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Created November 19, 2018 03:15
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d3-force-reuse speed comparison
Raw
.block
license: gpl-3.0
height: 600
Raw
README.md

A performance comparison of d3.forceManyBodyReuse() in d3-force-reuse and the standard d3.forceManyBody() in d3-force. d3.forceManyBodyReuse() tends to perform faster than d3.forceManyBody(), often with a total runtime of about 70% of that in d3.forceManyBody(). It achieves this performance improvement by reusing Barnes-Hut approximations instead of calculating a new one at each tick of the algorithm. See d3-force-reuse and the research paper for more details:

Robert Gove. "It Pays to Be Lazy: Reusing Force Approximations to Compute Better Graph Layouts Faster." Proceedings of Forum Media Technology, 2018. Preprint PDF.

Contains code from Mike Bostock's force-directed layout example and my KDE heatmap example.

Raw
d3-force-reuse.js
// Copyright 2018 Two Six Labs, LLC. v1.0.0 d3-force-reuse https://github.com/twosixlabs/d3-force-reuse/
(function (global, factory) {
typeof exports === 'object' && typeof module !== 'undefined' ? factory(exports, require('d3-quadtree')) :
typeof define === 'function' && define.amd ? define(['exports', 'd3-quadtree'], factory) :
(factory((global.d3 = global.d3 || {}),global.d3));
}(this, (function (exports,d3Quadtree) { 'use strict';
var constant = function(x) {
return function() {
return x;
};
};
var manyBodyReuse = function() {
var nodes,
node,
alpha,
iter = 0,
tree,
updateClosure,
updateBH,
strength = constant(-30),
strengths,
distanceMin2 = 1,
distanceMax2 = Infinity,
theta2 = 0.81;
function jiggle() {
return (Math.random() - 0.5) * 1e-6;
}
function x(d) {
return d.x;
}
function y(d) {
return d.y;
}
updateClosure = function () {
return function (i) {
if (i % 13 === 0) {
return true;
} else {
return false;
}
};
};
function force(_) {
var i, n = nodes.length;
if (!tree || updateBH(iter, nodes)) {
tree = d3Quadtree.quadtree(nodes, x, y).visitAfter(accumulate);
nodes.update.push(iter);
}
for (alpha = _, i = 0; i < n; ++i) node = nodes[i], tree.visit(apply);
++iter;
}
function initialize() {
if (!nodes) return;
iter = 0;
nodes.update = [];
updateBH = updateClosure();
tree = null;
var i, n = nodes.length, node;
strengths = new Array(n);
for (i = 0; i < n; ++i) node = nodes[i], strengths[node.index] = +strength(node, i, nodes);
}
function accumulate(quad) {
var strength = 0, q, c, weight = 0, x, y, i;
// For internal nodes, accumulate forces from child quadrants.
if (quad.length) {
for (x = y = i = 0; i < 4; ++i) {
if ((q = quad[i]) && (c = Math.abs(q.value))) {
strength += q.value, weight += c, x += c * q.x, y += c * q.y;
}
}
quad.x = x / weight;
quad.y = y / weight;
}
// For leaf nodes, accumulate forces from coincident quadrants.
else {
q = quad;
q.x = q.data.x;
q.y = q.data.y;
do strength += strengths[q.data.index];
while (q = q.next);
}
quad.value = strength;
}
function apply(quad, x1, _, x2) {
if (!quad.value) return true;
var x = quad.x - node.x,
y = quad.y - node.y,
w = x2 - x1,
l = x * x + y * y;
// Apply the Barnes-Hut approximation if possible.
// Limit forces for very close nodes; randomize direction if coincident.
if (w * w / theta2 < l) {
if (l < distanceMax2) {
if (x === 0) x = jiggle(), l += x * x;
if (y === 0) y = jiggle(), l += y * y;
if (l < distanceMin2) l = Math.sqrt(distanceMin2 * l);
node.vx += x * quad.value * alpha / l;
node.vy += y * quad.value * alpha / l;
}
return true;
}
// Otherwise, process points directly.
else if (quad.length || l >= distanceMax2) return;
// Limit forces for very close nodes; randomize direction if coincident.
if (quad.data !== node || quad.next) {
if (x === 0) x = jiggle(), l += x * x;
if (y === 0) y = jiggle(), l += y * y;
if (l < distanceMin2) l = Math.sqrt(distanceMin2 * l);
}
do if (quad.data !== node) {
// Use the coordinates of the node and not the quad region.
x = quad.data.x - node.x;
y = quad.data.y - node.y;
l = x * x + y * y;
w = strengths[quad.data.index] * alpha / l;
node.vx += x * w;
node.vy += y * w;
} while (quad = quad.next);
}
force.initialize = function(_) {
nodes = _;
initialize();
};
force.strength = function(_) {
return arguments.length ? (strength = typeof _ === "function" ? _ : constant(+_), initialize(), force) : strength;
};
force.distanceMin = function(_) {
return arguments.length ? (distanceMin2 = _ * _, force) : Math.sqrt(distanceMin2);
};
force.distanceMax = function(_) {
return arguments.length ? (distanceMax2 = _ * _, force) : Math.sqrt(distanceMax2);
};
force.theta = function(_) {
return arguments.length ? (theta2 = _ * _, force) : Math.sqrt(theta2);
};
force.update = function(_) {
return arguments.length ? (updateClosure = _, updateBH = updateClosure(), force) : updateClosure;
};
return force;
};
exports.forceManyBodyReuse = manyBodyReuse;
Object.defineProperty(exports, '__esModule', { value: true });
})));
Raw
index.html
<!DOCTYPE html>
<meta charset="utf-8">
<style>
svg {
overflow: visible;
}
text.runtime {
text-anchor: middle;
font-family: sans-serif;
font-weight: bold;
fill: #888;
font-size: 72px;
}
.links line {
stroke: #999;
stroke-opacity: 0.6;
}
.nodes circle {
stroke: #fff;
stroke-width: 1.5px;
}
</style>
<svg id="d3-force" width="400" height="400"></svg>
<svg id="d3-force-reuse" width="400" height="400"></svg>
<script src="https://d3js.org/d3.v4.min.js"></script>
<script src="d3-force-reuse.js"></script>
<script>
var svg = d3.select("#d3-force").attr('transform', 'scale(0.75)'),
width = +svg.attr("width"),
height = +svg.attr("height");
var svgReuse = d3.select("#d3-force-reuse").attr('transform', 'scale(0.75)');
var runtime = svg.append('text')
.attr('class', 'runtime')
.attr('x', width/2)
.attr('y', height/4);
var runtimeReuse = svgReuse.append('text')
.attr('class', 'runtime')
.attr('x', width/2)
.attr('y', height/4);
var dispatch = d3.dispatch('tickend');
var computeTimes = [
{name: 'd3-force', values: []},
{name: 'd3-force-reuse', values: []}
];
var chartMargin = {top: 10, right: 20, bottom: 30, left: 50};
var chartWidth = 800 - chartMargin.left - chartMargin.right;
var chartHeight = 175 - chartMargin.top - chartMargin.bottom;
var x = d3.scaleLinear().rangeRound([0, chartWidth]);
var y = d3.scaleLinear().rangeRound([chartHeight, 0]);
var chartSvg = d3.select("body").append("svg")
.attr("width", chartWidth + chartMargin.left + chartMargin.right)
.attr("height", chartHeight + chartMargin.top + chartMargin.bottom)
.append('g')
.attr("transform", "translate(" + chartMargin.left + "," + chartMargin.top + ")");
var line = d3.line()
.x(function (d) { return x(d.i); })
.y(function (d) { return y(d.time); });
var simulation = d3.forceSimulation()
.force("link", d3.forceLink().id(function(d) { return d.id; }))
.force("charge", d3.forceManyBody())
.force("center", d3.forceCenter(width / 2, height / 2));
var simulationReuse = d3.forceSimulation()
.force("link", d3.forceLink().id(function(d) { return d.id; }))
.force("charge", d3.forceManyBodyReuse())
.force("center", d3.forceCenter(width / 2, height / 2));
d3.json("miserables.json", function(error, forceGraph) {
if (error) throw error;
d3.json("miserables.json", function(errorReuse, forceReuseGraph) {
if (errorReuse) throw errorReuse;
// Setup d3-force
var link = svg.append("g")
.attr("class", "links")
.selectAll("line")
.data(forceGraph.links)
.enter().append("line")
.attr("stroke-width", function(d) { return Math.sqrt(d.value); });
var node = svg.append("g")
.attr("class", "nodes")
.selectAll("circle")
.data(forceGraph.nodes)
.enter().append("circle")
.attr("r", 5)
.attr("fill", 'steelblue');
node.append("title")
.text(function(d) { return d.id; });
simulation
.nodes(forceGraph.nodes)
.stop();
simulation.force("link")
.links(forceGraph.links);
// Setup d3-force-reuse
var linkReuse = svgReuse.append("g")
.attr("class", "links")
.selectAll("line")
.data(forceReuseGraph.links)
.enter().append("line")
.attr("stroke-width", function(d) { return Math.sqrt(d.value); });
var nodeReuse = svgReuse.append("g")
.attr("class", "nodes")
.selectAll("circle")
.data(forceReuseGraph.nodes)
.enter().append("circle")
.attr("r", 5)
.attr("fill", 'maroon');
nodeReuse.append("title")
.text(function(d) { return d.id; });
simulationReuse
.nodes(forceReuseGraph.nodes)
.stop();
simulationReuse.force("link")
.links(forceReuseGraph.links);
dispatch.on('tickend', function () {
drawGraph();
updateChart();
});
// Compute 300 ticks of each layout.
var i = 0;
var stepper = d3.timer(function () {
var prevTime = i > 0 ? computeTimes[0].values[i-1].time : 0;
var startTime = new Date();
simulation.tick();
var totalTime = new Date() - startTime;
computeTimes[0].values.push({i: i, time: totalTime + prevTime});
prevTime = i > 0 ? computeTimes[1].values[i-1].time : 0;
startTime = new Date();
simulationReuse.tick();
var totalTime = new Date() - startTime;
computeTimes[1].values.push({i: i, time: totalTime + prevTime});
dispatch.call('tickend', simulation);
++i;
if (i >= 300) {
stepper.stop();
}
});
function updateChart () {
var forceTime = computeTimes[0].values[computeTimes[0].values.length - 1].time;
var forceReuseTime = computeTimes[1].values[computeTimes[1].values.length - 1].time;
var percentTime = Math.round(100 * forceReuseTime / forceTime);
runtime.text(forceTime + ' ms');
runtimeReuse.text(forceReuseTime + ' ms (' + percentTime + '%)');
x.domain([0, computeTimes[0].values.length]);
y.domain([0, d3.max(computeTimes, function (d) { return d3.max(d.values.map(function(v) { return v.time; })); })]);
chartSvg.selectAll('g').remove();
chartSvg.append('g')
.attr('transform', 'translate(0,' + chartHeight + ')')
.call(d3.axisBottom(x))
.append("text")
.attr("fill", "#000")
.attr('transform', 'translate(' + 32 + ',' + 0 + ')')
.attr("y", 19)
.attr("dy", "0.71em")
.attr("text-anchor", "begin")
.text("Iteration");
chartSvg.append('g')
.call(d3.axisLeft(y))
.append("text")
.attr("fill", "#000")
.attr("transform", "rotate(-90)")
.attr("y", 6)
.attr("dy", "0.71em")
.attr("text-anchor", "end")
.text("Compute time (ms)");
var lineG = chartSvg.selectAll('g.line-g')
.data(computeTimes)
.enter().append('g')
.attr('class', 'line-g');
lineG.append('path')
.attr("fill", "none")
.attr("stroke", function (d) { return d.name === 'd3-force' ? 'steelblue' : 'maroon'; })
.attr("stroke-linejoin", "round")
.attr("stroke-linecap", "round")
.attr("stroke-width", 1.5)
.attr("d", function (d) { return line(d.values); });
lineG.append("text")
.datum(function(d) { return {name: d.name, value: d.values[d.values.length - 1]}; })
.attr("transform", function(d) { return "translate(" + x(d.value.i) + "," + y(d.value.time) + ")"; })
.attr("x", 3)
.attr('y', -6)
.attr("dy", "0.35em")
.attr('text-anchor', 'end')
.style("font", "10px sans-serif")
.text(function(d) { return d.name; });
}
function drawGraph () {
link
.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; });
node
.attr("cx", function(d) { return d.x; })
.attr("cy", function(d) { return d.y; });
linkReuse
.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; });
nodeReuse
.attr("cx", function(d) { return d.x; })
.attr("cy", function(d) { return d.y; });
}
});
});
</script>
Raw
miserables.json
{
"nodes": [
{"id": "Myriel", "group": 1},
{"id": "Napoleon", "group": 1},
{"id": "Mlle.Baptistine", "group": 1},
{"id": "Mme.Magloire", "group": 1},
{"id": "CountessdeLo", "group": 1},
{"id": "Geborand", "group": 1},
{"id": "Champtercier", "group": 1},
{"id": "Cravatte", "group": 1},
{"id": "Count", "group": 1},
{"id": "OldMan", "group": 1},
{"id": "Labarre", "group": 2},
{"id": "Valjean", "group": 2},
{"id": "Marguerite", "group": 3},
{"id": "Mme.deR", "group": 2},
{"id": "Isabeau", "group": 2},
{"id": "Gervais", "group": 2},
{"id": "Tholomyes", "group": 3},
{"id": "Listolier", "group": 3},
{"id": "Fameuil", "group": 3},
{"id": "Blacheville", "group": 3},
{"id": "Favourite", "group": 3},
{"id": "Dahlia", "group": 3},
{"id": "Zephine", "group": 3},
{"id": "Fantine", "group": 3},
{"id": "Mme.Thenardier", "group": 4},
{"id": "Thenardier", "group": 4},
{"id": "Cosette", "group": 5},
{"id": "Javert", "group": 4},
{"id": "Fauchelevent", "group": 0},
{"id": "Bamatabois", "group": 2},
{"id": "Perpetue", "group": 3},
{"id": "Simplice", "group": 2},
{"id": "Scaufflaire", "group": 2},
{"id": "Woman1", "group": 2},
{"id": "Judge", "group": 2},
{"id": "Champmathieu", "group": 2},
{"id": "Brevet", "group": 2},
{"id": "Chenildieu", "group": 2},
{"id": "Cochepaille", "group": 2},
{"id": "Pontmercy", "group": 4},
{"id": "Boulatruelle", "group": 6},
{"id": "Eponine", "group": 4},
{"id": "Anzelma", "group": 4},
{"id": "Woman2", "group": 5},
{"id": "MotherInnocent", "group": 0},
{"id": "Gribier", "group": 0},
{"id": "Jondrette", "group": 7},
{"id": "Mme.Burgon", "group": 7},
{"id": "Gavroche", "group": 8},
{"id": "Gillenormand", "group": 5},
{"id": "Magnon", "group": 5},
{"id": "Mlle.Gillenormand", "group": 5},
{"id": "Mme.Pontmercy", "group": 5},
{"id": "Mlle.Vaubois", "group": 5},
{"id": "Lt.Gillenormand", "group": 5},
{"id": "Marius", "group": 8},
{"id": "BaronessT", "group": 5},
{"id": "Mabeuf", "group": 8},
{"id": "Enjolras", "group": 8},
{"id": "Combeferre", "group": 8},
{"id": "Prouvaire", "group": 8},
{"id": "Feuilly", "group": 8},
{"id": "Courfeyrac", "group": 8},
{"id": "Bahorel", "group": 8},
{"id": "Bossuet", "group": 8},
{"id": "Joly", "group": 8},
{"id": "Grantaire", "group": 8},
{"id": "MotherPlutarch", "group": 9},
{"id": "Gueulemer", "group": 4},
{"id": "Babet", "group": 4},
{"id": "Claquesous", "group": 4},
{"id": "Montparnasse", "group": 4},
{"id": "Toussaint", "group": 5},
{"id": "Child1", "group": 10},
{"id": "Child2", "group": 10},
{"id": "Brujon", "group": 4},
{"id": "Mme.Hucheloup", "group": 8}
],
"links": [
{"source": "Napoleon", "target": "Myriel", "value": 1},
{"source": "Mlle.Baptistine", "target": "Myriel", "value": 8},
{"source": "Mme.Magloire", "target": "Myriel", "value": 10},
{"source": "Mme.Magloire", "target": "Mlle.Baptistine", "value": 6},
{"source": "CountessdeLo", "target": "Myriel", "value": 1},
{"source": "Geborand", "target": "Myriel", "value": 1},
{"source": "Champtercier", "target": "Myriel", "value": 1},
{"source": "Cravatte", "target": "Myriel", "value": 1},
{"source": "Count", "target": "Myriel", "value": 2},
{"source": "OldMan", "target": "Myriel", "value": 1},
{"source": "Valjean", "target": "Labarre", "value": 1},
{"source": "Valjean", "target": "Mme.Magloire", "value": 3},
{"source": "Valjean", "target": "Mlle.Baptistine", "value": 3},
{"source": "Valjean", "target": "Myriel", "value": 5},
{"source": "Marguerite", "target": "Valjean", "value": 1},
{"source": "Mme.deR", "target": "Valjean", "value": 1},
{"source": "Isabeau", "target": "Valjean", "value": 1},
{"source": "Gervais", "target": "Valjean", "value": 1},
{"source": "Listolier", "target": "Tholomyes", "value": 4},
{"source": "Fameuil", "target": "Tholomyes", "value": 4},
{"source": "Fameuil", "target": "Listolier", "value": 4},
{"source": "Blacheville", "target": "Tholomyes", "value": 4},
{"source": "Blacheville", "target": "Listolier", "value": 4},
{"source": "Blacheville", "target": "Fameuil", "value": 4},
{"source": "Favourite", "target": "Tholomyes", "value": 3},
{"source": "Favourite", "target": "Listolier", "value": 3},
{"source": "Favourite", "target": "Fameuil", "value": 3},
{"source": "Favourite", "target": "Blacheville", "value": 4},
{"source": "Dahlia", "target": "Tholomyes", "value": 3},
{"source": "Dahlia", "target": "Listolier", "value": 3},
{"source": "Dahlia", "target": "Fameuil", "value": 3},
{"source": "Dahlia", "target": "Blacheville", "value": 3},
{"source": "Dahlia", "target": "Favourite", "value": 5},
{"source": "Zephine", "target": "Tholomyes", "value": 3},
{"source": "Zephine", "target": "Listolier", "value": 3},
{"source": "Zephine", "target": "Fameuil", "value": 3},
{"source": "Zephine", "target": "Blacheville", "value": 3},
{"source": "Zephine", "target": "Favourite", "value": 4},
{"source": "Zephine", "target": "Dahlia", "value": 4},
{"source": "Fantine", "target": "Tholomyes", "value": 3},
{"source": "Fantine", "target": "Listolier", "value": 3},
{"source": "Fantine", "target": "Fameuil", "value": 3},
{"source": "Fantine", "target": "Blacheville", "value": 3},
{"source": "Fantine", "target": "Favourite", "value": 4},
{"source": "Fantine", "target": "Dahlia", "value": 4},
{"source": "Fantine", "target": "Zephine", "value": 4},
{"source": "Fantine", "target": "Marguerite", "value": 2},
{"source": "Fantine", "target": "Valjean", "value": 9},
{"source": "Mme.Thenardier", "target": "Fantine", "value": 2},
{"source": "Mme.Thenardier", "target": "Valjean", "value": 7},
{"source": "Thenardier", "target": "Mme.Thenardier", "value": 13},
{"source": "Thenardier", "target": "Fantine", "value": 1},
{"source": "Thenardier", "target": "Valjean", "value": 12},
{"source": "Cosette", "target": "Mme.Thenardier", "value": 4},
{"source": "Cosette", "target": "Valjean", "value": 31},
{"source": "Cosette", "target": "Tholomyes", "value": 1},
{"source": "Cosette", "target": "Thenardier", "value": 1},
{"source": "Javert", "target": "Valjean", "value": 17},
{"source": "Javert", "target": "Fantine", "value": 5},
{"source": "Javert", "target": "Thenardier", "value": 5},
{"source": "Javert", "target": "Mme.Thenardier", "value": 1},
{"source": "Javert", "target": "Cosette", "value": 1},
{"source": "Fauchelevent", "target": "Valjean", "value": 8},
{"source": "Fauchelevent", "target": "Javert", "value": 1},
{"source": "Bamatabois", "target": "Fantine", "value": 1},
{"source": "Bamatabois", "target": "Javert", "value": 1},
{"source": "Bamatabois", "target": "Valjean", "value": 2},
{"source": "Perpetue", "target": "Fantine", "value": 1},
{"source": "Simplice", "target": "Perpetue", "value": 2},
{"source": "Simplice", "target": "Valjean", "value": 3},
{"source": "Simplice", "target": "Fantine", "value": 2},
{"source": "Simplice", "target": "Javert", "value": 1},
{"source": "Scaufflaire", "target": "Valjean", "value": 1},
{"source": "Woman1", "target": "Valjean", "value": 2},
{"source": "Woman1", "target": "Javert", "value": 1},
{"source": "Judge", "target": "Valjean", "value": 3},
{"source": "Judge", "target": "Bamatabois", "value": 2},
{"source": "Champmathieu", "target": "Valjean", "value": 3},
{"source": "Champmathieu", "target": "Judge", "value": 3},
{"source": "Champmathieu", "target": "Bamatabois", "value": 2},
{"source": "Brevet", "target": "Judge", "value": 2},
{"source": "Brevet", "target": "Champmathieu", "value": 2},
{"source": "Brevet", "target": "Valjean", "value": 2},
{"source": "Brevet", "target": "Bamatabois", "value": 1},
{"source": "Chenildieu", "target": "Judge", "value": 2},
{"source": "Chenildieu", "target": "Champmathieu", "value": 2},
{"source": "Chenildieu", "target": "Brevet", "value": 2},
{"source": "Chenildieu", "target": "Valjean", "value": 2},
{"source": "Chenildieu", "target": "Bamatabois", "value": 1},
{"source": "Cochepaille", "target": "Judge", "value": 2},
{"source": "Cochepaille", "target": "Champmathieu", "value": 2},
{"source": "Cochepaille", "target": "Brevet", "value": 2},
{"source": "Cochepaille", "target": "Chenildieu", "value": 2},
{"source": "Cochepaille", "target": "Valjean", "value": 2},
{"source": "Cochepaille", "target": "Bamatabois", "value": 1},
{"source": "Pontmercy", "target": "Thenardier", "value": 1},
{"source": "Boulatruelle", "target": "Thenardier", "value": 1},
{"source": "Eponine", "target": "Mme.Thenardier", "value": 2},
{"source": "Eponine", "target": "Thenardier", "value": 3},
{"source": "Anzelma", "target": "Eponine", "value": 2},
{"source": "Anzelma", "target": "Thenardier", "value": 2},
{"source": "Anzelma", "target": "Mme.Thenardier", "value": 1},
{"source": "Woman2", "target": "Valjean", "value": 3},
{"source": "Woman2", "target": "Cosette", "value": 1},
{"source": "Woman2", "target": "Javert", "value": 1},
{"source": "MotherInnocent", "target": "Fauchelevent", "value": 3},
{"source": "MotherInnocent", "target": "Valjean", "value": 1},
{"source": "Gribier", "target": "Fauchelevent", "value": 2},
{"source": "Mme.Burgon", "target": "Jondrette", "value": 1},
{"source": "Gavroche", "target": "Mme.Burgon", "value": 2},
{"source": "Gavroche", "target": "Thenardier", "value": 1},
{"source": "Gavroche", "target": "Javert", "value": 1},
{"source": "Gavroche", "target": "Valjean", "value": 1},
{"source": "Gillenormand", "target": "Cosette", "value": 3},
{"source": "Gillenormand", "target": "Valjean", "value": 2},
{"source": "Magnon", "target": "Gillenormand", "value": 1},
{"source": "Magnon", "target": "Mme.Thenardier", "value": 1},
{"source": "Mlle.Gillenormand", "target": "Gillenormand", "value": 9},
{"source": "Mlle.Gillenormand", "target": "Cosette", "value": 2},
{"source": "Mlle.Gillenormand", "target": "Valjean", "value": 2},
{"source": "Mme.Pontmercy", "target": "Mlle.Gillenormand", "value": 1},
{"source": "Mme.Pontmercy", "target": "Pontmercy", "value": 1},
{"source": "Mlle.Vaubois", "target": "Mlle.Gillenormand", "value": 1},
{"source": "Lt.Gillenormand", "target": "Mlle.Gillenormand", "value": 2},
{"source": "Lt.Gillenormand", "target": "Gillenormand", "value": 1},
{"source": "Lt.Gillenormand", "target": "Cosette", "value": 1},
{"source": "Marius", "target": "Mlle.Gillenormand", "value": 6},
{"source": "Marius", "target": "Gillenormand", "value": 12},
{"source": "Marius", "target": "Pontmercy", "value": 1},
{"source": "Marius", "target": "Lt.Gillenormand", "value": 1},
{"source": "Marius", "target": "Cosette", "value": 21},
{"source": "Marius", "target": "Valjean", "value": 19},
{"source": "Marius", "target": "Tholomyes", "value": 1},
{"source": "Marius", "target": "Thenardier", "value": 2},
{"source": "Marius", "target": "Eponine", "value": 5},
{"source": "Marius", "target": "Gavroche", "value": 4},
{"source": "BaronessT", "target": "Gillenormand", "value": 1},
{"source": "BaronessT", "target": "Marius", "value": 1},
{"source": "Mabeuf", "target": "Marius", "value": 1},
{"source": "Mabeuf", "target": "Eponine", "value": 1},
{"source": "Mabeuf", "target": "Gavroche", "value": 1},
{"source": "Enjolras", "target": "Marius", "value": 7},
{"source": "Enjolras", "target": "Gavroche", "value": 7},
{"source": "Enjolras", "target": "Javert", "value": 6},
{"source": "Enjolras", "target": "Mabeuf", "value": 1},
{"source": "Enjolras", "target": "Valjean", "value": 4},
{"source": "Combeferre", "target": "Enjolras", "value": 15},
{"source": "Combeferre", "target": "Marius", "value": 5},
{"source": "Combeferre", "target": "Gavroche", "value": 6},
{"source": "Combeferre", "target": "Mabeuf", "value": 2},
{"source": "Prouvaire", "target": "Gavroche", "value": 1},
{"source": "Prouvaire", "target": "Enjolras", "value": 4},
{"source": "Prouvaire", "target": "Combeferre", "value": 2},
{"source": "Feuilly", "target": "Gavroche", "value": 2},
{"source": "Feuilly", "target": "Enjolras", "value": 6},
{"source": "Feuilly", "target": "Prouvaire", "value": 2},
{"source": "Feuilly", "target": "Combeferre", "value": 5},
{"source": "Feuilly", "target": "Mabeuf", "value": 1},
{"source": "Feuilly", "target": "Marius", "value": 1},
{"source": "Courfeyrac", "target": "Marius", "value": 9},
{"source": "Courfeyrac", "target": "Enjolras", "value": 17},
{"source": "Courfeyrac", "target": "Combeferre", "value": 13},
{"source": "Courfeyrac", "target": "Gavroche", "value": 7},
{"source": "Courfeyrac", "target": "Mabeuf", "value": 2},
{"source": "Courfeyrac", "target": "Eponine", "value": 1},
{"source": "Courfeyrac", "target": "Feuilly", "value": 6},
{"source": "Courfeyrac", "target": "Prouvaire", "value": 3},
{"source": "Bahorel", "target": "Combeferre", "value": 5},
{"source": "Bahorel", "target": "Gavroche", "value": 5},
{"source": "Bahorel", "target": "Courfeyrac", "value": 6},
{"source": "Bahorel", "target": "Mabeuf", "value": 2},
{"source": "Bahorel", "target": "Enjolras", "value": 4},
{"source": "Bahorel", "target": "Feuilly", "value": 3},
{"source": "Bahorel", "target": "Prouvaire", "value": 2},
{"source": "Bahorel", "target": "Marius", "value": 1},
{"source": "Bossuet", "target": "Marius", "value": 5},
{"source": "Bossuet", "target": "Courfeyrac", "value": 12},
{"source": "Bossuet", "target": "Gavroche", "value": 5},
{"source": "Bossuet", "target": "Bahorel", "value": 4},
{"source": "Bossuet", "target": "Enjolras", "value": 10},
{"source": "Bossuet", "target": "Feuilly", "value": 6},
{"source": "Bossuet", "target": "Prouvaire", "value": 2},
{"source": "Bossuet", "target": "Combeferre", "value": 9},
{"source": "Bossuet", "target": "Mabeuf", "value": 1},
{"source": "Bossuet", "target": "Valjean", "value": 1},
{"source": "Joly", "target": "Bahorel", "value": 5},
{"source": "Joly", "target": "Bossuet", "value": 7},
{"source": "Joly", "target": "Gavroche", "value": 3},
{"source": "Joly", "target": "Courfeyrac", "value": 5},
{"source": "Joly", "target": "Enjolras", "value": 5},
{"source": "Joly", "target": "Feuilly", "value": 5},
{"source": "Joly", "target": "Prouvaire", "value": 2},
{"source": "Joly", "target": "Combeferre", "value": 5},
{"source": "Joly", "target": "Mabeuf", "value": 1},
{"source": "Joly", "target": "Marius", "value": 2},
{"source": "Grantaire", "target": "Bossuet", "value": 3},
{"source": "Grantaire", "target": "Enjolras", "value": 3},
{"source": "Grantaire", "target": "Combeferre", "value": 1},
{"source": "Grantaire", "target": "Courfeyrac", "value": 2},
{"source": "Grantaire", "target": "Joly", "value": 2},
{"source": "Grantaire", "target": "Gavroche", "value": 1},
{"source": "Grantaire", "target": "Bahorel", "value": 1},
{"source": "Grantaire", "target": "Feuilly", "value": 1},
{"source": "Grantaire", "target": "Prouvaire", "value": 1},
{"source": "MotherPlutarch", "target": "Mabeuf", "value": 3},
{"source": "Gueulemer", "target": "Thenardier", "value": 5},
{"source": "Gueulemer", "target": "Valjean", "value": 1},
{"source": "Gueulemer", "target": "Mme.Thenardier", "value": 1},
{"source": "Gueulemer", "target": "Javert", "value": 1},
{"source": "Gueulemer", "target": "Gavroche", "value": 1},
{"source": "Gueulemer", "target": "Eponine", "value": 1},
{"source": "Babet", "target": "Thenardier", "value": 6},
{"source": "Babet", "target": "Gueulemer", "value": 6},
{"source": "Babet", "target": "Valjean", "value": 1},
{"source": "Babet", "target": "Mme.Thenardier", "value": 1},
{"source": "Babet", "target": "Javert", "value": 2},
{"source": "Babet", "target": "Gavroche", "value": 1},
{"source": "Babet", "target": "Eponine", "value": 1},
{"source": "Claquesous", "target": "Thenardier", "value": 4},
{"source": "Claquesous", "target": "Babet", "value": 4},
{"source": "Claquesous", "target": "Gueulemer", "value": 4},
{"source": "Claquesous", "target": "Valjean", "value": 1},
{"source": "Claquesous", "target": "Mme.Thenardier", "value": 1},
{"source": "Claquesous", "target": "Javert", "value": 1},
{"source": "Claquesous", "target": "Eponine", "value": 1},
{"source": "Claquesous", "target": "Enjolras", "value": 1},
{"source": "Montparnasse", "target": "Javert", "value": 1},
{"source": "Montparnasse", "target": "Babet", "value": 2},
{"source": "Montparnasse", "target": "Gueulemer", "value": 2},
{"source": "Montparnasse", "target": "Claquesous", "value": 2},
{"source": "Montparnasse", "target": "Valjean", "value": 1},
{"source": "Montparnasse", "target": "Gavroche", "value": 1},
{"source": "Montparnasse", "target": "Eponine", "value": 1},
{"source": "Montparnasse", "target": "Thenardier", "value": 1},
{"source": "Toussaint", "target": "Cosette", "value": 2},
{"source": "Toussaint", "target": "Javert", "value": 1},
{"source": "Toussaint", "target": "Valjean", "value": 1},
{"source": "Child1", "target": "Gavroche", "value": 2},
{"source": "Child2", "target": "Gavroche", "value": 2},
{"source": "Child2", "target": "Child1", "value": 3},
{"source": "Brujon", "target": "Babet", "value": 3},
{"source": "Brujon", "target": "Gueulemer", "value": 3},
{"source": "Brujon", "target": "Thenardier", "value": 3},
{"source": "Brujon", "target": "Gavroche", "value": 1},
{"source": "Brujon", "target": "Eponine", "value": 1},
{"source": "Brujon", "target": "Claquesous", "value": 1},
{"source": "Brujon", "target": "Montparnasse", "value": 1},
{"source": "Mme.Hucheloup", "target": "Bossuet", "value": 1},
{"source": "Mme.Hucheloup", "target": "Joly", "value": 1},
{"source": "Mme.Hucheloup", "target": "Grantaire", "value": 1},
{"source": "Mme.Hucheloup", "target": "Bahorel", "value": 1},
{"source": "Mme.Hucheloup", "target": "Courfeyrac", "value": 1},
{"source": "Mme.Hucheloup", "target": "Gavroche", "value": 1},
{"source": "Mme.Hucheloup", "target": "Enjolras", "value": 1}
]
}
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