ngraph.hde

High dimensional embedding of a graph

ngraph.hde

This package implements high dimensional graph layout with O(m*(|V| + |E|)) time complexity.

While the layout doesn't necessary look appealing for all possible graphs, this package provides amazing initial configuration for nodes for subsequent refinement by ngraph.forcelayout or d3-force.

Since force based layout convergence speed depends on initial configuration, this library can provide significant boost for large graphs layout.

See the demo here: https://anvaka.github.io/ngraph.hde/

demo

Demo's source code is here

How does it work?

The package follows Graph Drawing by High-Dimensional Embedding paper by David Harel and Yehuda Koren.

First, the graph is projected into M-dimensional space. In this space adjacent nodes are close to each other. By default M has 50 dimensions.

Then from this M dimensional space we crash graph back into 2D or 3D, or any other D < M where you want to visualize the graph. The "crash" is a done by PCA. In this D-dimensional space we can visualize the graph, or use it as starting position for a force based layout.

Usage

npm install ngraph.hde

Then, using your favorite bundler:

let createLayout = require('ngraph.hde');
let createGraph = require('ngraph.graph');
 
let graph = createGraph(); // your graph.
graph.addLink(1, 2);
graph.addLink(2, 3);
graph.addLink(1, 3);
// set up nodes/vertices and then:
 
let layout = createLayout(graph);
layout.getNodePosition(1); // returns [0.39, -0.72]

Current version of the library doesn't support graphs with multiple disconnected components. You'd have to first find the connected components and then use layout on connected parts.

Options

Layout supports a few options:

let layout = createLayout(graph, {
  // Defines number of dimensions in `M` space. If value is larger than number
  // of nodes, then number of nodes is used by default.
  pivotCount: 50,
 
  // Defines number of components for `getNodePosition()` method. This is number of
  // principal component in the PCA.
  dimensions: 2
});

Support

You can always reach out to me on twitter if you have any questions. If you love this library, please consider sponsoring it https://github.com/sponsors/anvaka .

License

MIT