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Adjacency Matrix Layout

A simple D3 layout that creates an adjacency matrix. In an adjacency matrix, unlike an arc diagram or a force-directed layout, the links are not lines and the nodes are not circles (or other icons). Instead, all nodes are shown across the x and y axes, and a link is indicated by a filled grid cell where the connected nodes meet.

The layout also includes helper functions to draw the x and y axes to label the nodes.

The most current version of the layout is here.

(function() {
d3.layout.adjacencyMatrix = function() {
var directed = true,
size = [1,1],
nodes = [],
edges = [],
edgeWeight = function (d) {return 1},
nodeID = function (d) {return d.id};
function matrix() {
var width = size[0],
height = size[1],
nodeWidth = width / nodes.length,
nodeHeight = height / nodes.length,
constructedMatrix = [],
matrix = [],
edgeHash = {},
xScale = d3.scale.linear().domain([0,nodes.length]).range([0,width]),
yScale = d3.scale.linear().domain([0,nodes.length]).range([0,height]);
nodes.forEach(function(node, i) {
node.sortedIndex = i;
})
edges.forEach(function(edge) {
var constructedEdge = {source: edge.source, target: edge.target, weight: edgeWeight(edge)};
if (typeof edge.source == "number") {
constructedEdge.source = nodes[edge.source];
}
if (typeof edge.target == "number") {
constructedEdge.target = nodes[edge.target];
}
var id = nodeID(constructedEdge.source) + "-" + nodeID(constructedEdge.target);
if (directed === false && constructedEdge.source.sortedIndex < constructedEdge.target.sortedIndex) {
id = nodeID(constructedEdge.target) + "-" + nodeID(constructedEdge.source);
}
if (!edgeHash[id]) {
edgeHash[id] = constructedEdge;
}
else {
edgeHash[id].weight = edgeHash[id].weight + constructedEdge.weight;
}
});
console.log("nodes", nodes, nodes.length)
nodes.forEach(function (sourceNode, a) {
nodes.forEach(function (targetNode, b) {
var grid = {id: nodeID(sourceNode) + "-" + nodeID(targetNode), source: sourceNode, target: targetNode, x: xScale(b), y: yScale(a), weight: 0, height: nodeHeight, width: nodeWidth};
var edgeWeight = 0;
if (edgeHash[grid.id]) {
edgeWeight = edgeHash[grid.id].weight;
grid.weight = edgeWeight;
};
if (directed === true || b < a) {
matrix.push(grid);
if (directed === false) {
var mirrorGrid = {id: nodeID(sourceNode) + "-" + nodeID(targetNode), source: sourceNode, target: targetNode, x: xScale(a), y: yScale(b), weight: 0, height: nodeHeight, width: nodeWidth};
mirrorGrid.weight = edgeWeight;
matrix.push(mirrorGrid);
}
}
});
});
console.log("matrix", matrix, matrix.length)
return matrix;
}
matrix.directed = function(x) {
if (!arguments.length) return directed;
directed = x;
return matrix;
}
matrix.size = function(x) {
if (!arguments.length) return size;
size = x;
return matrix;
}
matrix.nodes = function(x) {
if (!arguments.length) return nodes;
nodes = x;
return matrix;
}
matrix.links = function(x) {
if (!arguments.length) return edges;
edges = x;
return matrix;
}
matrix.edgeWeight = function(x) {
if (!arguments.length) return edgeWeight;
if (typeof x === "function") {
edgeWeight = x;
}
else {
edgeWeight = function () {return x};
}
return matrix;
}
matrix.nodeID = function(x) {
if (!arguments.length) return nodeID;
if (typeof x === "function") {
nodeID = x;
}
return matrix;
}
matrix.xAxis = function(calledG) {
var nameScale = d3.scale.ordinal()
.domain(nodes.map(nodeID))
.rangePoints([0,size[0]],1);
var xAxis = d3.svg.axis().scale(nameScale).orient("top").tickSize(4);
calledG
.append("g")
.attr("class", "am-xAxis am-axis")
.call(xAxis)
.selectAll("text")
.style("text-anchor", "end")
.attr("transform", "translate(-10,-10) rotate(90)");
}
matrix.yAxis = function(calledG) {
var nameScale = d3.scale.ordinal()
.domain(nodes.map(nodeID))
.rangePoints([0,size[1]],1);
yAxis = d3.svg.axis().scale(nameScale)
.orient("left")
.tickSize(4);
calledG.append("g")
.attr("class", "am-yAxis am-axis")
.call(yAxis);
}
return matrix;
}
})();
<html>
<head>
<title>D3 in Action Chapter 6 - Example 1</title>
<meta charset="utf-8" />
<script src="https://cdnjs.cloudflare.com/ajax/libs/d3/3.5.5/d3.min.js"></script>
<script src="d3.layout.adjacencyMatrix.js" type="text/JavaScript"></script>
</head>
<style>
svg {
height: 1400px;
width: 1400px;
border: 1px solid gray;
}
g.am-axis text {
font-size: 8px;
}
.domain {
fill: none;
}
.tick > line{
stroke: black;
stroke-width: 1px;
stroke-opacity: .25;
}
</style>
<body>
<div id="viz">
<svg>
</svg>
</div>
<div id="controls" />
</body>
<footer>
<script>
d3.json("miserables.json", createAdjacencyMatrix);
function createAdjacencyMatrix(data) {
var adjacencyMatrix = d3.layout.adjacencyMatrix()
.size([800,800])
.nodes(data.nodes)
.links(data.links)
.directed(false)
.nodeID(function (d) {return d.name});
var matrixData = adjacencyMatrix();
console.log(matrixData)
var someColors = d3.scale.category20b();
d3.select("svg")
.append("g")
.attr("transform", "translate(50,50)")
.attr("id", "adjacencyG")
.selectAll("rect")
.data(matrixData)
.enter()
.append("rect")
.attr("width", function (d) {return d.width})
.attr("height", function (d) {return d.height})
.attr("x", function (d) {return d.x})
.attr("y", function (d) {return d.y})
.style("stroke", "black")
.style("stroke-width", "1px")
.style("stroke-opacity", .1)
.style("fill", function (d) {return someColors(d.source.group)})
.style("fill-opacity", function (d) {return d.weight * .8});
d3.select("#adjacencyG")
.call(adjacencyMatrix.xAxis);
d3.select("#adjacencyG")
.call(adjacencyMatrix.yAxis);
}
</script>
</footer>
</html>
{
"nodes":[
{"name":"Myriel","group":1},
{"name":"Napoleon","group":1},
{"name":"Mlle.Baptistine","group":1},
{"name":"Mme.Magloire","group":1},
{"name":"CountessdeLo","group":1},
{"name":"Geborand","group":1},
{"name":"Champtercier","group":1},
{"name":"Cravatte","group":1},
{"name":"Count","group":1},
{"name":"OldMan","group":1},
{"name":"Labarre","group":2},
{"name":"Valjean","group":2},
{"name":"Marguerite","group":3},
{"name":"Mme.deR","group":2},
{"name":"Isabeau","group":2},
{"name":"Gervais","group":2},
{"name":"Tholomyes","group":3},
{"name":"Listolier","group":3},
{"name":"Fameuil","group":3},
{"name":"Blacheville","group":3},
{"name":"Favourite","group":3},
{"name":"Dahlia","group":3},
{"name":"Zephine","group":3},
{"name":"Fantine","group":3},
{"name":"Mme.Thenardier","group":4},
{"name":"Thenardier","group":4},
{"name":"Cosette","group":5},
{"name":"Javert","group":4},
{"name":"Fauchelevent","group":0},
{"name":"Bamatabois","group":2},
{"name":"Perpetue","group":3},
{"name":"Simplice","group":2},
{"name":"Scaufflaire","group":2},
{"name":"Woman1","group":2},
{"name":"Judge","group":2},
{"name":"Champmathieu","group":2},
{"name":"Brevet","group":2},
{"name":"Chenildieu","group":2},
{"name":"Cochepaille","group":2},
{"name":"Pontmercy","group":4},
{"name":"Boulatruelle","group":6},
{"name":"Eponine","group":4},
{"name":"Anzelma","group":4},
{"name":"Woman2","group":5},
{"name":"MotherInnocent","group":0},
{"name":"Gribier","group":0},
{"name":"Jondrette","group":7},
{"name":"Mme.Burgon","group":7},
{"name":"Gavroche","group":8},
{"name":"Gillenormand","group":5},
{"name":"Magnon","group":5},
{"name":"Mlle.Gillenormand","group":5},
{"name":"Mme.Pontmercy","group":5},
{"name":"Mlle.Vaubois","group":5},
{"name":"Lt.Gillenormand","group":5},
{"name":"Marius","group":8},
{"name":"BaronessT","group":5},
{"name":"Mabeuf","group":8},
{"name":"Enjolras","group":8},
{"name":"Combeferre","group":8},
{"name":"Prouvaire","group":8},
{"name":"Feuilly","group":8},
{"name":"Courfeyrac","group":8},
{"name":"Bahorel","group":8},
{"name":"Bossuet","group":8},
{"name":"Joly","group":8},
{"name":"Grantaire","group":8},
{"name":"MotherPlutarch","group":9},
{"name":"Gueulemer","group":4},
{"name":"Babet","group":4},
{"name":"Claquesous","group":4},
{"name":"Montparnasse","group":4},
{"name":"Toussaint","group":5},
{"name":"Child1","group":10},
{"name":"Child2","group":10},
{"name":"Brujon","group":4},
{"name":"Mme.Hucheloup","group":8}
],
"links":[
{"source":1,"target":0,"value":1},
{"source":2,"target":0,"value":8},
{"source":3,"target":0,"value":10},
{"source":3,"target":2,"value":6},
{"source":4,"target":0,"value":1},
{"source":5,"target":0,"value":1},
{"source":6,"target":0,"value":1},
{"source":7,"target":0,"value":1},
{"source":8,"target":0,"value":2},
{"source":9,"target":0,"value":1},
{"source":11,"target":10,"value":1},
{"source":11,"target":3,"value":3},
{"source":11,"target":2,"value":3},
{"source":11,"target":0,"value":5},
{"source":12,"target":11,"value":1},
{"source":13,"target":11,"value":1},
{"source":14,"target":11,"value":1},
{"source":15,"target":11,"value":1},
{"source":17,"target":16,"value":4},
{"source":18,"target":16,"value":4},
{"source":18,"target":17,"value":4},
{"source":19,"target":16,"value":4},
{"source":19,"target":17,"value":4},
{"source":19,"target":18,"value":4},
{"source":20,"target":16,"value":3},
{"source":20,"target":17,"value":3},
{"source":20,"target":18,"value":3},
{"source":20,"target":19,"value":4},
{"source":21,"target":16,"value":3},
{"source":21,"target":17,"value":3},
{"source":21,"target":18,"value":3},
{"source":21,"target":19,"value":3},
{"source":21,"target":20,"value":5},
{"source":22,"target":16,"value":3},
{"source":22,"target":17,"value":3},
{"source":22,"target":18,"value":3},
{"source":22,"target":19,"value":3},
{"source":22,"target":20,"value":4},
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{"source":23,"target":16,"value":3},
{"source":23,"target":17,"value":3},
{"source":23,"target":18,"value":3},
{"source":23,"target":19,"value":3},
{"source":23,"target":20,"value":4},
{"source":23,"target":21,"value":4},
{"source":23,"target":22,"value":4},
{"source":23,"target":12,"value":2},
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{"source":25,"target":24,"value":13},
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{"source":27,"target":26,"value":1},
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{"source":76,"target":48,"value":1},
{"source":76,"target":58,"value":1}
]
}
@oa495
Copy link

oa495 commented Jun 26, 2018

Hi Elijah, is it possible to have different sets of node lists for the x and the y axis?

Like

  "nodes_x":[
    {"name":"Myriel","group":1},
    {"name":"Napoleon","group":1},
    {"name":"Mlle.Baptistine","group":1},
    {"name":"Mme.Magloire","group":1},
    {"name":"CountessdeLo","group":1},
    {"name":"Geborand","group":1},
    {"name":"Champtercier","group":1},
    {"name":"Cravatte","group":1}
],
  "nodes_y":[
    {"name":"Myriel","group":1},
    {"name":"Napoleon","group":1},
    {"name":"Mlle.Baptistine","group":1},
    {"name":"Mme.Magloire","group":1},
    {"name":"CountessdeLo","group":1},
    {"name":"Geborand","group":1},
    {"name":"Champtercier","group":1},
    {"name":"Cravatte","group":1}
]

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