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Last active Mar 17, 2016
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Modularity Mini-Map

This is a preliminary version of a later part of my How to Create Good Network Data Visualization workshop that I'll be having at ForwardJS.

It uses the jLouvain lib to calculate the modularity of the network, and then uses those modules as their own graph in a separate mini-map of the network.

The position of the module node is based on the average of the position of its constituent nodes, with all singletons collapsed into one node.

Drag the regular nodes and watch the minimap follow them. Hover over the module nodes in the mini-map to see the corresponding member nodes.

source target weight
1 3 5
1 8 3
1 9 3
1 12 3
1 15 2
1 23 3
1 26 2
1 37 2
1 46 2
2 1 1
2 4 2
2 5 1
2 6 3
2 7 5
2 8 4
2 10 1
2 11 5
2 12 1
2 13 4
2 14 4
2 16 2
2 18 3
2 19 2
2 20 5
2 21 1
2 22 3
2 25 3
2 26 1
2 27 4
2 28 4
2 29 5
2 31 2
2 33 2
2 34 3
2 35 5
2 37 1
2 38 4
2 41 3
3 1 4
3 4 1
3 8 1
3 9 4
3 12 4
3 22 1
3 31 1
3 32 4
3 33 2
3 37 1
3 46 4
4 8 3
4 11 2
4 20 2
4 32 3
4 33 3
4 40 5
5 2 1
5 6 5
5 7 1
5 13 1
5 14 2
5 17 1
5 18 1
5 19 5
5 20 3
5 21 2
5 23 3
5 25 3
5 26 5
5 27 2
5 28 1
5 29 3
5 34 1
5 36 3
5 38 1
5 39 4
5 44 3
5 45 5
6 2 1
6 5 3
6 7 1
6 11 1
6 13 1
6 14 1
6 17 3
6 19 4
6 20 2
6 21 3
6 23 3
6 25 5
6 26 5
6 27 1
6 28 5
6 29 1
6 35 1
6 36 5
6 38 1
6 39 5
6 44 5
6 45 4
7 2 5
7 8 3
7 11 3
7 13 3
7 14 5
7 19 2
7 20 4
7 23 2
7 26 2
7 27 2
7 28 2
7 29 4
7 34 4
7 35 5
7 38 2
7 45 2
8 1 4
8 2 3
8 3 2
8 4 4
8 7 3
8 9 3
8 10 3
8 11 1
8 12 4
8 15 2
8 16 2
8 18 1
8 19 1
8 20 2
8 22 4
8 29 1
8 31 5
8 32 4
8 33 5
8 34 3
8 37 2
8 38 2
8 40 2
8 41 3
8 42 1
8 43 1
8 45 1
8 46 1
9 1 3
9 3 2
9 4 1
9 8 1
9 12 1
9 15 1
9 17 5
9 18 1
9 26 1
9 31 1
9 32 2
9 33 1
9 37 1
9 40 1
9 46 1
10 1 3
10 2 1
10 4 1
10 8 4
10 9 5
10 11 1
10 12 1
10 14 1
10 17 5
10 18 1
10 19 1
10 20 2
10 23 2
10 28 2
10 31 2
10 33 1
10 34 1
10 37 2
10 38 3
10 40 2
10 41 2
10 42 1
10 43 2
10 44 1
10 45 1
11 2 5
11 20 4
11 38 3
11 45 4
12 1 3
12 2 1
12 3 2
12 4 1
12 5 1
12 6 1
12 7 1
12 8 3
12 9 2
12 10 1
12 11 1
12 13 1
12 14 1
12 15 1
12 16 1
12 17 1
12 18 1
12 19 1
12 20 1
12 21 1
12 22 5
12 23 1
12 24 1
12 25 1
12 26 1
12 27 1
12 28 1
12 29 1
12 30 1
12 31 2
12 32 2
12 33 5
12 34 1
12 35 1
12 36 1
12 37 2
12 38 1
12 39 1
12 40 1
12 41 2
12 42 1
12 43 1
12 44 1
12 45 1
12 46 5
13 2 3
13 5 1
13 6 1
13 7 2
13 11 1
13 17 1
13 18 2
13 19 2
13 20 2
13 21 1
13 23 1
13 25 1
13 26 1
13 27 2
13 28 1
13 29 3
13 34 1
13 35 1
13 38 1
13 44 1
13 45 1
14 2 4
14 5 1
14 6 1
14 7 2
14 8 1
14 11 1
14 19 1
14 20 3
14 22 1
14 23 1
14 27 1
14 28 1
14 31 1
14 33 1
14 35 1
14 38 2
14 41 1
14 45 1
16 1 1
16 2 1
16 3 1
16 4 1
16 5 1
16 6 1
16 7 1
16 8 1
16 9 1
16 10 1
16 11 1
16 12 1
16 13 1
16 14 1
16 15 1
16 17 1
16 18 1
16 19 1
16 20 1
16 21 1
16 22 1
16 23 1
16 24 1
16 25 1
16 26 1
16 27 1
16 28 1
16 29 1
16 30 1
16 31 1
16 32 1
16 33 1
16 34 1
16 35 1
16 36 1
16 37 1
16 38 1
16 39 1
16 40 1
16 41 1
16 42 1
16 43 1
16 44 1
16 45 1
16 46 1
17 5 1
17 6 2
17 10 5
17 13 1
17 19 3
17 20 1
17 21 1
17 23 4
17 25 2
17 26 3
17 28 3
17 29 3
17 36 2
17 38 1
17 39 2
17 44 3
17 45 3
18 1 1
18 2 4
18 5 2
18 7 2
18 8 2
18 9 1
18 10 1
18 11 2
18 13 5
18 15 1
18 16 1
18 20 4
18 22 2
18 25 4
18 26 2
18 27 3
18 28 2
18 29 2
18 31 3
18 33 3
18 34 3
18 35 1
18 37 2
18 38 2
18 40 2
19 2 3
19 5 5
19 6 5
19 7 3
19 11 2
19 13 3
19 14 2
19 17 3
19 20 2
19 21 2
19 25 3
19 26 5
19 27 2
19 28 3
19 29 2
19 36 5
19 38 3
19 39 5
19 44 5
19 45 5
20 1 2
20 2 3
20 4 2
20 5 2
20 6 2
20 7 3
20 8 4
20 9 1
20 10 2
20 11 4
20 12 2
20 13 5
20 14 4
20 17 1
20 18 4
20 19 3
20 21 1
20 22 2
20 23 3
20 25 3
20 26 2
20 27 4
20 28 4
20 29 4
20 31 3
20 34 3
20 35 2
20 36 2
20 38 4
20 41 2
20 43 2
20 44 3
20 45 5
21 2 2
21 6 3
21 17 4
21 19 2
21 20 3
21 23 2
21 25 2
21 26 3
21 27 2
21 28 3
21 29 4
21 36 2
21 39 2
21 44 4
21 45 4
22 1 1
22 2 2
22 3 1
22 4 2
22 5 1
22 6 1
22 7 1
22 8 3
22 9 1
22 10 1
22 11 2
22 12 5
22 13 1
22 14 1
22 15 5
22 16 2
22 17 1
22 18 2
22 19 1
22 20 1
22 21 1
22 23 1
22 24 1
22 25 1
22 26 1
22 27 1
22 28 1
22 29 1
22 30 1
22 31 2
22 32 2
22 33 5
22 34 2
22 35 1
22 36 1
22 37 1
22 38 4
22 39 1
22 40 5
22 41 1
22 42 1
22 43 1
22 44 1
22 45 2
22 46 2
23 1 2
23 2 1
23 5 3
23 6 3
23 7 1
23 10 3
23 11 2
23 13 1
23 14 1
23 17 4
23 19 3
23 20 3
23 21 1
23 25 2
23 26 4
23 27 1
23 28 3
23 29 4
23 31 1
23 34 1
23 35 1
23 36 5
23 38 2
23 39 4
23 44 4
23 45 2
25 2 2
25 5 2
25 6 5
25 7 1
25 11 1
25 13 1
25 17 1
25 18 2
25 19 4
25 20 3
25 23 3
25 26 4
25 27 2
25 28 3
25 29 1
25 35 1
25 36 3
25 39 3
25 44 2
25 45 3
26 1 1
26 2 1
26 5 5
26 6 5
26 7 1
26 9 1
26 11 2
26 13 1
26 17 4
26 18 1
26 19 5
26 20 2
26 21 2
26 23 5
26 25 5
26 27 2
26 28 4
26 29 2
26 31 1
26 34 1
26 35 1
26 36 5
26 38 2
26 39 5
26 44 5
26 45 5
27 2 4
27 5 2
27 6 2
27 7 2
27 11 1
27 13 5
27 14 3
27 17 1
27 18 3
27 19 2
27 20 4
27 21 1
27 23 1
27 25 3
27 26 2
27 28 2
27 29 4
27 34 1
27 35 5
27 36 1
27 38 1
27 39 1
27 44 1
27 45 3
28 2 3
28 5 2
28 6 5
28 7 2
28 10 2
28 11 2
28 13 2
28 17 4
28 18 3
28 19 3
28 20 3
28 21 2
28 23 4
28 25 2
28 26 3
28 27 2
28 29 3
28 36 3
28 38 2
28 39 2
28 44 4
28 45 3
29 2 4
29 4 1
29 5 3
29 6 1
29 7 4
29 8 1
29 11 1
29 13 3
29 14 1
29 17 1
29 18 1
29 19 1
29 20 4
29 21 2
29 23 4
29 25 1
29 26 1
29 27 3
29 28 3
29 34 1
29 35 1
29 36 1
29 38 1
29 44 2
29 45 1
30 24 1
31 1 2
31 2 2
31 3 1
31 4 3
31 8 5
31 9 1
31 10 2
31 12 2
31 16 2
31 18 3
31 20 3
31 22 2
31 23 2
31 32 2
31 34 2
31 37 1
31 38 3
31 40 3
31 41 2
31 43 1
31 45 2
32 1 2
32 3 2
32 4 5
32 8 2
32 9 2
32 12 1
32 31 1
32 33 3
32 34 2
32 37 1
32 40 5
32 41 1
32 46 1
33 1 2
33 2 2
33 4 5
33 8 5
33 9 2
33 10 2
33 11 1
33 12 5
33 14 1
33 15 3
33 16 3
33 18 3
33 20 1
33 22 5
33 31 3
33 32 3
33 34 3
33 37 3
33 38 2
33 40 5
33 43 2
34 1 1
34 2 2
34 5 1
34 6 1
34 7 1
34 8 2
34 13 1
34 16 1
34 18 1
34 19 1
34 20 1
34 22 1
34 23 1
34 25 1
34 26 1
34 27 1
34 28 1
34 29 1
34 31 3
34 32 1
34 33 4
34 35 1
34 37 2
34 38 2
34 40 1
34 42 5
34 43 1
35 2 3
35 13 2
35 18 2
35 27 4
35 29 2
35 39 2
36 2 1
36 5 3
36 6 5
36 17 3
36 18 1
36 19 4
36 20 1
36 21 1
36 23 5
36 25 4
36 26 5
36 28 4
36 29 2
36 39 4
36 44 5
36 45 5
37 1 2
37 2 1
37 8 2
37 9 1
37 10 2
37 12 2
37 18 1
37 31 2
37 32 1
37 33 1
37 34 2
37 40 1
37 43 1
38 2 5
38 4 2
38 6 2
38 7 4
38 8 2
38 11 3
38 13 2
38 14 4
38 18 1
38 19 2
38 20 3
38 22 5
38 23 3
38 26 2
38 28 1
38 29 3
38 31 3
38 33 3
38 34 2
38 35 5
38 41 4
38 44 1
38 45 2
39 5 3
39 6 5
39 13 1
39 17 1
39 19 5
39 23 4
39 25 2
39 26 4
39 28 2
39 36 3
39 44 4
39 45 5
40 1 1
40 2 1
40 4 5
40 8 3
40 9 1
40 12 1
40 15 3
40 16 2
40 18 1
40 20 1
40 22 3
40 31 2
40 32 5
40 33 5
40 34 2
40 37 2
40 43 1
41 1 2
41 2 2
41 8 3
41 10 5
41 12 2
41 14 2
41 20 2
41 38 3
41 43 2
42 8 1
42 10 1
42 28 1
42 31 1
42 33 1
42 34 4
42 37 1
42 41 1
42 43 1
42 45 1
43 8 2
43 12 2
43 31 1
43 33 2
43 34 1
44 1 1
44 2 1
44 5 3
44 6 5
44 7 1
44 8 1
44 11 1
44 13 1
44 17 3
44 19 5
44 20 2
44 21 2
44 23 3
44 25 2
44 26 4
44 28 2
44 33 1
44 34 1
44 35 1
44 36 4
44 38 1
44 39 4
44 42 1
44 43 1
44 45 3
45 1 1
45 2 2
45 4 1
45 5 5
45 6 5
45 7 2
45 8 1
45 9 1
45 10 1
45 11 3
45 12 2
45 13 1
45 14 2
45 17 4
45 18 2
45 19 4
45 20 4
45 21 3
45 22 1
45 23 3
45 25 4
45 26 5
45 27 2
45 28 3
45 29 3
45 31 3
45 33 1
45 34 1
45 35 1
45 36 5
45 38 2
45 42 1
45 44 4
46 1 3
46 3 4
46 8 1
46 9 3
46 12 5
46 22 1
46 32 2
46 33 2
46 34 2
46 37 1
46 43 1
<html>
<head>
<title>Modularity Mini-Map</title>
<meta charset="utf-8" />
<script src="https://cdnjs.cloudflare.com/ajax/libs/d3/3.5.5/d3.min.js"></script>
<script src="jLouvain.js" type="text/JavaScript"></script>
</head>
<style>
svg {
height: 500px;
width: 500px;
border: 1px solid gray;
}
</style>
<body>
<div id="viz">
<svg class="main">
</svg>
</div>
</body>
<footer>
<script>
d3.csv("firm.csv",function(error,data) {createNetwork(data)});
function onlyUnique(value, index, self) {
return self.indexOf(value) === index;
}
function createNetwork(edgelist) {
var nodeHash = {};
var edgeHash = {};
var nodes = [];
var edges = [];
edgelist.forEach(function (edge) {
if (!nodeHash[edge.source]) {
nodeHash[edge.source] = {id: edge.source, label: edge.source};
nodes.push(nodeHash[edge.source]);
}
if (!nodeHash[edge.target]) {
nodeHash[edge.target] = {id: edge.target, label: edge.target};
nodes.push(nodeHash[edge.target]);
}
if (edge.weight >= 5) {
edges.push({id: nodeHash[edge.source].id + "-" + nodeHash[edge.target].id, source: nodeHash[edge.source], target: nodeHash[edge.target], weight: edge.weight});
}
});
createForceNetwork(nodes, edges);
}
function modularityCensus(nodes, edges, moduleHash) {
edges.forEach(function (edge) {
if (edge.source.module !== edge.target.module) {
edge.border = true;
}
else {
edge.border = false;
}
});
nodes.forEach(function (node) {
var theseEdges = edges.filter(function(d) {return d.source === node || d.target === node});
var theseSourceModules = theseEdges.map(function (d) {return d.source.module}).filter(onlyUnique);
var theseTargetModules = theseEdges.map(function (d) {return d.target.module}).filter(onlyUnique);
if (theseSourceModules.length > 1 || theseTargetModules.length > 1) {
node.border = true;
}
else {
node.border = false;
}
});
var modules = nodes.map(function (d) {return d.module})
.filter(onlyUnique)
.map(function (d) {return {id: d, members: []}});
var moduleEdges = [];
var singletons = {id: "singletons", members: []};
var moduleNodeHash = {};
modules.forEach(function (module) {
module.members = nodes.filter(function (d) {return d.module === module.id});
moduleNodeHash[module.id] = module;
if (module.members.length === 1) {
singletons.members.push(module.members[0]);
}
});
modules.push(singletons);
var moduleEdgeHash = {};
edges.forEach(function (edge) {
if (!moduleEdgeHash[moduleNodeHash[edge.source.module].id + "-" + moduleNodeHash[edge.target.module].id]) {
var moduleEdge = {source: moduleNodeHash[edge.source.module], target: moduleNodeHash[edge.target.module], weight: 1};
moduleEdgeHash[moduleNodeHash[edge.source.module].id + "-" + moduleNodeHash[edge.target.module].id] = moduleEdge;
moduleEdges.push(moduleEdge);
}
else {
moduleEdgeHash[moduleNodeHash[edge.source.module].id + "-" + moduleNodeHash[edge.target.module].id].weight += 1;
}
})
return {nodes: modules, edges: moduleEdges}
}
function createForceNetwork(nodes, edges) {
//create a network from an edgelist
var colors = d3.scale.category20();
var node_data = nodes.map(function (d) {return d.id});
var edge_data = edges.map(function (d) {return {source: d.source.id, target: d.target.id, weight: 1}; });
var community = jLouvain().nodes(node_data).edges(edge_data);
var result = community();
nodes.forEach(function (node) {
node.module = result[node.id]
});
var modularityGraph = modularityCensus(nodes, edges, result);
var mSVG = d3.select("#viz").append("svg")
.attr("class", "modularity")
.attr("height", 100)
.attr("width", 100)
.style("height", 100)
.style("width", 100)
.style("position", "absolute")
.style("left", 375)
.style("top", 375)
.style("background", "white");
mSVG.selectAll("line")
.data(modularityGraph.edges)
.enter()
.append("line")
.attr("class", "modularity")
.style("stroke-width", function (d) {return d.weight * 2})
.style("stroke", "black");
mSVG.selectAll("circle")
.data(modularityGraph.nodes.filter(function(d) {return d.members.length > 1}))
.enter()
.append("circle")
.attr("class", "modularity")
.attr("r", function (d) {return d.members.length})
.style("stroke", "black")
.style("stroke-width", "1px")
.style("fill", function (d) {return colors(d.id)})
.on("mouseover", moduleOver)
.on("mouseout", moduleOut);
var force = d3.layout.force().nodes(nodes).links(edges)
.size([500,500])
.charge(-300)
.gravity(0.2)
.on("tick", updateNetwork);
var edgeEnter = d3.select("svg.main").selectAll("g.edge")
.data(edges, function (d) {return d.id})
.enter()
.append("g")
.attr("class", "edge");
edgeEnter
.append("line")
.style("stroke-width", function (d) {return d.border ? "3px" : "1px"})
.style("stroke", "black")
.style("pointer-events", "none");
var nodeEnter = d3.select("svg.main").selectAll("g.node")
.data(nodes, function (d) {return d.id})
.enter()
.append("g")
.attr("class", "node")
.call(force.drag());
nodeEnter.append("circle")
.attr("r", 8)
.style("fill", function (d) {return colors(d.module)})
.style("stroke", "black")
.style("stroke-width", function (d) {return d.border ? "3px" : "1px"})
nodeEnter.append("text")
.style("text-anchor", "middle")
.attr("y", 3)
.style("stroke-width", "1px")
.style("stroke-opacity", 0.75)
.style("stroke", "white")
.style("font-size", "8px")
.text(function (d) {return d.id})
.style("pointer-events", "none")
nodeEnter.append("text")
.style("text-anchor", "middle")
.attr("y", 3)
.style("font-size", "8px")
.text(function (d) {return d.id})
.style("pointer-events", "none")
force.start();
function moduleOver(d) {
console.log("MODULE", d);
d3.select(this)
.style("stroke-width", "4px")
d3.select("svg.main").selectAll("circle")
.style("stroke-width", function (p) {return p.module == d.id ? "4px" : "1px"})
}
function moduleOut(d) {
d3.select(this)
.style("stroke-width", "1px")
d3.select("svg.main").selectAll("circle")
.style("stroke-width", "1px")
}
function updateNetwork() {
d3.select("svg.main").selectAll("line")
.attr("x1", function (d) {return d.source.x})
.attr("y1", function (d) {return d.source.y})
.attr("x2", function (d) {return d.target.x})
.attr("y2", function (d) {return d.target.y});
d3.select("svg.main").selectAll("g.node")
.attr("transform", function (d) {return "translate(" + d.x + "," + d.y + ")"});
d3.select("svg.modularity").selectAll("circle")
.each(function (d) {
var theseNodes = d.members;
var avgX = d3.mean(theseNodes, function (p) {return p.x});
var avgY = d3.mean(theseNodes, function (p) {return p.y});
d.x = avgX / 5;
d.y = avgY / 5;
})
.attr("transform", function (d) {return "translate(" + d.x + "," + d.y + ")"});
d3.select("svg.modularity").selectAll("line")
.attr("x1", function (d) {return d.source.x})
.attr("y1", function (d) {return d.source.y})
.attr("x2", function (d) {return d.target.x})
.attr("y2", function (d) {return d.target.y});
}
function updateModularityNetwork() {
}
}
</script>
</footer>
</html>
/*
Author: Corneliu S. (github.com/upphiminn)
This is a javascript implementation of the Louvain
community detection algorithm (http://arxiv.org/abs/0803.0476)
Based on https://bitbucket.org/taynaud/python-louvain/overview
*/
(function(){
jLouvain = function(){
//Constants
var __PASS_MAX = -1
var __MIN = 0.0000001
//Local vars
var original_graph_nodes;
var original_graph_edges;
var original_graph = {};
var partition_init;
//Helpers
function make_set(array){
var set = {};
array.forEach(function(d,i){
set[d] = true;
});
return Object.keys(set);
};
function obj_values(obj){
var vals = [];
for( var key in obj ) {
if ( obj.hasOwnProperty(key) ) {
vals.push(obj[key]);
}
}
return vals;
};
function get_degree_for_node(graph, node){
var neighbours = graph._assoc_mat[node] ? Object.keys(graph._assoc_mat[node]) : [];
var weight = 0;
neighbours.forEach(function(neighbour,i){
var value = graph._assoc_mat[node][neighbour] || 1;
if(node == neighbour)
value *= 2;
weight += value;
});
return weight;
};
function get_neighbours_of_node(graph, node){
if(typeof graph._assoc_mat[node] == 'undefined')
return [];
var neighbours = Object.keys(graph._assoc_mat[node]);
return neighbours;
}
function get_edge_weight(graph, node1, node2){
return graph._assoc_mat[node1] ? graph._assoc_mat[node1][node2] : undefined;
}
function get_graph_size(graph){
var size = 0;
graph.edges.forEach(function(edge){
size += edge.weight;
});
return size;
}
function add_edge_to_graph(graph, edge){
update_assoc_mat(graph, edge);
var edge_index = graph.edges.map(function(d){
return d.source+'_'+d.target;
}).indexOf(edge.source+'_'+edge.target);
if(edge_index != -1)
graph.edges[edge_index].weight = edge.weight;
else
graph.edges.push(edge);
}
function make_assoc_mat(edge_list){
var mat = {};
edge_list.forEach(function(edge, i){
mat[edge.source] = mat[edge.source] || {};
mat[edge.source][edge.target] = edge.weight;
mat[edge.target] = mat[edge.target] || {};
mat[edge.target][edge.source] = edge.weight;
});
return mat;
}
function update_assoc_mat(graph, edge){
graph._assoc_mat[edge.source] = graph._assoc_mat[edge.source] || {};
graph._assoc_mat[edge.source][edge.target] = edge.weight;
graph._assoc_mat[edge.target] = graph._assoc_mat[edge.target] || {};
graph._assoc_mat[edge.target][edge.source] = edge.weight;
}
function clone(obj){
if(obj == null || typeof(obj) != 'object')
return obj;
var temp = obj.constructor();
for(var key in obj)
temp[key] = clone(obj[key]);
return temp;
}
//Core-Algorithm Related
function init_status(graph, status, part){
status['nodes_to_com'] = {};
status['total_weight'] = 0;
status['internals'] = {};
status['degrees'] = {};
status['gdegrees'] = {};
status['loops'] = {};
status['total_weight'] = get_graph_size(graph);
if(typeof part == 'undefined'){
graph.nodes.forEach(function(node,i){
status.nodes_to_com[node] = i;
var deg = get_degree_for_node(graph, node);
if (deg < 0)
throw 'Bad graph type, use positive weights!';
status.degrees[i] = deg;
status.gdegrees[node] = deg;
status.loops[node] = get_edge_weight(graph, node, node) || 0;
status.internals[i] = status.loops[node];
});
}else{
graph.nodes.forEach(function(node,i){
var com = part[node];
status.nodes_to_com[node] = com;
var deg = get_degree_for_node(graph, node);
status.degrees[com] = (status.degrees[com] || 0) + deg;
status.gdegrees[node] = deg;
var inc = 0.0;
var neighbours = get_neighbours_of_node(graph, node);
neighbours.forEach(function(neighbour, i){
var weight = graph._assoc_mat[node][neighbour];
if (weight <= 0){
throw "Bad graph type, use positive weights";
}
if(part[neighbour] == com){
if (neighbour == node){
inc += weight;
}else{
inc += weight/2.0;
}
}
});
status.internals[com] = (status.internals[com] || 0) + inc;
});
}
}
function __modularity(status){
var links = status.total_weight;
var result = 0.0;
var communities = make_set(obj_values(status.nodes_to_com));
communities.forEach(function(com,i){
var in_degree = status.internals[com] || 0 ;
var degree = status.degrees[com] || 0 ;
if(links > 0){
result = result + in_degree / links - Math.pow((degree / (2.0*links)), 2);
}
});
return result;
}
function __neighcom(node, graph, status){
// compute the communities in the neighb. of the node, with the graph given by
// node_to_com
var weights = {};
var neighboorhood = get_neighbours_of_node(graph, node);//make iterable;
neighboorhood.forEach(function(neighbour, i){
if(neighbour != node){
var weight = graph._assoc_mat[node][neighbour] || 1;
var neighbourcom = status.nodes_to_com[neighbour];
weights[neighbourcom] = (weights[neighbourcom] || 0) + weight;
}
});
return weights;
}
function __insert(node, com, weight, status){
//insert node into com and modify status
status.nodes_to_com[node] = +com;
status.degrees[com] = (status.degrees[com] || 0) + (status.gdegrees[node]||0);
status.internals[com] = (status.internals[com] || 0) + weight + (status.loops[node]||0);
}
function __remove(node, com, weight, status){
//remove node from com and modify status
status.degrees[com] = ((status.degrees[com] || 0) - (status.gdegrees[node] || 0));
status.internals[com] = ((status.internals[com] || 0) - weight -(status.loops[node] ||0));
status.nodes_to_com[node] = -1;
}
function __renumber(dict){
var count = 0;
var ret = clone(dict); //deep copy :)
var new_values = {};
var dict_keys = Object.keys(dict);
dict_keys.forEach(function(key){
var value = dict[key];
var new_value = typeof new_values[value] =='undefined' ? -1 : new_values[value];
if(new_value == -1){
new_values[value] = count;
new_value = count;
count = count + 1;
}
ret[key] = new_value;
});
return ret;
}
function __one_level(graph, status){
//Compute one level of the Communities Dendogram.
var modif = true,
nb_pass_done = 0,
cur_mod = __modularity(status),
new_mod = cur_mod;
while (modif && nb_pass_done != __PASS_MAX){
cur_mod = new_mod;
modif = false;
nb_pass_done += 1
graph.nodes.forEach(function(node,i){
var com_node = status.nodes_to_com[node];
var degc_totw = (status.gdegrees[node] || 0) / (status.total_weight * 2.0);
var neigh_communities = __neighcom(node, graph, status);
__remove(node, com_node, (neigh_communities[com_node] || 0.0), status);
var best_com = com_node;
var best_increase = 0;
var neigh_communities_entries = Object.keys(neigh_communities);//make iterable;
neigh_communities_entries.forEach(function(com,i){
var incr = neigh_communities[com] - (status.degrees[com] || 0.0) * degc_totw;
if (incr > best_increase){
best_increase = incr;
best_com = com;
}
});
__insert(node, best_com, neigh_communities[best_com] || 0, status);
if(best_com != com_node)
modif = true;
});
new_mod = __modularity(status);
if(new_mod - cur_mod < __MIN)
break;
}
}
function induced_graph(partition, graph){
var ret = {nodes:[], edges:[], _assoc_mat: {}};
var w_prec, weight;
//add nodes from partition values
var partition_values = obj_values(partition);
ret.nodes = ret.nodes.concat(make_set(partition_values)); //make set
graph.edges.forEach(function(edge,i){
weight = edge.weight || 1;
var com1 = partition[edge.source];
var com2 = partition[edge.target];
w_prec = (get_edge_weight(ret, com1, com2) || 0);
var new_weight = (w_prec + weight);
add_edge_to_graph(ret, {'source': com1, 'target': com2, 'weight': new_weight});
});
return ret;
}
function partition_at_level(dendogram, level){
var partition = clone(dendogram[0]);
for(var i = 1; i < level + 1; i++ )
Object.keys(partition).forEach(function(key,j){
var node = key;
var com = partition[key];
partition[node] = dendogram[i][com];
});
return partition;
}
function generate_dendogram(graph, part_init){
if(graph.edges.length == 0){
var part = {};
graph.nodes.forEach(function(node,i){
part[node] = node;
});
return part;
}
var status = {};
init_status(original_graph, status, part_init);
var mod = __modularity(status);
var status_list = [];
__one_level(original_graph, status);
var new_mod = __modularity(status);
var partition = __renumber(status.nodes_to_com);
status_list.push(partition);
mod = new_mod;
var current_graph = induced_graph(partition, original_graph);
init_status(current_graph, status);
while (true){
__one_level(current_graph, status);
new_mod = __modularity(status);
if(new_mod - mod < __MIN)
break;
partition = __renumber(status.nodes_to_com);
status_list.push(partition);
mod = new_mod;
current_graph = induced_graph(partition, current_graph);
init_status(current_graph, status);
}
return status_list;
}
var core = function(){
var status = {};
var dendogram = generate_dendogram(original_graph, partition_init);
return partition_at_level(dendogram, dendogram.length - 1);
};
core.nodes = function(nds){
if(arguments.length > 0){
original_graph_nodes = nds;
}
return core;
};
core.edges = function(edgs){
if(typeof original_graph_nodes == 'undefined')
throw 'Please provide the graph nodes first!';
if(arguments.length > 0){
original_graph_edges = edgs;
var assoc_mat = make_assoc_mat(edgs);
original_graph = { 'nodes': original_graph_nodes,
'edges': original_graph_edges,
'_assoc_mat': assoc_mat };
}
return core;
};
core.partition_init = function(prttn){
if(arguments.length > 0){
partition_init = prttn;
}
return core;
};
return core;
}
})();
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