This accomplished textbook on combinatorial optimization locations special emphasis on theoretical effects and algorithms with provably good performance, not like heuristics. it's in line with various classes on combinatorial optimization and really expert issues, generally at graduate point. This booklet studies the basics, covers the classical subject matters (paths, flows, matching, matroids, NP-completeness, approximation algorithms) intimately, and proceeds to complex and up to date issues, a few of that have no longer seemed in a textbook ahead of. Throughout, it comprises entire yet concise proofs, and likewise presents 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. hence, this publication represents the state-of-the-art of combinatorial optimization.
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