Combinatorial Optimization: Theory and Algorithms / Edition 4

by Bernhard Korte, Jens Vygen

Overview

This comprehensive textbook on combinatorial optimization places special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. It has arisen as the basis of several courses on combinatorial optimization and more special topics at graduate level. It contains complete but concise proofs, also for many deep results, some of which did not appear in a textbook before. Many very recent topics are covered as well, and many references are provided. Thus this book represents the state of the art of combinatorial optimization.

This fourth edition is again significantly extended, most notably with new material on linear programming, the network simplex algorithm, and the max-cut problem. Many further additions and updates are included as well.

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), 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

"... has become a standard textbook in the field."

Zentralblatt MATH 1099.90054

Product Details

ISBN-13:	9783642090929
Publisher:	Springer Berlin Heidelberg
Publication date:	11/10/2010
Series:	Algorithms and Combinatorics , #21
Edition description:	Softcover reprint of hardcover 4th ed. 2008
Pages:	627
Product dimensions:	6.10(w) x 9.10(h) x 1.50(d)

About the Author

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.

Table of Contents

Graphs.- Linear Programming.- Linear Programming Algorithms.- Integer Programming.- Spanning Trees and Arborescences.- Shortest Paths.- Network Flows.- Minimum Cost Flows.- Maximum Matchings.- Weighted Matching.- b-Matchings and T-Joins.- Matroids.- Generalizations of Matroids.- NP-Completeness.- Approximation Algorithms.- The Knapsack Problem.- Bin-Packing.- Multicommodity Flows and Edge-Disjoint Paths.- Network Design Problems.- The Traveling Salesman Problem.- Facility Location.

Editorial Reviews

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

From the Publisher