Combinatorial Optimization

Theory and Algorithms

AvBernhard Korte,Jens Vygen

Häftad, Engelska, 2010

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758 kr

Beskrivning

This comprehensive textbook on combinatorial optimization puts special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. It has arisen as the basis of several courses on combinatorial optimization and more special topics at graduate level. The book contains complete but concise proofs, also for many deep results, some of which did not appear in a book before. Many very recent topics are covered as well, and many references are provided. Thus this book represents the state of the art of combinatorial optimization. This third edition contains a new chapter on facility location problems, an area which has been extremely active in the past few years. Furthermore there are several new sections and further material on various topics. New exercises and updates in the bibliography were added.

Produktinformation

Utgivningsdatum:2010-11-11
Mått:155 x 235 x 35 mm
Vikt:966 g
Format:Häftad
Språk:Engelska
Serie:Algorithms and Combinatorics
Antal sidor:627
Upplaga:4
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783642090929

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Recensioner i media

From the reviews of the 2nd Edition: "Provides a useful collection of the major techniques, results and references in combinatorial optimization for researchers and teachers in the field."- MATHEMATICAL REVIEWS "This book on combinatorial optimization is a beautiful example of the ideal textbook." Operations Resarch Letters 33 (2005), p.216-217 "The second edition (with corrections and many updates) of this very recommendable book documents the relevant knowledge on combinatorial optimization and records those problems and algorithms that define this discipline today. To read this is very stimulating for all the researchers, practitioners, and students interested in combinatorial optimization." OR News 19 (2003), p.42 From the reviews of the third edition: "In the last years Korte and J. Vygen's 'Combinational Optimization. Theory and Algorithms' has become a standard textbook in the field. 5 years after the first edition ... the 3rd revised edition is available. ... several proofs have been streamlined, the references have been updated and new exercises have been added. That makes this volume to one of the most comprehensive and up-to-date textbooks in the field of combinatorial optimization." Rainer E. Burkard, Zentralblatt MATH, Vol. 1099 (1), 2007 "This volume is an encyclopedic reference and textbook on theory and algorithms in combinatorial optimization. ... As befits a reference book, the references are very complete and up to date. ... The book has separate topic and author indexes and a very useful glossary of notation. ... The book ... will appeal primarily to readers who want an advanced textbook that can also serve as a concise reference. ... The current volume by Korte and Vygen is a worthy successor." Brian Borchers, MathDL, May, 2006

Innehållsförteckning

Graphs.- Linear Programming.- Linear Programming Algorithms.- Integer Programming.- Spanning Trees and Arborescences.- Shortest Paths.- Network Flows.- Minimum Cost Flows.- Maximum Matchings.- Weighted Matching.- b-Matchings and T-Joins.- Matroids.- Generalizations of Matroids.- NP-Completeness.- Approximation Algorithms.- The Knapsack Problem.- Bin-Packing.- Multicommodity Flows and Edge-Disjoint Paths.- Network Design Problems.- The Traveling Salesman Problem.- Facility Location.