Gate CS-2005 Question Paper With Solutions

Q. 6 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:

Gate CS-2005 Question Paper With Solutions

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