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 · 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. Repeat step 2 until there are (V-1) edges in the spanning tree. 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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