Bernhard Korte, Jens Vygen

Combinatorial Optimization (eBook, PDF)

Theory and Algorithms

• Format: PDF

Produktbeschreibung

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

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 698
• Erscheinungstermin: 13. März 2018
• Englisch
• ISBN-13: 9783662560396
• Artikelnr.: 52938262

Autorenporträt

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.

Inhaltsangabe

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.

Rezensionen

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