GATE | GATE-CS-2007 | Question 49

Let w be the minimum weight among all edge weights in an undirected connected graph. Let e be a specific edge of weight w . Which of the following is FALSE?
(A) There is a minimum spanning tree containing e.
(B) If e is not in a minimum spanning tree T, then in the cycle formed by adding e to T, all edges have the same weight.
(C) Every minimum spanning tree has an edge of weight w .
(D) e is present in every minimum spanning tree.


Answer: (D)

Explanation: See question 3 of https://www.geeksforgeeks.org/data-structures-and-algorithms-set-12/

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