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Combinatorial Optimization
Theory and Algorithms
Buch von Jens Vygen (u. a.)
Sprache: Englisch

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Beschreibung
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 sixth edition has again been updated, revised, and significantly extended. Among other additions, there are new sections on shallow-light trees, submodular function maximization, smoothed analysis of the knapsack problem, the (ln 4+¿)-approximation for Steiner trees, and the VPN theorem. Thus, this book continues torepresent the state of the art of combinatorial optimization.
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 sixth edition has again been updated, revised, and significantly extended. Among other additions, there are new sections on shallow-light trees, submodular function maximization, smoothed analysis of the knapsack problem, the (ln 4+¿)-approximation for Steiner trees, and the VPN theorem. Thus, this book continues torepresent the state of the art of combinatorial optimization.
Über den Autor

Bernhard Korte is professor of operations research and director of the Research Institute for Discrete Mathematics at the University of Bonn. He founded the Arithmeum in Bonn and received numerous awards, including a honorary doctoral degree and the "Staatspreis NRW". His research interests include combinatorial optimization and chip design.

Jens Vygen is professor of discrete mathematics at the University of Bonn and principal investigator of the Hausdorff Center for Mathematics. He also co-authored the textbook "Algorithmic Mathematics" and has served as editor of several books and journals. His research interests include combinatorial optimization and algorithms for chip design.

Zusammenfassung

Well-written, popular textbook on combinatorial optimization

One of very few textbooks on this topic

Subject area has manifold applications

Offers complete but concise proofs, making it an invaluable practical tool for students

Updated fifth edition

Inhaltsverzeichnis

1 Introduction.- 2 Graphs.- 3 Linear Programming.- 4 Linear Programming Algorithms.- 5 Integer Programming.- 6 Spanning Trees and Arborescences.- 7 Shortest Paths.- 8 Network Flows.- 9 Minimum Cost Flows.- 10 Maximum Matchings.- 11 Weighted Matching.- 12 b-Matchings and T -Joins.- 13 Matroids.- 14 Generalizations of Matroids.- 15 NP-Completeness.- 16 Approximation Algorithms.- 17 The Knapsack Problem.- 18 Bin-Packing.- 19 Multicommodity Flows and Edge-Disjoint Paths.- 20 Network Design Problems.- 21 The Traveling Salesman Problem.- 22 Facility Location.- Indices.

Details
Erscheinungsjahr: 2018
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Algorithms and Combinatorics
Inhalt: XXI
698 S.
78 s/w Illustr.
698 p. 78 illus.
ISBN-13: 9783662560389
ISBN-10: 3662560380
Sprache: Englisch
Herstellernummer: 978-3-662-56038-9
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Vygen, Jens
Korte, Bernhard
Auflage: 6th ed. 2018
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Algorithms and Combinatorics
Maße: 241 x 160 x 44 mm
Von/Mit: Jens Vygen (u. a.)
Erscheinungsdatum: 23.03.2018
Gewicht: 1,232 kg
Artikel-ID: 111047545
Über den Autor

Bernhard Korte is professor of operations research and director of the Research Institute for Discrete Mathematics at the University of Bonn. He founded the Arithmeum in Bonn and received numerous awards, including a honorary doctoral degree and the "Staatspreis NRW". His research interests include combinatorial optimization and chip design.

Jens Vygen is professor of discrete mathematics at the University of Bonn and principal investigator of the Hausdorff Center for Mathematics. He also co-authored the textbook "Algorithmic Mathematics" and has served as editor of several books and journals. His research interests include combinatorial optimization and algorithms for chip design.

Zusammenfassung

Well-written, popular textbook on combinatorial optimization

One of very few textbooks on this topic

Subject area has manifold applications

Offers complete but concise proofs, making it an invaluable practical tool for students

Updated fifth edition

Inhaltsverzeichnis

1 Introduction.- 2 Graphs.- 3 Linear Programming.- 4 Linear Programming Algorithms.- 5 Integer Programming.- 6 Spanning Trees and Arborescences.- 7 Shortest Paths.- 8 Network Flows.- 9 Minimum Cost Flows.- 10 Maximum Matchings.- 11 Weighted Matching.- 12 b-Matchings and T -Joins.- 13 Matroids.- 14 Generalizations of Matroids.- 15 NP-Completeness.- 16 Approximation Algorithms.- 17 The Knapsack Problem.- 18 Bin-Packing.- 19 Multicommodity Flows and Edge-Disjoint Paths.- 20 Network Design Problems.- 21 The Traveling Salesman Problem.- 22 Facility Location.- Indices.

Details
Erscheinungsjahr: 2018
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Algorithms and Combinatorics
Inhalt: XXI
698 S.
78 s/w Illustr.
698 p. 78 illus.
ISBN-13: 9783662560389
ISBN-10: 3662560380
Sprache: Englisch
Herstellernummer: 978-3-662-56038-9
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Vygen, Jens
Korte, Bernhard
Auflage: 6th ed. 2018
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Algorithms and Combinatorics
Maße: 241 x 160 x 44 mm
Von/Mit: Jens Vygen (u. a.)
Erscheinungsdatum: 23.03.2018
Gewicht: 1,232 kg
Artikel-ID: 111047545
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