You can see the constructed MST in the following illustration. What is the Complexity of Kruskal's Algorithm Let's assume that you have a graph with E edges and N nodes. You will find the MST using Kruskal's algorithm in time of O(E log E), which is equivelant to O(E log N)....
应用举例 LeetCode上好像没几个MST的题目,从当年整天刷的POJ挑一个简单的吧。 POJ 1251:Jungle Roads 纯粹的MST题目,输入各个村庄之间道路的长度,求能够将这些村庄全部连接起来的最小路径总长。 根据题意,图的顶点数小于27,边数小于75,规模也很小,所以Kruskal+路径压缩并查集就可以水过去了。代码如下。 constintMA...
Option (a), (c), (e), (f) are showing correct order. As per Kruskal's Algorithm, Minimum Spanning Tree (MST) has to be formed by selecting the edge...
Prim’s algorithm always generates MST with connected components while this is not the case in Kruskal’s algorithm where the MST may not have connected components (i.e. Minimum spanning forest). Kruskal’s algorithm works at a faster pace in the sparse graph. As against, Prim’s algorithm ...