Let G1 = (V, E1) and G2 = (V, E2) be connected graphs on the same vertex set V…

GATE · 2004 · CS

Let G1 = (V, E1) and G2 = (V, E2) be connected graphs on the same vertex set V with more than two vertices. If G1 ∩ G2 = (V, E1 ∩ E2) is not a connected graph, then the graph G1 U G2 = (V, E1 U E2)

  1. A.

    cannot have a cut vertex

  2. B.

    must have a cycle

  3. C.

    must have a cut-edge (bridge)

  4. D.

    has chromatic number strictly greater than those of G1 and G2

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