Recent Advances in Algorithms and Combinatorics

Claudia L. Linhares-Sales

ISBN 10: 1468492683 / ISBN 13: 9781468492682

Editore: Springer New York, Springer US, 2012

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Druck auf Anfrage Neuware - Printed after ordering - Combinatorics is one of the fastest growing elds of mathematics. In large measure this is because many practical problems can be modeled and then e ciently 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 nodirectapplicationtoappliedproblems. Inthisvolumewehighlightsome exciting recent developments in algorithmic combinatorics. Most practical applications of algorithmic combinatorics would be - possible without the use of the computer. As computers become ever more powerful, more and more applications become possible. Computational biology is one example of a relatively new eld in which algorithmic c- binatorics plays a key role. The chapter by Sagot and Wakabayashi in this volumediscusseshowcombinatorialtoolscanbeusedtosearchforpatterns in DNA and protein sequences. The information technology revolution has not only allowed for the r- olution of practical problems using combinatorial techniques, it has also been the source of many new combinatorial problems. One example is - dio channel assignment. In this problem we have a number of transmitters each of which must handle a number of calls. Each call must be assigned a frequency in such a way that interference is avoided (thus calls handled by the same transmitter are assigned di erent frequencies as are calls handled by transmitters which are near each other). The explosive growth in the use of the frequency spectrum due to, e. g. , mobile telephone networks, has made it a very valuable resource.

Codice articolo 9781468492682

Dati bibliografici

• Titolo: Recent Advances in Algorithms and Combinatorics
• Editore: Springer New York, Springer US
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 1468492683
• ISBN 13: 9781468492682
• Rilegatura: Taschenbuch
• Condizione: Neu

Descrizione articolo

Riassunto

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 theoretical computer science and is intended for researchers in the field of combinatorics.

Dalla quarta di copertina

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.