Combinatorial Optimization: Theory and Algorithms

ISBN-13: 9783642090929 / Angielski / Miękka / 2010 / 627 str.

Bernhard Korte;Jens Vygen

Opis

Now fully updated in a third edition, this is a comprehensive textbook on combinatorial optimization. It puts special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. The book contains complete but concise proofs, also for many deep results, some of which have not appeared in print before. Recent topics are covered as well, and numerous references are provided. This third edition contains a new chapter on facility location problems, an area which has been extremely active in the past few years. Furthermore there are several new sections and further material on various topics. New exercises and updates in the bibliography were added.

Recenzje

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

Spis treści

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.

Blurb

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