Computational Combinatorial Optimization: Optimal or

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Proposition 2.6 If n is any natural number then 1 + 2 + ··· + n = n(n + 1) 2 Proof: The statement P(n) is 1 + 2 + ··· + n = n(n + 1) 2 Now let us follow the method of induction closely. Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. This is a map on the torus that requires seven colors; it shows that Heawood’s estimate is sharp for this surface.

Pages: 310

Publisher: Springer; 2001 edition (June 13, 2008)

ISBN: 3540428771

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