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Let x be a fixed positive integer. Is it possible to have a graph G with...

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Advance Math

Let x be a fixed positive integer. Is it possible to have agraph G with 4x + 1 vertices such that G has a vertex of degree dfor all d = 1, 2, ..., 4x + 1? Justify your answer. (Note: Thegraph G does not need to be simple.)

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