Combinatorial Optimization - Bernhard Korte

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Résumé :
This comprehensive textbook on combinatorial optimization puts 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. The book contains complete but concise proofs, also for many deep results, some of which did not appear in a book 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 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....

Biographie:
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....

Sommaire:
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.