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Let ๐บ be any connected, weighted, undirected graph.

Let ๐บ be any connected, weighted, undirected graph.

Q. Let ๐บ be any connected, weighted, undirected graph.

  1. ๐บ has a unique minimum spanning tree, if no two edges of ๐บ have the same weight.
  2. ๐บ has a unique minimum spanning tree, if, for every cut of ๐บ, 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

Ans: ย Both I and II

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