0], positions[k][1], k, fontsize=sizes[i]*resizer) for i, k in enumerate(positions)]\n",
" adjust_text(texts, arrowprops=dict(arrowstyle=\"-\", color='k', lw=0.5)),\n",
" else:\n",
" nx.draw_networkx_labels(DG, positions)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*The following is not a great example!*"
]
},
{
"cell_type": "code",
"execution_count": 215,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Draw nodes\n",
"nx.draw_networkx_nodes(DG, positions, node_size=sizes, node_color=\"blue\", alpha=0.4)\n",
"\n",
"# Draw edges\n",
"nx.draw_networkx_edges(DG, positions, edge_color=\"green\", alpha=0.5, connectionstyle='arc3,rad=0.2');\n",
"\n",
"plot_adjusted_labels(DG, resizer=0.02)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Trying it with real data"
]
},
{
"cell_type": "code",
"execution_count": 216,
"metadata": {},
"outputs": [],
"source": [
"# TO DO"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Additional Tweaks\n",
"\n",
"In a large graph, we may wan to limit the plotting of nodes to nodes above a certain degree. The following with create a filtered graph containing just nodes with larg degree in the original graph:"
]
},
{
"cell_type": "code",
"execution_count": 217,
"metadata": {},
"outputs": [],
"source": [
"def filter_graph_by_degree(DG, mindegree=1):\n",
" \"\"\"Filter a directed graph to nodes with a minimum degree.\"\"\"\n",
" DF = nx.DiGraph() \n",
"\n",
" fedges = filter(lambda x: DG.degree()[x[0]] >= mindegree and DG.degree()[x[1]] >= mindegree, DG.edges())\n",
" DF.add_edges_from(fedges)\n",
"\n",
" # New network size\n",
" #DF.size()\n",
" return DF\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Example Influence Network from Wikipedia/DBpedia\n",
"\n",
"The following is an example influence network using data from DBpedia."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First some utility functions for running queries:"
]
},
{
"cell_type": "code",
"execution_count": 218,
"metadata": {},
"outputs": [],
"source": [
"#%pip install --upgrade SPARQLWrapper\n",
"#from linkeddataquery import SPARQLWrapper, dfResults, runQuery\n",
"# Import the necessary packages\n",
"from SPARQLWrapper import SPARQLWrapper, JSON\n",
"\n",
"# Add some helper functions\n",
"\n",
"# A function that will return the results of running a SPARQL query with \n",
"# a defined set of prefixes over a specified endpoint.\n",
"# It follows the same five-step process apart from creating the query, which \n",
"# is provided as an argument to the function.\n",
"def runQuery(endpoint, prefix, q):\n",
" ''' Run a SPARQL query with a declared prefix over a specified endpoint '''\n",
" sparql = SPARQLWrapper(endpoint)\n",
" sparql.setQuery(prefix+q) # concatenate the strings representing the prefixes and the query\n",
" sparql.setReturnFormat(JSON)\n",
" return sparql.query().convert()\n",
"\n",
"# Import pandas to provide facilities for creating a DataFrame to hold results\n",
"import pandas as pd\n",
"\n",
"# Function to convert query results into a DataFrame\n",
"# The results are assumed to be in JSON format and therefore the Python dictionary will have \n",
"# the results indexed by 'results' and then 'bindings'. \n",
"def dict2df(results):\n",
" ''' A function to flatten the SPARQL query results and return the column values '''\n",
" data = []\n",
" for result in results[\"results\"][\"bindings\"]:\n",
" tmp = {}\n",
" for el in result:\n",
" tmp[el] = result[el]['value']\n",
" data.append(tmp)\n",
"\n",
" df = pd.DataFrame(data)\n",
" return df\n",
"\n",
"# Function to run a query and return results in a DataFrame\n",
"def dfResults(endpoint, prefix, q):\n",
" ''' Generate a data frame containing the results of running\n",
" a SPARQL query with a declared prefix over a specified endpoint '''\n",
" return dict2df(runQuery(endpoint, prefix, q))\n",
"\n",
"# Print a limited number of results of a query\n",
"def printQuery(results, limit=''):\n",
" ''' Print the results from the SPARQL query '''\n",
" resdata = results[\"results\"][\"bindings\"]\n",
" if limit != '':\n",
" resdata = results[\"results\"][\"bindings\"][:limit]\n",
" for result in resdata:\n",
" for ans in result:\n",
" print('{0}: {1}'.format(ans, result[ans]['value']))\n",
" print()\n",
"\n",
"# Run a query and print out a limited number of results\n",
"def printRunQuery(endpoint, prefix, q, limit=''):\n",
" ''' Print the results from the SPARQL query '''\n",
" results = runQuery(endpoint, prefix, q)\n",
" printQuery(results, limit)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Define the endpoint:"
]
},
{
"cell_type": "code",
"execution_count": 219,
"metadata": {},
"outputs": [],
"source": [
"endpoint=\"http://dbpedia.org/sparql\"\n",
"sparql = SPARQLWrapper(endpoint)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Set up some handy prefixes:"
]
},
{
"cell_type": "code",
"execution_count": 220,
"metadata": {},
"outputs": [],
"source": [
"prefix='''\n",
"prefix gephi:<http://gephi.org/>\n",
"prefix foaf: <http://xmlns.com/foaf/0.1/>\n",
"prefix dct: <http://purl.org/dc/terms/>\n",
"PREFIX dbr: <http://dbpedia.org/resource/>\n",
"PREFIX dbo: <http://dbpedia.org/ontology/>\n",
"'''"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Create a query over the influence network of philosophers:"
]
},
{
"cell_type": "code",
"execution_count": 221,
"metadata": {},
"outputs": [],
"source": [
"q_philosophers = '''\n",
"SELECT ?philosopherName, ?influenceName WHERE {\n",
" ?philosopher a\n",
" <http://dbpedia.org/ontology/Philosopher> .\n",
" ?influence a\n",
" <http://dbpedia.org/ontology/Philosopher> .\n",
" ?philosopher <http://dbpedia.org/ontology/influencedBy> ?influence.\n",
" ?philosopher foaf:name ?philosopherName.\n",
" ?influence foaf:name ?influenceName.\n",
"} LIMIT 10000\n",
"'''"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Run the query:"
]
},
{
"cell_type": "code",
"execution_count": 222,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>philosopherName</th>\n",
" <th>influenceName</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>Alfred North Whitehead</td>\n",
" <td>Aristotle</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>Averroes</td>\n",
" <td>Aristotle</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>Bob Black</td>\n",
" <td>Max Stirner</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>Bob Black</td>\n",
" <td>John Zerzan</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>Chrysippus of Soli</td>\n",
" <td>Cleanthes</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3814</th>\n",
" <td>Georg Stenger</td>\n",
" <td>Heinrich Rombach</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3815</th>\n",
" <td>Murray Bookchin</td>\n",
" <td>Hans Jonas</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3816</th>\n",
" <td>Masahiro Morioka</td>\n",
" <td>Hans Jonas</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3817</th>\n",
" <td>Brand Blanshard</td>\n",
" <td>Clarence Irving Lewis</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3818</th>\n",
" <td>Don Ihde</td>\n",
" <td>Paul Ricœur</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>3819 rows × 2 columns</p>\n",
"</div>"
],
"text/plain": [
" philosopherName influenceName\n",
"0 Alfred North Whitehead Aristotle\n",
"1 Averroes Aristotle\n",
"2 Bob Black Max Stirner\n",
"3 Bob Black John Zerzan\n",
"4 Chrysippus of Soli Cleanthes\n",
"... ... ...\n",
"3814 Georg Stenger Heinrich Rombach\n",
"3815 Murray Bookchin Hans Jonas\n",
"3816 Masahiro Morioka Hans Jonas\n",
"3817 Brand Blanshard Clarence Irving Lewis\n",
"3818 Don Ihde Paul Ricœur\n",
"\n",
"[3819 rows x 2 columns]"
]
},
"execution_count": 222,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df2 = dfResults(endpoint, prefix, q_philosophers)\n",
"df2"
]
},
{
"cell_type": "code",
"execution_count": 223,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"74"
]
},
"execution_count": 223,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Create a graph from the dataframe\n",
"DG = nx.from_pandas_edgelist(df2, 'philosopherName', 'influenceName', create_using=nx.DiGraph())\n",
"\n",
"#The graph is quite large, so simplify it to just philosophers with significant degree\n",
"DF = filter_graph_by_degree(DG, 40) \n",
"\n",
"DF.size()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Render the significant influence network:"
]
},
{
"cell_type": "code",
"execution_count": 227,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
"\n",
" 0%| | 0/2000 [00:00<?, ?it/s]\u001b[A\u001b[A\n",
"\n",
"100%|██████████| 2000/2000 [00:00<00:00, 16203.23it/s]\u001b[A\u001b[A\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"BarnesHut Approximation took 0.03 seconds\n",
"Repulsion forces took 0.03 seconds\n",
"Gravitational forces took 0.01 seconds\n",
"Attraction forces took 0.00 seconds\n",
"AdjustSpeedAndApplyForces step took 0.02 seconds\n"
]
},
{
"data": {
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"text/plain": [
"<Figure size 1440x1440 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# TO DO - ipywidget thing to let us interact with useful ForceAtlas parameters\n",
"\n",
"forceatlas2 = ForceAtlas2(\n",
" # Behavior alternatives\n",
" outboundAttractionDistribution=True, # Dissuade hubs\n",
" linLogMode=False, # NOT IMPLEMENTED\n",
" adjustSizes=False, # Prevent overlap (NOT IMPLEMENTED)\n",
" edgeWeightInfluence=1.0,\n",
"\n",
" # Performance\n",
" jitterTolerance=1.0, # Tolerance\n",
" barnesHutOptimize=True,\n",
" barnesHutTheta=1.2,\n",
" multiThreaded=False, # NOT IMPLEMENTED\n",
"\n",
" # Tuning\n",
" scalingRatio=2.0,\n",
" strongGravityMode=False,\n",
" gravity=5.0,\n",
"\n",
" # Log\n",
" verbose=True)\n",
"\n",
"# Node sizing\n",
"d = dict(DF.degree)\n",
"sizes=[v * 1 for v in d.values()]\n",
"\n",
"# Node locations\n",
"positions = forceatlas2.forceatlas2_networkx_layout(DF, pos=None, iterations=2000)\n",
"\n",
"# Give ourselve a reasonable plot size to work with\n",
"plt.figure(figsize=(20,20))\n",
"\n",
"nx.draw_networkx_nodes(DF, positions, node_size=sizes, with_labels=True, node_color=\"blue\", alpha=0.4)\n",
"nx.draw_networkx_edges(DF, positions, edge_color=\"green\", alpha=0.2, connectionstyle='arc3,rad=0.2') \n",
"\n",
"# Position adjusted labels - this step may take some time\n",
"# Tweak the previous filter step to reduce graph size and speed things up\n",
"plot_adjusted_labels(DF, 0.3)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
matplotlib
pandas
networkx
fa2
SPARQLWrapper
adjustText
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