What is the time complexity of Kruskal’s algorithm?(a) O(log V)(b) O(E log V)(c) O(E^2)(d) O(V log E)This question was addressed to me in a national level competition.This key question is from Minimum Spanning Tree in section Minimum Spanning Tree of Data Structures & Algorithms II

What is the time complexity of Kruskal’s algorithm?(a) O(log V)(b) O

1.	What is the time complexity of Kruskal’s algorithm?(a) O(log V)(b) O(E log V)(c) O(E^2)(d) O(V log E)This question was addressed to me in a national level competition.This key question is from Minimum Spanning Tree in section Minimum Spanning Tree of Data Structures & Algorithms II
Answer» Correct answer is (b) O(E LOG V) The explanation is: Kruskal’s algorithm involves SORTING of the edges, which takes O(E LOGE) TIME, where E is a number of edges in graph and V is the number of vertices. After sorting, all edges are iterated and union-find algorithm is applied. union-find algorithm requires O(logV) time. So, overall Kruskal’s algorithm requires O(E log V) time.

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