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.
Download or read book Stable Marriage and Its Relation to Other Combinatorial Problems written by Donald Ervin Knuth and published by American Mathematical Soc.. This book was released on 1997 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Algorithmics of Matching Under Preferences written by David F. Manlove and published by World Scientific. This book was released on 2013 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."
Download or read book The Stable Marriage Problem written by D. G. McVitie and published by . This book was released on 1970 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Two Sided Matching written by Alvin E. Roth and published by Cambridge University Press. This book was released on 1992-06-26 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book The Seven Principles for Making Marriage Work written by John Gottman, PhD and published by Harmony. This book was released on 2015-05-05 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematics for Computer Science written by Eric Lehman and published by . This book was released on 2017-03-08 with total page 988 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.
Download or read book Fourth IFIP International Conference on Theoretical Computer Science TCS 2006 written by Gonzalo Navarro and published by Springer. This book was released on 2014-12-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Download or read book Algorithms and Computation written by Toshihide Ibaraki and published by Springer Science & Business Media. This book was released on 2003-12-03 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Will Our Love Last written by Sam R. Hamburg and published by Simon and Schuster. This book was released on 2001-03-17 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Mathematics of Love written by Hannah Fry and published by Simon and Schuster. This book was released on 2015-02-03 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uses math as a tool for explaining the complicated patterns of love, tackling such common questions as the chance of finding love that will last, how online dating works, and when to compromise.
Download or read book Taking Sudoku Seriously written by Jason Rosenhouse and published by Oxford University Press. This book was released on 2012-01-19 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Encyclopedia of Algorithms written by Ming-Yang Kao and published by Springer Science & Business Media. This book was released on 2008-08-06 with total page 1200 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of Springer’s renowned Major Reference Works, this awesome achievement provides a comprehensive set of solutions to important algorithmic problems for students and researchers interested in quickly locating useful information. This first edition of the reference focuses on high-impact solutions from the most recent decade, while later editions will widen the scope of the work. All entries have been written by experts, while links to Internet sites that outline their research work are provided. The entries have all been peer-reviewed. This defining reference is published both in print and on line.
Download or read book Marry Him written by Lori Gottlieb and published by Penguin. This book was released on 2010-02-04 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: An eye-opening, funny, painful, and always truthful in-depth examination of modern relationships and a wake-up call for single women about getting real about Mr. Right. You have a fulfilling job, great friends, and the perfect apartment. So what if you haven’t found “The One” just yet. He’ll come along someday, right? But what if he doesn’t? Or what if Mr. Right had been, well, Mr. Right in Front of You—but you passed him by? Nearing forty and still single, journalist Lori Gottlieb started to wonder: What makes for lasting romantic fulfillment, and are we looking for those qualities when we’re dating? Are we too picky about trivial things that don’t matter, and not picky enough about the often overlooked things that do? In Marry Him, Gottlieb explores an all-too-common dilemma—how to reconcile the desire for a happy marriage with a list of must-haves and deal-breakers so long and complicated that many great guys get misguidedly eliminated. On a quest to find the answer, Gottlieb sets out on her own journey in search of love, discovering wisdom and surprising insights from sociologists and neurobiologists, marital researchers and behavioral economists—as well as single and married men and women of all generations.
Download or read book Proceedings 2015 IEEE 27th International Conference on Tools with Artificial Intelligence written by and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Marital Intelligence written by Gil Stieglitz and published by . This book was released on 2010-02 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Marital Intelligence, subtitled "A foolproof guide for saving and supercharging marriage," is based on thousands of hours of marital counseling and observation by the author. Stieglitz is a counselor, speaker, mentor, professor, and leadership consultant based in Roseville, Calif. He is currently a professor at Western Seminary, a district superintendent for the Evangelical Free Church of America, and a church consultant for Thriving Churches International. He also directs his own ministry, Principles to Live By. Stieglitz says there are only five problems in marriage: (1) Ignoring needs; (2) Immature behaviors, (3) Clashing temperaments, (4) Competing relationships, and (5) Past baggage. With each issue, he carefully and consistently lays out biblical teaching on the subject, and then includes helpful anecdotes, solutions, and self-tests to help the reader.
Download or read book Investigations of finding all stable solutions of Stable Marriage Problem written by Chenyu Chang and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1962, David Gale and Lloyd Shapley proved that, for any equal number of men and women, and each man and each woman give a strict order of preference to the opposite sex, they can always solve for at least one stable marriage solution. What they didn't tell us is how to find all stable solutions. In this paper, I will demonstrate how to find every stable solution to a stable marriage problem. And I will discover the expected number of the stable matching for the stable marriage problem. Moreover, I will use the scoring system to quantify how much a man or a woman prefer the opposite sex, denoted as h̀̀appiness score''. Then we can use the scoring system to present every matching on the $xy$-plane and look at the distribution of matchings.
