These questions deal with polygonal guarding:(adsbygoogle = window.adsbygoogle || []).push({});

a) Suppose P is a simple polygon where g(P) = 2. Prove or disprove that P can always be guarded by two guards that can always see one another (ie the definition of visibility, but not clear visibility)

To disprove all is needed is a counterexample, to prove, a short justification to convince the reader of the truth of the claim is needed, not necessarily a formal proof.

b) Again suppose P is a simple polygon with g(P) = 2. Prove or disprove that P always has a guard network of at most 3.

c) Now suppose that P is a simple polygon with g(P) = 3. Prove or disprove that P always has a guard network of at most 4.

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# Homework Help: Graph Theory problems

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