The Stable Marriage Problem

The Stable Marriage Problem
Author :
Publisher :
Total Pages : 0
Release :
ISBN-10 : 0262515520
ISBN-13 : 9780262515528
Rating : 4/5 (528 Downloads)

Book Synopsis The Stable Marriage Problem by : Dan Gusfield

Download or read book The Stable Marriage Problem written by Dan Gusfield and published by . This book was released on 1989 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


The Stable Marriage Problem Related Books

The Stable Marriage Problem
Language: en
Pages: 0
Authors: Dan Gusfield
Categories: Combinatorial analysis
Type: BOOK - Published: 1989 - Publisher:

GET EBOOK

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 a
Stable Marriage and Its Relation to Other Combinatorial Problems
Language: en
Pages: 90
Authors: Donald Ervin Knuth
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: American Mathematical Soc.

GET EBOOK

Uses the theory of stable marriage to introduce and illustrate a variety of important concepts and techniques of computer science and mathematics: data structur
The Stable Marriage Problem
Language: en
Pages: 19
Authors: D. G. McVitie
Categories: Combinatorial analysis
Type: BOOK - Published: 1970 - Publisher:

GET EBOOK

Two-Sided Matching
Language: en
Pages: 288
Authors: Alvin E. Roth
Categories: Business & Economics
Type: BOOK - Published: 1992-06-26 - Publisher: Cambridge University Press

GET EBOOK

Two-sided matching provides a model of search processes such as those between firms and workers in labor markets or between buyers and sellers in auctions. This
Algorithmics of Matching Under Preferences
Language: en
Pages: 524
Authors: David F. Manlove
Categories: Mathematics
Type: BOOK - Published: 2013 - Publisher: World Scientific

GET EBOOK

Matching problems with preferences are all around us OCo they arise when agents seek to be allocated to one another on the basis of ranked preferences over pote