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＜電子ブック＞
Combinatorial Optimization : Theory and Algorithms / by Bernhard Korte, Jens Vygen
(Algorithms and Combinatorics. ISSN:21976783 ; 21)

版	5th ed. 2012.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2012
本文言語	英語
大きさ	XX, 660 p : online resource
著者標目	*Korte, Bernhard author Vygen, Jens author SpringerLink (Online service)
件　名	LCSH:Discrete mathematics LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Computer science -- Mathematics  全ての件名で検索 LCSH:Operations research FREE:Discrete Mathematics FREE:Calculus of Variations and Optimization FREE:Mathematics of Computing FREE:Operations Research and Decision Theory
一般注記	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 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 thestate of the art of combinatorial optimization. From the reviews of the previous editions: "This book on combinatorial optimization is a beautiful example of the ideal textbook." Operations Research Letters 33 (2005) "..... 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) "... has become a standard textbook in the field." Zentralblatt MATH 1099.90054  "...gives an excellent comprehensive view of the exciting field of combinatorial optimization."  Zentralblatt MATH 1149.90126 HTTP:URL=https://doi.org/10.1007/978-3-642-24488-9

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