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: