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This complete textbook on combinatorial optimization locations special emphasis on theoretical effects and algorithms with provably good performance, unlike heuristics. it truly is in response to quite a few classes on combinatorial optimization and really good subject matters, quite often at graduate point. This publication studies the basics, covers the classical issues (paths, flows, matching, matroids, NP-completeness, approximation algorithms) intimately, and proceeds to complex and up to date issues, a few of that have now not seemed in a textbook earlier than. Throughout, it comprises whole yet concise proofs, and likewise offers numerous exercises and references. This 5th version 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 state-of-the-art of combinatorial optimization.

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