Bibliographic Information

Paths, flows, matchings

(Algorithms and combinatorics, 24. Combinatorial optimization : polyhedra and efficiency / Alexander Schrijver ; v. A)

Springer, c2003

Available at  / 51 libraries

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"Chapters 1-38"

Includes bibliographical references

Description and Table of Contents

Description

An in-depth overview of polyhedral methods and efficient algorithms in combinatorial optimization. These methods form a broad, coherent and powerful kernel in combinatorial optimization, with strong links to discrete mathematics, mathematical programming and computer science. In eight parts, various areas are treated, each starting with an elementary introduction to the area, with short, elegant proofs of the principal results, and each evolving to the more advanced methods and results, with full proofs of some of the deepest theorems in the area. Over 4000 references to further research are given, and historical surveys on the basic subjects are presented.

Table of Contents

Introduction.- Paths and Flows.- Bipartite Matching and Covering.- Nonbipartite Matching and Covering.- Matroids and Submodular Functions.- Trees, Branchings, and Connectors.- Cliques, Stable Sets and Colouring.- Multiflows and Disjoint Paths.- Hypergraphs.- Survey of Problems, Questions and Conjectures.- References.- Name Index.- Subject Index.

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