Combinatorial Optimization

Theory and Algorithms

Bernhard Korte, Jens Vygen

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English

Springer-Verlag Berlin and Heidelberg GmbH & Co. K
11 January 2019

Management decision making; Operational research; Discrete mathematics; Optimisation; Maths for computer scientists

Series: Algorithms and Combinatorics

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+ɛ)-approximation for Steiner trees, and the VPN theorem. Thus, this book continues torepresent the state of the art of combinatorial optimization.

By: Bernhard Korte, Jens Vygen
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Publication: Germany
Edition: Softcover reprint of the original 6th ed. 2018
Volume: 21
Dimensions: Height: 235mm, Width: 155mm, Spine: 37mm
Weight: 1.086kg
ISBN: 9783662585665
ISBN 10: 3662585669
Series: Algorithms and Combinatorics
Pages: 698
Publication Date: 11 January 2019
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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.

"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."