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GATE | GATE-CS-2005 | Question 6

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  • Last Updated : 28 Jun, 2021

An undirected graph C has n nodes. Its adjacency matrix is given by an n × n square matrix whose
(i) diagonal elements are 0’s, and
(ii) non-diagonal elements are l’s.
Which one of the following is TRUE?
(A) Graph G has no minimum spanning tree (MST)
(B) Graph G has a unique MST of cost n-1
(C) Graph G has multiple distinct MSTs, each of cost n-1
(D) Graph G has multiple spanning trees of different costs

Answer: (C)

Explanation: See Question 2 of

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