Let 𝐺 be any connected, weighted, undirected graph.

Q. Let 𝐺 be any connected, weighted, undirected graph.

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

Ans: Β Both I and II

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