Combinatorial optimization : theory and algorithms

"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. Thi...

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Bibliographische Detailangaben
Hauptverfasser: Korte, Bernhard H., 1938-2025, Vygen, Jens, 1967- (VerfasserIn)
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Berlin ; Heidelberg : Springer [20..].
Cham : Springer Nature
Ausgabe:Fifth edition 2012.
Schriftenreihe:Algorithms and combinatorics 21
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Anmerkung: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Combinatorial optimization, theory and algorithms, Bernhard Korte, Jens Vygen, Fifth edition, 2012, Heidelberg, Springer, 1 vol. (XIX-659 p.), Algorithms and Combinatorics, 978-3-642-24487-2
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100 1 |a Korte, Bernhard H.,  |d 1938-2025. 
245 1 0 |a Combinatorial optimization :  |b theory and algorithms   |c Bernhard Korte, Jens Vygen. 
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500 |a Archives Springer e-books (Licence nationale) 
505 1 |a 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 
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520 |a "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." 
700 1 |a Vygen, Jens,  |d 1967-  |4 aut 
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