Which of the following statements is true for every planar graph on n vertices?

GATE · 2008 · CS

Which of the following statements is true for every planar graph on n vertices?

  1. A.

    The graph has a vertex-cover of size at most 3n/4

  2. B.

    The graph is Eulerian

  3. C.

    The graph is connected

  4. D.

    The graph has an independent set of size at least n/3

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