kruskal-mst

Kruskal's algorithm finds a minimum spanning forest of an undirected edge-weighted graph. If the graph is connected, it finds a minimum spanning tree.

For more information read: https://en.wikipedia.org/wiki/Kruskal%27s_algorithm

Usage

Javascript

k = require('kruskal-mst');
edges = [
    { from: 'A', to: 'B', weight: 1 },
    { from: 'A', to: 'C', weight: 5 },
    { from: 'A', to: 'E', weight: 7 },
    { from: 'B', to: 'C', weight: 2 },
    { from: 'B', to: 'D', weight: 5 },
    { from: 'C', to: 'F', weight: 8 },
    { from: 'D', to: 'E', weight: 3 },
    { from: 'D', to: 'F', weight: 4 },
    { from: 'E', to: 'F', weight: 5 },
  ];
  mst = k.kruskal(edges);

  console.log(mst);

Output:

[
  { from: 'A', to: 'B', weight: 1 },
  { from: 'B', to: 'C', weight: 2 },
  { from: 'D', to: 'E', weight: 3 },
  { from: 'D', to: 'F', weight: 4 },
  { from: 'B', to: 'D', weight: 5 }
]

Typescript

import { kruskal, Edge } from 'kruskal-mst';

const edges: Edge<string>[] = [
    { from: 'A', to: 'B', weight: 1 },
    { from: 'A', to: 'C', weight: 5 },
    { from: 'A', to: 'E', weight: 7 },
    { from: 'B', to: 'C', weight: 2 },
    { from: 'B', to: 'D', weight: 5 },
    { from: 'C', to: 'F', weight: 8 },
    { from: 'D', to: 'E', weight: 3 },
    { from: 'D', to: 'F', weight: 4 },
    { from: 'E', to: 'F', weight: 5 },
  ];
  const spanningTree = kruskal(edges);

  console.log(spanningTree);