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Which of the following is true about Kruskal and Prim MST algorithms? Assume that Prim is implemented for adjacency list representation using Binary Heap and Kruskal is implemented using union by rank.a.Worst case time complexity of both algorithms is same.b.Worst case time complexity of Prim is better than Kruskalc.Noned.Worst case time complexity of Kruskal is better than Prim

Question

Which of the following is true about Kruskal and Prim MST algorithms? Assume that Prim is implemented for adjacency list representation using Binary Heap and Kruskal is implemented using union by rank.a.Worst case time complexity of both algorithms is same.b.Worst case time complexity of Prim is better than Kruskalc.Noned.Worst case time complexity of Kruskal is better than Prim

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Solution

The correct answer is a. The worst-case time complexity of both Prim's and Kruskal's algorithms is the same.

Here's why:

  1. Prim's algorithm, when implemented using a binary heap and adjacency list representation, has a worst-case time complexity of O(ElogV), where E is the number of edges and V is the number of vertices in the graph.

  2. Kruskal's algorithm, when implemented using Union by Rank, also has a worst-case time complexity of O(ElogV).

Therefore, the worst-case time complexity of both algorithms is the same.

This problem has been solved

Similar Questions

Which is true statement in the followinga.Both of aboveb.Kruskal’s algorithm (choose best non-cycle edge) is better than prim’s(choose best tree edge) when the graph has relatively few edges.c.Kruskal’s algorithm is used to find MST of a graph , time complexity of this algorithm is O(EV)d.Kruskal’s algorithm is multiple source technique for finding MST.

Compare Kruskal's and Prim's algorithms

Consider the following statements. S1. Kruskal’s algorithm might produce a non-minimal spanning tree. S2. Kruskal’s algorithm can efficiently implemented using the disjoint-set data structure. Options S1 is true but S2 is false Both S1 and S2 are false Both S1 and S2 are true S2 is true but S1 is false

The runtime complexity of Kruskal's algorithm for finding the Minimum Spanning Tree is:OptionsO(V log V)O(V^2) O(E^2)O(E log E)

Prim’s Algorithm for finding the Minimum Spanning Tree of a graph is a kind of a

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