Gate CS-2017-1 Question Paper With Solutions

Q. 37 Let G = (V, E) be any connected undirected edge-weighted graph. The weights of the edges in E are positive any distinct. Consider the following statements:

I. Minimum Spanning Tree of G is always unique.
II. Shortest path between any two vertices of G is always unique.

Which of the above statements is/are necessarily true?

(A) I only

(B) II only

(C) both I and II

(D) neither I and II

Answer: (A)

Explanation:

Gate CS-2017-1 Question Paper With Solutions

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