Fast Parallel Algorithms for Graph Matching Problems: Combinatorial, Algebraic, and Probabilistic Approach: 9 - Rilegato

Karpinski, Marek; Rytter, Wojciech

Rilegato

ISBN 10: 0198501625 ISBN 13: 9780198501626

Casa editrice: Clarendon Press, 1998

Riassunto

The matching problem is one of the central problems in graph theory as well as in the theory of algorithms and their applications. This book will provide the reader with a comprehensive and straightforward introduction to the basic methods of designing efficient parallel algorithms for graph matching problems. The text is written for students at the beginning graduate level. The exposition is mostly self-contained and example-driven. Prerequisites have been kept to a minimum by including relevant background material. The book contains full details of several new techniques and should also be of interest to research workers in computer science, operations research, discrete mathematics, and electrical engineering. The main theoretical tools are combined into three independent chapters, devoted to combinatorial tools, probabilistic tools, and algebraic tools. One of the main goals of the book is to bring together these three approaches and highlight how their combination works in the development of efficient parallel algorithms. The reader will be provided with a simple and transparent presentation of a variety of interesting algorithms, including many examples and illustrations. The combination of different approaches makes the matching problem and its applications an attractive and fascinating subject. It is hoped that the book represents a meeting point of interesting algorithmic techniques and opens up new algebraic and geometric areas. Marek Karpinski is Chair Professor of Computer Science at the University of Bonn. Wojciech Rytter is Professor of Computer Science at the University of Warsaw and at the University of Liverpool.

Su questo libro

Recensione

This book provides the graduate students with a comprehensive and straightforward introduction to the basic methods of designing efficient parallel algorithms for graph matching problems. (Technique/Scientifique June 1998)

'The book presents for the first time interesting and important results on matching ( and vertex packing) in parallel, which heretofore existed only in scattered journal articles, and hence it should now become the standard reference for anyone who wishes to work in the area' SIAM Review

Contenuti

• Preface
• 1 Introduction:
• 2 Combinatorial tools:
• 3 Three sequential algorithms:
• 4 Probabilistic tools:
• 5 Algebraic tools:
• 6 Maximum cardinality polynomials:
• 7 Inclusion maximal matchings:
• 8 Maximal independent sets:
• 9 Four easy subclasses of graphs:
• 10 Convex bipartite graphs:
• 11 f-Matchings:
• 12 Parallelization of sequential algorithms:
• 13 Pfaffians, counting the number of matchings, and planar graphs:
• 14 Basic applications of matchings to other problems:
• 15 More applications:
• Bibliography

Dettagli dell?edizione

• Editore: Clarendon Press
• Data di pubblicazione: 1998
• ISBN 10: 0198501625
• ISBN 13: 9780198501626
• Rilegatura: Copertina rigida
• Lingua: Inglese
• Numero di pagine: 224
• Contatto del produttore: non disponibile