GATE | CS | 2019 | Algorithms | Minimum Spanning Tree | Question 47

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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?

Neither I nor II

I only

II only

Both I and II

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