This accomplished textbook on combinatorial optimization areas special emphasis on theoretical effects and algorithms with provably good performance, unlike heuristics. it's in response to a variety of classes on combinatorial optimization and really expert issues, commonly at graduate point. This publication stories the basics, covers the classical subject matters (paths, flows, matching, matroids, NP-completeness, approximation algorithms) intimately, and proceeds to complicated and up to date issues, a few of that have no longer seemed in a textbook sooner than. Throughout, it comprises entire yet concise proofs, and in addition offers numerous exercises and references.

This 5th variation has back been up to date, revised, and significantly extended, with greater than 60 new workouts and new fabric on various topics, together with Cayley's formulation, blockading flows, faster b-matching separation, multidimensional knapsack, multicommodity max-flow min-cut ratio, and sparsest minimize. therefore, this e-book represents the state-of-the-art of combinatorial optimization.

Best Combinatorics books

Bent Functions: Results and Applications to Cryptography

Bent features: effects and functions to Cryptography deals a different survey of the gadgets of discrete arithmetic referred to as Boolean bent services. As those maximal, nonlinear Boolean capabilities and their generalizations have many theoretical and useful purposes in combinatorics, coding conception, and cryptography, the textual content presents an in depth survey in their major effects, providing a scientific assessment in their generalizations and functions, and contemplating open difficulties in type and systematization of bent features.

A First Course in Combinatorial Mathematics (Oxford Applied Mathematics and Computing Science Series)

Now in a brand new moment variation, this quantity provides a transparent and concise remedy of an more and more vital department of arithmetic. a special introductory survey whole with easy-to-understand examples and pattern difficulties, this article comprises info on such simple combinatorial instruments as recurrence family, producing capabilities, occurrence matrices, and the non-exclusion precept.

Winning Solutions (Problem Books in Mathematics)

This ebook presents the mathematical instruments and problem-solving event had to effectively compete in high-level challenge fixing competitions. each one part provides vital historical past info after which offers numerous labored examples and workouts to aid bridge the space among what the reader may well already recognize and what's required for high-level competitions.

Combinatorial Designs: A Tribute to Haim Hanani (Annals of Discrete Mathematics)

Haim Hanani pioneered the innovations for developing designs and the speculation of pairwise balanced designs, major on to Wilson's lifestyles Theorem. He additionally led the way in which within the research of resolvable designs, protecting and packing difficulties, latin squares, 3-designs and different combinatorial configurations.

Additional resources for Combinatorial Optimization: Theory and Algorithms (Algorithms and Combinatorics)

Show sample text content

Rated 4.76 of 5 – based on 30 votes