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Question

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

a.

The graph is connected

b.

The graph is Eulerian

c.

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

d.

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

Answer: (c).The graph has a vertex-cover of size at most 3n/4

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

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