Combinatorial Optimization: Theory and Algorithms

Combinatorial Optimization: Theory and Algorithms
ISBN-10
3642244882
ISBN-13
9783642244889
Series
Combinatorial Optimization
Category
Mathematics
Pages
660
Language
English
Published
2012-01-10
Publisher
Springer Science & Business Media
Authors
Bernhard Korte, Jens Vygen

Description

This comprehensive textbook on combinatorial optimization places special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. It is based on numerous courses on combinatorial optimization and specialized topics, mostly at graduate level. This book reviews the fundamentals, covers the classical topics (paths, flows, matching, matroids, NP-completeness, approximation algorithms) in detail, and proceeds to advanced and recent topics, some of which have not appeared in a textbook before. Throughout, it contains complete but concise proofs, and also provides numerous exercises and references. This fifth edition has again been updated, revised, and significantly extended, with more than 60 new exercises and new material on various topics, including Cayley's formula, blocking flows, faster b-matching separation, multidimensional knapsack, multicommodity max-flow min-cut ratio, and sparsest cut. Thus, this book represents the state of the art of combinatorial optimization.

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