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Graph Theory Problems and Solutions - Tom Davis
1 Problems 1. Prove that the sum of the degrees of the vertices of any nite graph is even. ... 2 Solutions 1. Prove that the sum of the degrees of the vertices of any nite graph is even. Proof: Each edge ends at two vertices. If we begin with just the vertices and no edges, every ... can have at most n 1 different degrees, but since there are ...
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