β Scribed by M. H. de Carvalho, C. L. Lucchesi (auth.), Bruce A. Reed, ClΓ‘udia L. Sales (eds.)
No coin nor oath required. For personal study only.
Combinatorics is one of the fastest growing fields of mathematics. One reason for this is because many practical problems can be modeled and then efficiently solved using combinatorial theory. This real world motivation for studying algorithmic combinatorics has led not only to the development of many software packages but also to some beautiful mathematics which has no direct application to applied problems. This book highlights a few of the exciting recent developments in algorithmic combinatorics, including the search for patterns in DNA and protein sequences, the theory of semi-definite programming and its role in combinatorial optimization, and the algorithmic aspects of tree decompositions and it's applications to the theory of databases, code optimization, and bioinformatics.
Claudia Linhares-Sales is Assistant Professor of Computer Science at the Federal University of Cear, Brazil. Bruce Reed is Canada Research Chair in Graph Theory at the School of Computer Science of McGill Univeristy.
Front Matter....Pages i-xiii
The Matching Lattice....Pages 1-25
Discrete Mathematics and Radio Channel Assignment....Pages 27-63
On the coloration of perfect graphs....Pages 65-84
Algorithmic Aspects of Tree Width....Pages 85-107
A Survey on Clique Graphs....Pages 109-136
Semidefinite Programs and Combinatorial Optimization....Pages 137-194
Approximability of NP-Optimization Problems....Pages 195-243
Pattern Inference under many Guises....Pages 245-287
SzemerΓ©diβs Regularity Lemma and Quasi-randomness....Pages 289-351
Combinatorics; Algorithm Analysis and Problem Complexity; Operations Research, Management Science
π SIMILAR VOLUMES
Excellent authors, such as Lovasz, one of the five best combinatorialists in the world; Thematic linking that makes it a coherent collection; Will appeal to a variety of communities, such as mathematics, computer science and operations research
This book consists of nine survey articles written by outstanding researchers on various recent advances in algorithmic combinatorics. The articles cover both recent areas of application and exciting new theoretical developments. The book is accessible to Ph.D. students in discrete mathematics or th
Combinatorics is one of the fastest growing fields of mathematics. One reason for this is because many practical problems can be modeled and then efficiently solved using combinator combinatorial theory. This real world motivation for studying algorithmic combinatorics has led not only to the deve
This is the most comprehensive compilation on combinatorial optiomization I have seen so far. Usually, Papadimitriou's book is a good place for this material - but in many cases, looking for proofs and theorems - I had to use several books: (*) Combinatorial Optimization Algorithms and Complexity by