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Consider the graph G drawn below. (a) Does G have a Hamilton path? (b) Determine a (G). (c) Let S be a maximal independent

Consider the graph G drawn below. (a) Does G have a Hamilton path? (b) Determine a (G). (c) Let S be a maximal independent set of G. What is the minimum size of S? Justify each answer (e.g., with a proof).

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