The Stable Marriage Problem: Structure and Algorithms (Foundations of Computing)

Gusfield, Dan; Irving, Robert W.

ISBN 10: 0262515520 / ISBN 13: 9780262515528

Published by MIT Press, 2003

About this Item

Seller Inventory # BSM.1AS2S

Bibliographic Details

• Title: The Stable Marriage Problem: Structure and Algorithms (Foundations of Computing)
• Publisher: MIT Press
• Publication Date: 2003
• Language: English
• ISBN 10: 0262515520
• ISBN 13: 9780262515528
• Binding: Soft cover
• Condition: very_good

About this title

Synopsis

This book probes the stable marriage problem and its variants as a rich source of problems and ideas that illustrate both the design and analysis of efficient algorithms. It covers the most recent structural and algorithmic work on stable matching problems, simplifies and unifies many earlier proofs, strengthens several earlier results, and presents new results and more efficient algorithms. The authors develop the structure of the set of stable matchings in the stable marriage problem in a more general and algebraic context than has been done previously; they discuss the problem's structure in terms of rings of sets, which allows many of the most useful features to be seen as features of a more general set of problems. The relationship between the structure of the stable marriage problem and the more general stable roommates problem is demonstrated, revealing many commonalities. The results the authors obtain provide an algorithmic response to the practical, and political, problems created by the asymmetry inherent in the Gale Shapley solutions, leading to alternative methods and better compromises than are provided by the Gale Shapley method. And, in contrast to Donald Knuth's earlier work which primarily focused on the application of mathematics to the analysis of algorithms, this book illustrates the productive and almost inseparable relationship between mathematical insight and the design of efficient algorithms. Dan Gusfield is Associate Professor of Computer Science at the University of California, Davis. Robert W. Irving is Senior Lecturer in Computing Science at the University of Glasgow. The Stable Marriage Problem is included in the Foundations of Computing Series, edited by Michael Garey and Albert Meyer.

About the Author

Dan Gusfield is Professor of Computer Science at the University of California, Davis. He is the coauthor of The Stable Marriage Problem: Structure and Algorithms (MIT Press) and author of Algorithms on Strings, Trees, and Sequences.

Robert W. Irving is Senior Lecturer in Computing Science at the University of Glasgow.