Minimum spanning tree: Kruskal's minimal spanning tree

Kruskal's minimal spanning tree algorithm is one of the efficient methods to find the minimum spanning tree of a graph. A minimum spanning tree is a subgraph that connects all the vertices present in the main graph with the least possible edges and minimum cost (sum of the weights assigned to each edge). Learn what is a spanning tree and a minimum spanning tree, and how to find them using Kruskal's and Prim's algorithms. See examples, implementation, time complexity and applications of minimum spanning tree. The Minimum Spanning Tree Problem The Minimum Spanning Tree (MST) is the collection of edges required to connect all vertices in an undirected graph, with the minimum total edge weight. Learn the definition, properties and algorithms of minimum spanning tree, a subset of edges of a graph that connects all vertices without cycles and with minimum weight. See examples, figures and references.