An undirected graph G has n nodes. Its adjacency matrix is given by an n × n…

GATE · 2005 · CS

An undirected graph G 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?

  1. A.

    Graph C has no minimum spanning tree (MST)

  2. B.

    Graph G has a unique MST of cost n-1

  3. C.

    Graph G has multiple distinct MSTs, each of cost n-1

  4. D.

    Graph G has multiple spanning trees of different costs

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