The Stable Marriage Problem

The Stable Marriage Problem
Author: Dan Gusfield
Publisher:
Total Pages: 0
Release: 1989
Genre: Combinatorial analysis
ISBN: 9780262515528
GET BOOK

Download The Stable Marriage Problem Book in PDF, Epub and Kindle

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.

Stable Marriage and Its Relation to Other Combinatorial Problems

Stable Marriage and Its Relation to Other Combinatorial Problems
Author: Donald Ervin Knuth
Publisher: American Mathematical Soc.
Total Pages: 90
Release: 1997
Genre: Mathematics
ISBN: 0821806033
GET BOOK

Download Stable Marriage and Its Relation to Other Combinatorial Problems Book in PDF, Epub and Kindle

Uses the theory of stable marriage to introduce and illustrate a variety of important concepts and techniques of computer science and mathematics: data structures, control structures, combinatorics, probability, analysis, algebra, and especially the analysis of algorithms.

The Stable Marriage Problem

The Stable Marriage Problem
Author: D. G. McVitie
Publisher:
Total Pages: 19
Release: 1970
Genre: Combinatorial analysis
ISBN: 9780902383111
GET BOOK

Download The Stable Marriage Problem Book in PDF, Epub and Kindle

Algorithmics of Matching Under Preferences

Algorithmics of Matching Under Preferences
Author: David F. Manlove
Publisher: World Scientific
Total Pages: 524
Release: 2013
Genre: Mathematics
ISBN: 9814425257
GET BOOK

Download Algorithmics of Matching Under Preferences Book in PDF, Epub and Kindle

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 potential outcomes. Efficient algorithms are needed for producing matchings that optimise the satisfaction of the agents according to their preference lists.In recent years there has been a sharp increase in the study of algorithmic aspects of matching problems with preferences, partly reflecting the growing number of applications of these problems worldwide. This book describes the most important results in this area, providing a timely update to The Stable Marriage Problem: Structure and Algorithms (D Gusfield and R W Irving, MIT Press, 1989) in connection with stable matching problems, whilst also broadening the scope to include matching problems with preferences under a range of alternative optimality criteria."

Two-Sided Matching

Two-Sided Matching
Author: Alvin E. Roth
Publisher: Cambridge University Press
Total Pages: 288
Release: 1992-06-26
Genre: Business & Economics
ISBN: 1107782430
GET BOOK

Download Two-Sided Matching Book in PDF, Epub and Kindle

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 book gives a comprehensive account of recent results concerning the game-theoretic analysis of two-sided matching. The focus of the book is on the stability of outcomes, on the incentives that different rules of organization give to agents, and on the constraints that these incentives impose on the ways such markets can be organized. The results for this wide range of related models and matching situations help clarify which conclusions depend on particular modeling assumptions and market conditions, and which are robust over a wide range of conditions. 'This book chronicles one of the outstanding success stories of the theory of games, a story in which the authors have played a major role: the theory and practice of matching markets ... The authors are to be warmly congratulated for this fine piece of work, which is quite unique in the game-theoretic literature.' From the Foreword by Robert Aumann

The Seven Principles for Making Marriage Work

The Seven Principles for Making Marriage Work
Author: John Gottman, PhD
Publisher: Harmony
Total Pages: 321
Release: 2015-05-05
Genre: Family & Relationships
ISBN: 0553447718
GET BOOK

Download The Seven Principles for Making Marriage Work Book in PDF, Epub and Kindle

NEW YORK TIMES BESTSELLER • Over a million copies sold! “An eminently practical guide to an emotionally intelligent—and long-lasting—marriage.”—Daniel Goleman, author of Emotional Intelligence The Seven Principles for Making Marriage Work has revolutionized the way we understand, repair, and strengthen marriages. John Gottman’s unprecedented study of couples over a period of years has allowed him to observe the habits that can make—and break—a marriage. Here is the culmination of that work: the seven principles that guide couples on a path toward a harmonious and long-lasting relationship. Straightforward yet profound, these principles teach partners new approaches for resolving conflicts, creating new common ground, and achieving greater levels of intimacy. Gottman offers strategies and resources to help couples collaborate more effectively to resolve any problem, whether dealing with issues related to sex, money, religion, work, family, or anything else. Packed with new exercises and the latest research out of the esteemed Gottman Institute, this revised edition of The Seven Principles for Making Marriage Work is the definitive guide for anyone who wants their relationship to attain its highest potential.

Algorithms and Computation

Algorithms and Computation
Author: Toshihide Ibaraki
Publisher: Springer Science & Business Media
Total Pages: 764
Release: 2003-12-03
Genre: Computers
ISBN: 3540206957
GET BOOK

Download Algorithms and Computation Book in PDF, Epub and Kindle

This book constitutes the refereed proceedings of the 14th International Symposium on Algorithms and Computation, ISAAC 2003, held in Kyoto, Japan, in December 2003. The 73 revised full papers presented were carefully reviewed and selected from 207 submissions. The papers are organized in topical sections on computational geometry, graph and combinatorial algorithms, computational complexity, quantum computing, combinatorial optimization, scheduling, computational biology, distributed and parallel algorithms, data structures, combinatorial and network optimization, computational complexity and cryptography, game theory and randomized algorithms, and algebraic and arithmetic computation.

Fourth IFIP International Conference on Theoretical Computer Science - TCS 2006

Fourth IFIP International Conference on Theoretical Computer Science - TCS 2006
Author: Gonzalo Navarro
Publisher: Springer
Total Pages: 0
Release: 2014-12-06
Genre: Computers
ISBN: 9781489990501
GET BOOK

Download Fourth IFIP International Conference on Theoretical Computer Science - TCS 2006 Book in PDF, Epub and Kindle

The papers contained in this volume were presented at the fourth edition of the IFIP International Conference on Theoretical Computer Science (IFIP TCS), held August 23-24, 2006 in Santiago, Chile. They were selected from 44 pa pers submitted from 17 countries in response to the call for papers. A total of 16 submissions were accepted as full papers, yielding an acceptance rate of about 36%. Papers sohcited for IFIP TCS 2006 were meant to constitute orig inal contributions in two general areas: Algorithms, Complexity and Models of Computation; and Logic, Semantics, Specification and Verification. The conference also included six invited presentations: Marcelo Arenas (P- tificia Universidad Catolica de Chile, Chile), Jozef Gruska (Masaryk University, Czech Republic), Claudio Gutierrez (Universidad de Chile, Chile), Marcos Kiwi (Universidad de Chile, Chile), Nicola Santoro (Carleton University, Canada), and Mihalis Yannakakis (Columbia University, USA). The abstracts of those presentations are included in this volume. In addition, Jozef Gruska and Nicola Santoro accepted our invitation to write full papers related to their talks. Those two surveys are included in the present volume as well. TCS is a biannual conference. The first edition was held in Sendai (Japan, 2000), followed by Montreal (Canada, 2002) and Toulouse (France, 2004).

Will Our Love Last?

Will Our Love Last?
Author: Sam R. Hamburg
Publisher: Simon and Schuster
Total Pages: 317
Release: 2001-03-17
Genre: Psychology
ISBN: 0743203526
GET BOOK

Download Will Our Love Last? Book in PDF, Epub and Kindle

Am I with the right person? Will our love last? Men and women in love are haunted by these questions. Love -- especially why it blossoms in relationships and why it later dies -- is a mystery to them. Will Our Love Last? A Couple's Road Map solves this mystery by giving readers a new understanding of love -- an understanding they can actually use to evaluate the soundness of their relationships and to answer confidently the crucial questions that mystified them before. Based on hundreds of cases in his twenty-four years as a marital therapist and twenty-nine years in his own happy marriage, Sam R. Hamburg, Ph.D., explains how compatibility is the key to lasting love. He shows how compatibility on three major dimensions -- the Practical Dimension, the Sexual Dimension, and the Wavelength Dimension -- is essential to the mutual understanding and affirmation that keep love alive, and he leads readers through a simple but systematic procedure for assessing their compatibility with a romantic partner in these crucial relationship areas. Dr. Hamburg introduces a new technique, The Hand Rotation Exercise, to help readers express their degree of compatibility and then convey that visually to their partner. In addition, he presents two new original techniques for working through relationship conflicts and coming to agreement on difficult issues: His Way/Her Way and The Long Conversation. Written in a clear, direct style that is free of jargon, Will Our Love Last? empowers readers to make important relationship decisions that are intellectually and emotionally informed. Will Our Love Last? will help couples trying to decide if they should take the next step to a more committed relationship. It will aid individuals embarking on a new relationship, or who are between relationships, to evaluate the rightness of a new or prospective partner. And it will assist people who are already in committed relationships to make an honest assessment of their prospects for happiness with their current partner. People have it in their power to make sure that they truly are with the right person. Will Our Love Last? shows the way.

Taking Sudoku Seriously

Taking Sudoku Seriously
Author: Jason Rosenhouse
Publisher: Oxford University Press
Total Pages: 227
Release: 2012-01-19
Genre: Mathematics
ISBN: 0199913153
GET BOOK

Download Taking Sudoku Seriously Book in PDF, Epub and Kindle

Packed with more than a hundred color illustrations and a wide variety of puzzles and brainteasers, Taking Sudoku Seriously uses this popular craze as the starting point for a fun-filled introduction to higher mathematics. How many Sudoku solution squares are there? What shapes other than three-by-three blocks can serve as acceptable Sudoku regions? What is the fewest number of starting clues a sound Sudoku puzzle can have? Does solving Sudoku require mathematics? Jason Rosenhouse and Laura Taalman show that answering these questions opens the door to a wealth of interesting mathematics. Indeed, they show that Sudoku puzzles and their variants are a gateway into mathematical thinking generally. Among many topics, the authors look at the notion of a Latin square--an object of long-standing interest to mathematicians--of which Sudoku squares are a special case; discuss how one finds interesting Sudoku puzzles; explore the connections between Sudoku, graph theory, and polynomials; and consider Sudoku extremes, including puzzles with the maximal number of vacant regions, with the minimal number of starting clues, and numerous others. The book concludes with a gallery of novel Sudoku variations--just pure solving fun! Most of the puzzles are original to this volume, and all solutions to the puzzles appear in the back of the book or in the text itself. A math book and a puzzle book, Taking Sudoku Seriously will change the way readers look at Sudoku and mathematics, serving both as an introduction to mathematics for puzzle fans and as an exploration of the intricacies of Sudoku for mathematics buffs.