Web Reference: This algorithm was first published by Joseph Kruskal in 1956, [3] and was rediscovered soon afterward by Loberman & Weinberger (1957). [4] Other algorithms for this problem include Prim's algorithm, Borůvka's algorithm, and the reverse-delete algorithm. Dec 20, 2025 · Below are the steps for finding MST using Kruskal's algorithm: Sort all the edges in a non-decreasing order of their weight. Pick the smallest edge. Check if it forms a cycle with the spanning tree formed so far. If the cycle is not formed, include this edge. Else, discard it. It uses the Disjoint Sets to detect cycles. Kruskal's algorithm is a minimum spanning tree algorithm that takes a graph as input and finds the subset of the edges of that graph.
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