Let G be an arbitrary graph with n nodes and k components. If a vertex is…

GATE · 2003 · CSISRO Scientist/Engineer SC · 2009 · Computer Science

Let G be an arbitrary graph with n nodes and k components. If a vertex is removed from G, the number of components in the resultant graph must necessarily lie between

  1. A.

    k and n

  2. B.

    k - 1 and k + 1

  3. C.

    k - 1 and n - 1

  4. D.

    k + 1 and n - k

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