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 ... The Kruskal algorithm is a popular algorithm used to find the Minimum Spanning Tree (MST) in a graph, ensuring that the total edge weight is minimized while connecting all vertices. This algorithm is especially useful in network design and optimization. Kruskal’s Algorithm is a greedy algorithm used to find MST in the graph. A minimum spanning tree (MST) is a spanning tree with a weight less than or equal to the weight of every other spanning tree. Kruskal’s Algorithm sorts all edges of the given graph in increasing order. 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.
