{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Kamada-Kawai layout in igraph, graphviz and networkx illustrated by Plotly plots of the Coauthorship Network of Scientists ##"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this Jupyter Notebook we plot the graph representing the Couauthorship Network of Scientists, with Kamada-Kawada (KK) layout, implemented in the Python packages, `igraph`, `py/graphviz`, respectively `networkx`. The idea of this comparison was suggested by a conversation on [twitter](https://twitter.com/Graphviz/status/917801424586706944)."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
" \n",
" "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import plotly.graph_objects as go\n",
"from plotly.offline import download_plotlyjs, init_notebook_mode, iplot\n",
"init_notebook_mode(connected=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Define data for the Plotly plot:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"def get_plotly_data(E, coords):\n",
" # E is the list of tuples representing the graph edges\n",
" # coords is the list of node coordinates \n",
" N = len(coords)\n",
" Xnodes = [coords[k][0] for k in range(N)] # x-coordinates of nodes\n",
" Ynodes = [coords[k][1] for k in range(N)] # y-coordnates of nodes\n",
"\n",
" Xedges = []\n",
" Yedges = []\n",
" for e in E:\n",
" Xedges.extend([coords[e[0]][0], coords[e[1]][0], None])\n",
" Yedges.extend([coords[e[0]][1], coords[e[1]][1], None])\n",
" \n",
" return Xnodes, Ynodes, Xedges, Yedges \n",
"\n",
"def get_node_trace(x, y, labels, marker_size=5, marker_color='#6959CD', \n",
" line_color='rgb(50,50,50)', line_width=0.5):\n",
" return go.Scatter(\n",
" x=x,\n",
" y=y,\n",
" mode='markers',\n",
" marker=dict(\n",
" size=marker_size, \n",
" color=marker_color,\n",
" line=dict(color=line_color, width=line_width)\n",
" ),\n",
" text=labels,\n",
" hoverinfo='text'\n",
" )\n",
"\n",
"def get_edge_trace(x, y, line_color='rgb(210,210,210)', line_width=1):\n",
" return go.Scatter(\n",
" x=x,\n",
" y=y,\n",
" mode='lines',\n",
" line_color=line_color,\n",
" line_width=line_width,\n",
" hoverinfo='none'\n",
" )\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Set the plot layout (don't confuse with graph layout!!!):"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"title1= \"Coauthorship network\"+\\\n",
" \"
Data source: [1]\" \n",
"width = 800\n",
"height = 800\n",
"layout=go.Layout(\n",
" title_text=title1,\n",
" title_x=0.5,\n",
" font_size=12,\n",
" showlegend=False,\n",
" width=width,\n",
" height=height,\n",
" xaxis_visible=False,\n",
" yaxis_visible=False, \n",
" template='none', \n",
" hovermode='closest',\n",
" paper_bgcolor='#eeeeee', \n",
" annotations=[dict(showarrow=False, \n",
" text='igraph Kamada-Kawai layout', \n",
" xref='paper', \n",
" yref='paper', \n",
" x=0, \n",
" y=-0.1, \n",
" xanchor='left', \n",
" yanchor='bottom', \n",
" font=dict(size=14) \n",
" )\n",
" ] \n",
" )\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Coauthorship network as an instance of the igraph.Graph class ###"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'0.7.1'"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import igraph as ig\n",
"ig.__version__"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The graph data are read from a `gml` file, posted at [UC Irvine Network Data Repository](http://networkdata.ics.uci.edu/data/netscience/netscience.gml):"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"G = ig.Graph.Read_GML('netscience.gml')\n",
"labels = list(G.vs['label'])\n",
"N = len(labels)\n",
"V = range(N)\n",
"E = [e.tuple for e in G.es]# list of edges as tuples of node indices"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Get node positions according to Kamada-Kawai graph layout:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"ig_position = G.layout('kk')"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"Xn, Yn, Xe, Ye = get_plotly_data(E, ig_position)\n",
"trace1 = get_edge_trace(Xe, Ye)\n",
"trace2 = get_node_trace(Xn, Yn, labels)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"linkText": "Export to chart-studio.plotly.com/",
"plotlyServerURL": "https://chart-studio.plotly.com/",
"showLink": false
},
"data": [
{
"hoverinfo": "none",
"line": {
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