1. Let S = {1, 2, 3, 4} and let F denote the set of all nonempty subsets of S that have at most twoelements. Draw the intersection graph of F. 2. Construct a 3-regular graph with with 10 vertices.Is it possible to have a 3-regular graph with 15vertices?

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1. Let S = {1, 2, 3, 4} and let F denote the set of all nonempty subsets of S that have at most twoelements. Draw the intersection graph of F.
2. Construct a 3-regular graph with with 10 vertices.Is it possible to have a 3-regular graph with 15vertices?

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