G is a connected simple undirected graph. Some vertices of G are of odd…

GATE · 2008 · ITModified — slightly modified from the official paper; see the solution

G is a connected simple undirected graph. Some vertices of G are of odd degree. Add a node v to G and make it adjacent to each odd degree vertex of G. The resultant graph is sure to be

  1. A.

    regular

  2. B.

    Complete

  3. C.

    Hamiltonian

  4. D.

    Euler

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