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TitleRecent Advances in Algorithms and Combinatorics [electronic resource] / edited by Bruce A. Reed, Clรกudia L. Sales
ImprintNew York, NY : Springer New York : Imprint: Springer, 2003
Connect tohttp://dx.doi.org/10.1007/b98891
Descript XIV, 352 p. online resource

SUMMARY

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


CONTENT

The Matching Lattice -- Discrete Mathematics and Radio Channel Assignment -- On the coloration of perfect graphs -- Algorithmic Aspects of Tree Width -- A Survey on Clique Graphs -- Semidefinite Programs and Combinatorial Optimization -- Approximability of NP-Optimization Problems -- Pattern Inference under many Guises -- Szemerรฉdiโ{128}{153}s Regularity Lemma and Quasi-randomness


Mathematics Algorithms Operations research Management science Discrete mathematics Combinatorics Mathematics Discrete Mathematics Combinatorics Algorithm Analysis and Problem Complexity Operations Research Management Science



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