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Update kruskal.js #1458

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46 changes: 12 additions & 34 deletions src/algorithms/graph/kruskal/kruskal.js
Original file line number Diff line number Diff line change
Expand Up @@ -7,53 +7,31 @@ import DisjointSet from '../../../data-structures/disjoint-set/DisjointSet';
* @return {Graph}
*/
export default function kruskal(graph) {
// It should fire error if graph is directed since the algorithm works only
// for undirected graphs.
// Check for directed graph
if (graph.isDirected) {
throw new Error('Kruskal\'s algorithms works only for undirected graphs');
throw new Error("Kruskal's algorithm works only for undirected graphs");
}

// Init new graph that will contain minimum spanning tree of original graph.
// Initialize the MST graph
const minimumSpanningTree = new Graph();

// Sort all graph edges in increasing order.
const sortingCallbacks = {
// Sort all edges by weight in ascending order
const sortedEdges = new QuickSort({
/**
* @param {GraphEdge} graphEdgeA
* @param {GraphEdge} graphEdgeB
*/
compareCallback: (graphEdgeA, graphEdgeB) => {
if (graphEdgeA.weight === graphEdgeB.weight) {
return 1;
}
compareCallback: (graphEdgeA, graphEdgeB) => graphEdgeA.weight - graphEdgeB.weight,
}).sort(graph.getAllEdges());

return graphEdgeA.weight <= graphEdgeB.weight ? -1 : 1;
},
};
const sortedEdges = new QuickSort(sortingCallbacks).sort(graph.getAllEdges());
// Initialize disjoint sets for vertices
const disjointSet = new DisjointSet((vertex) => vertex.getKey());
graph.getAllVertices().forEach((vertex) => disjointSet.makeSet(vertex));

// Create disjoint sets for all graph vertices.
const keyCallback = (graphVertex) => graphVertex.getKey();
const disjointSet = new DisjointSet(keyCallback);

graph.getAllVertices().forEach((graphVertex) => {
disjointSet.makeSet(graphVertex);
});

// Go through all edges started from the minimum one and try to add them
// to minimum spanning tree. The criteria of adding the edge would be whether
// it is forms the cycle or not (if it connects two vertices from one disjoint
// set or not).
for (let edgeIndex = 0; edgeIndex < sortedEdges.length; edgeIndex += 1) {
/** @var {GraphEdge} currentEdge */
const currentEdge = sortedEdges[edgeIndex];

// Check if edge forms the cycle. If it does then skip it.
// Add edges to the MST if they don’t form a cycle
for (const currentEdge of sortedEdges) {
if (!disjointSet.inSameSet(currentEdge.startVertex, currentEdge.endVertex)) {
// Unite two subsets into one.
disjointSet.union(currentEdge.startVertex, currentEdge.endVertex);

// Add this edge to spanning tree.
minimumSpanningTree.addEdge(currentEdge);
}
}
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