Computer Sciences > Gate 2019 > Minimum Spanning Tree
Let G be any connection, weighted, undirected graph:

I. G has a unique minimum spanning tree if no two edges of G have the same weight.
II. G has a unique minimum spanning tree if, for every cut G, there is a unique minimum weight edge crossing the cut.


Which of the above two statements is/are TRUE?
A
I only
B
II only
C
Both I and II
D
Neither I nor II

Correct : c

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minimum spanning tree GATE computer science 2019 graph theory unique minimum spanning tree cut in graph edge weights MST properties computer science gate graph connectivity

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