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 fifth edition has again been updated, revised, and significantly extended, with more than 60 new exercises and new material onvarious topics, including Cayley's formula, blocking flows, faster b -matching separation, multidimensional knapsack, multicommodity max-flow min-cut ratio, and sparsest cut. Thus, this book represents the state of the art of combinatorial optimization. Well-written, popular textbook on combinatorial optimization. One of very few textbooks on this topic. Subject area has manifold applications. Offers complete but concise proofs, making it an invaluable practical tool for students. Updated fifth edition. INDICE: 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. 20Network Design Problems. 21 The Traveling Salesman Problem. 22 Facility Location. Indices.
- ISBN: 978-3-642-24487-2
- Editorial: Springer Berlin Heidelberg
- Encuadernacion: Cartoné
- Páginas: 661
- Fecha Publicación: 31/12/2011
- Nº Volúmenes: 1
- Idioma: Inglés