This complete textbook on combinatorial optimization locations special emphasis on theoretical effects and algorithms with provably good performance, unlike heuristics. it truly is according to quite a few classes on combinatorial optimization and really expert themes, normally at graduate point. This e-book experiences the basics, covers the classical themes (paths, flows, matching, matroids, NP-completeness, approximation algorithms) intimately, and proceeds to complicated and up to date subject matters, a few of that have no longer seemed in a textbook prior to. Throughout, it includes whole yet concise proofs, and in addition offers numerous exercises and references. This 5th variation has back been up-to-date, revised, and significantly extended, with greater than 60 new routines and new fabric on various topics, together with Cayley's formulation, blocking off flows, faster b-matching separation, multidimensional knapsack, multicommodity max-flow min-cut ratio, and sparsest lower. therefore, this publication represents the cutting-edge of combinatorial optimization.
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