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Recent Advances in Algorithms and Combinatorics
 
 
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Recent Advances in Algorithms and Combinatorics [Hardcover]

Bruce A. Reed (Editor), Claudia L. Linhares-Sales (Editor)

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Book Description

0387954341 978-0387954349 November 22, 2002 1
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

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Editorial Reviews

Review

From the reviews:

"Combinatorics is one of the fastest growing fields of mathematics. … From the table of contents one can see the wide range of topics covered. The authors are acknowledged researchers of the presented fields and guarantee the high quality of the volume. If you want to be up-to-date in combinatorics you should have this volume close to your hands." (Péter Hajnal, Acta Scientarium Mathematicarum, Vol. 69, 2003)

"This edited volume contains nine carefully written chapters in the area of combinatorics. … The book is very well written and can be read individually by research students. The volume is of definite interest for researchers in combinatorics, graph theory and theoretical computer science. This book is certainly value for money and I would highly recommend it as an essential purchase for a university library." (G. Gutin, Journal of the Operational Research Society, Vol. 55 (5), 2004)

From the Back Cover

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.

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Inside This Book (learn more)
First Sentence:
A set M of edges of a graph G is a matching of G if each vertex of G is incident with at most one edge of M and a perfect, matching of G if each vertex of G is incident with precisely one edge of M. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
matching covered graph, iterated clique graphs, stable set polytope, constraint matrix model, unit distance representation, orderable graphs, regularity lenuna, imperfection ratio, quorum constraint, regularity lemma, ear decomposition, diametral path, removable ear, stable set problem, unit disk graphs, universal vertex, cut decomposition, radio channel assignment, prefix model, semidefinite optimization, perfect graph conjecture, perfect graphs, separating cut, covered graphs, channel assignment problem
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Journal of Combinatorial Theory, New York, Theory of Computing, Annual Symposium, Graph Minors, Rio de Janeiro, Academic Press, Cambridge University Press, Cauchy Schwarz, North Holland, Combinatorial Pattern Matching, Discrete Applied Mathematics, Farkas Lemma, London Math, Nucleic Acids Res, Universidade Federal, American Mathematical Society, Computer Society Press, Discrete Algorithms, Journal of Algorithms, Linhares Sales, University of Oxford
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