Algorithms | Graph Minimum Spanning Tree | Question 7

Let G be an undirected connected graph with distinct edge weight. Let emax be the edge with maximum weight and emin the edge with minimum weight. Which of the following statements is false? (GATE CS 2000)
(A) Every minimum spanning tree of G must contain emin
(B) If emax is in a minimum spanning tree, then its removal must disconnect G
(C) No minimum spanning tree contains emax
(D) G has a unique minimum spanning tree


Answer: (C)

Explanation: (a) and (b) are always true.
(c) is false because (b) is true.
(d) is true because all edge weights are distinct for G.

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