Consider a simple connected graph G with n vertices and n-edges (n>2). Then,…

GATE · 1993 · CS · Question 8 subparts

Consider a simple connected graph G with n vertices and n-edges (n>2). Then, which of the following statements are true?

  1. A.

    G has no cycles.

  2. B.

    The graph obtained by removing any edge from G is not connected.

  3. C.

    G has at least one cycle.

  4. D.

    The graph obtained by removing any two edges from G is not connected.

  5. E.

    None of the above.

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