Let G be a weighted undirected graph and e be an edge with maximum weight in…

GATE · 2005 · IT

Let G be a weighted undirected graph and e be an edge with maximum weight in G. Suppose there is a minimum weight spanning tree in G containing the edge e. Which of the following statements is always TRUE?

  1. A.

    There exists a cutset in G having all edges of maximum weight.

  2. B.

    There exists a cycle in G having all edges of maximum weight

  3. C.

    Edge e cannot be contained in a cycle.

  4. D.

    All edges in G have the same weight

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