Computer Sciences > GATE 2025 SET-1 > Graph Theory
Let G be any undirected graph with positive edge weights, and T be a minimum spanning tree of G. For any two vertices, u and v, let d1(u,v) and d2(u,v) be the shortest distances between u and v in G and T, respectively. Which ONE of the options is CORRECT for all possible G, T, u and v?
A
d1(u,v)=d2(u,v)
B
d1(u,v)≤d2(u,v)
C
d1(u,v)≥d2(u,v)
D
d1(u,v)≠d2(u,v)

Explanation

Correct : b

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