Integer and Combinatorial Optimization
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Rave reviews for INTEGER AND COMBINATORIAL OPTIMIZATION"This book provides an excellent introduction and survey of traditional fields of combinatorial optimization . . . It is indeed one of the best and most complete texts on combinatorial optimization . . . available. [And] with more than 700 entries, [it] has quite an exhaustive reference list."-Optima"A unifying approach to optimization problems is to formulate them like linear programming problems, while restricting some or all of the variables to the integers. This book is an encyclopedic resource for such formulations, as well as for understanding the structure of and solving the resulting integer programming problems."-Computing Reviews"[This book] can serve as a basis for various graduate courses on discrete optimization as well as a reference book for researchers and practitioners."-Mathematical Reviews"This comprehensive and wide-ranging book will undoubtedly become a standard reference book for all those in the field of combinatorial optimization."-Bulletin of the London Mathematical Society"This text should be required reading for anybody who intends to do research in this area or even just to keep abreast of developments."-Times Higher Education Supplement, LondonAlso of interest . . .INTEGER PROGRAMMING Laurence A. Wolsey Comprehensive and self-contained, this intermediate-level guide to integer programming provides readers with clear, up-to-date explanations on why some problems are difficult to solve, how techniques can be reformulated to give better results, and how mixed integer programming systems can be used more effectively. 1998 (0-471-28366-5) 260 pp. Booknews This graduate textbook focuses on the mathematical underpinnings of the algorithms that make it possible to solve the large and complex models that arise in practical applications. The three parts cover the foundations of discrete optimization theory and techniques, general integer programming, and highly structured combinatorial optimization problems. A reprint of the 1988 edition. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Pt. IFoundations1I.1The Scope of Integer and Combinatorial Optimization3I.2Linear Programming27I.3Graphs and Networks50I.4Polyhedral Theory83I.5Computational Complexity114I.6Polynomial-Time Algorithms for Linear Programming146I.7Integer Lattices182Pt. IIGeneral Integer Programming203II.1The Theory of Valid Inequalities205II.2Strong Valid Inequalities and Facets for Structured Integer Programs259II.3Duality and Relaxation296II.4General Algorithms349II.5Special-Purpose Algorithms383II.6Applications of Special-Purpose Algorithms433Pt. IIICombinatorial Optimization533III.1Integral Polyhedra535III.2Matching608III.3Matroid and Submodular Function Optimization659References721Author Index749Subject Index755
