Kruskal's algorithm: Learn how to find the minimum spanning

Learn how to find the minimum spanning tree of a graph using Kruskal's algorithm, which sorts the edges in ascending order and adds them to the forest without cycles. See examples, pseudocode, and C++, Java, and Python implementations. Minimum Spanning Tree: A minimum spanning tree (MST) or minimum weight spanning tree is a subset of the edges of a connected, edge-weighted undirected graph that connects all the vertices together, without any cycles and with the minimum possible total edge weight. Kruskal's Algorithm Sort all the edges in non-decreasing order of their weight. Pick the smallest edge. Check if it forms a cycle with the spanning tree formed so far. If cycle is not formed, include this edge. Else, discard it ... In Kruskal's algorithm, we sort all edges of the given graph in increasing order. Then it keeps on adding new edges and nodes in the MST if the newly added edge does not form a cycle. It picks the minimum weighted edge at first and the maximum weighted edge at last. Learn how to find a minimum spanning forest or tree of an undirected edge-weighted graph using a greedy algorithm and a disjoint-set data structure. See the pseudocode, complexity, and examples of Kruskal's algorithm.