Web Reference: 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 ... Kruskal's algorithm[1] finds a minimum spanning forest of an undirected edge-weighted graph. If the graph is connected, it finds a minimum spanning tree. It is a greedy algorithm that in each step adds to the forest the lowest-weight edge that will not form a cycle. [2] The final program implements the Kruskals minimum spanning tree problem that takes the cost adjacency matrix as the input and prints the shortest path as the output along with the minimum cost.
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