2.1.1 • Public • Published

ngraph.pagerank build status

PageRank algorithm implementation in JavaScript. This module is part of ngraph family.


Let's compute PageRank for a simple graph with two nodes, one edge:

var graph = require('ngraph.graph')();
graph.addLink(1, 2);

var pageRank = require('ngraph.pagerank');
var rank = pageRank(graph);

This code will compute PageRank for two nodes:

  "1": 0.350877,
  "2": 0.649123


The PageRank algorithm allows you to specify a probability at any step that a person will continue clicking outgoing links. This probability in some literature is called a dumping factor, and is recommended to be set between 0.80 and 0.90.

To configure this probability use the second, optional argument of the pageRank() function:

// by default this value is 0.85. Bump it to 0.9:
var internalJumpProbability = 0.90;
var rank = pageRank(graph, internalJumpProbability);

Current implementation uses approximate solution for eigenvector problem. To specify precision level use the last optional argument:

var internalJumpProbability = 0.85;
// by default it's set to 0.005, let's increase it:
var precision = 0.00001;
var rank = pageRank(graph, internalJumpProbability, precision);

precision will affect algorithm performance and serves as an exit criteria:

|r(t) - r(t - 1)| < precision

Here r(t) is eigenvector (or pageRank of a graph) at time step t.


The focus of this module is to be very fast. I tried multiple approaches, including

So far approach with typed array gives the fastest results in v8/node.js 0.12: 43 ops/sec. asm.js version is the fastest when executed inside spider monkey (firefox) with 50 ops/sec. Unfortunately asm.js version gives terrible results in iojs 1.5 (around 20 ops/sec), and while performs at 47 ops/sec in node.js 0.12 the deviation is too big (around 7%) to call it stable. I'm frankly a little bit lost and not sure why asm.js gives such poor results in v8. So currently sticking with approach with typed arrays.


A small demo is available here. It computes PageRank for a graph from Wikipedia and then renders it with force based layout.


With npm do:

npm install ngraph.pagerank

Or download from CDN:

<script src=''></script>

If you download from CDN the library will be available under pageRank global name.




Implement topic-specific rank?

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  • anvaka