Finds a maximum bipartite matching in an unweighted graph. The current implementation uses the Hopcroft-Karp algorithm and runs in O(sqrt(V) * E + V) time. Works in both node.js and in a browser.

var findMatching = require("bipartite-matching")

console.log(findMatching(5, 5, [
      [0, 0],
      [0, 1],
      [1, 0],
      [2, 1],
      [2, 2],
      [3, 2],
      [3, 3],
      [3, 4],
      [4, 4]
    ]))

npm install bipartite-matching

Computes a bipartite matching for the graph

• n is the number of vertices in the first component
• m is the number of vertices in the second component
• edges is the list of edges, represented by pairs of integers between 0 and n-1,m-1 respectively.

Returns A list of edges representing the matching

(c) 2014 Mikola Lysenko. MIT License