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. This article will discuss few important facts associated with minimum spanning trees, and then will give the simplest implementation of Kruskal's algorithm for finding minimum spanning tree. What is Kruskal's Algorithm? Kruskal's Algorithm is a classic algorithm in the graph theory used to find the Minimum Spanning Tree (MST) of a connected, undirected graph. The MST of the graph is a subset of its edges that connects all the vertices together, without any cycles and with the minimum possible total edge weight. 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.
