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The Stable Marriage Problem
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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.
Book Synopsis Stable Marriage and Its Relation to Other Combinatorial Problems by : Donald Ervin Knuth
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.
Book Synopsis The Stable Marriage Problem by : D. G. McVitie
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:
Book Synopsis Two-Sided Matching by : Alvin E. Roth
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
Book Synopsis Algorithmics of Matching Under Preferences by : David F. Manlove
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."
Book Synopsis The Seven Principles for Making Marriage Work by : John Gottman, PhD
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.
Book Synopsis Will Our Love Last? by : Sam R. Hamburg
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 315 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.
Book Synopsis Notes on Introductory Combinatorics by : George Polya
Download or read book Notes on Introductory Combinatorics written by George Polya and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the winter of 1978, Professor George P61ya and I jointly taught Stanford University's introductory combinatorics course. This was a great opportunity for me, as I had known of Professor P61ya since having read his classic book, How to Solve It, as a teenager. Working with P6lya, who ·was over ninety years old at the time, was every bit as rewarding as I had hoped it would be. His creativity, intelligence, warmth and generosity of spirit, and wonderful gift for teaching continue to be an inspiration to me. Combinatorics is one of the branches of mathematics that play a crucial role in computer sCience, since digital computers manipulate discrete, finite objects. Combinatorics impinges on computing in two ways. First, the properties of graphs and other combinatorial objects lead directly to algorithms for solving graph-theoretic problems, which have widespread application in non-numerical as well as in numerical computing. Second, combinatorial methods provide many analytical tools that can be used for determining the worst-case and expected performance of computer algorithms. A knowledge of combinatorics will serve the computer scientist well. Combinatorics can be classified into three types: enumerative, eXistential, and constructive. Enumerative combinatorics deals with the counting of combinatorial objects. Existential combinatorics studies the existence or nonexistence of combinatorial configurations.
Book Synopsis Algorithms and Computation by : Toshihide Ibaraki
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.
Book Synopsis Classic Papers in Combinatorics by : Ira Gessel
Download or read book Classic Papers in Combinatorics written by Ira Gessel and published by Springer Science & Business Media. This book was released on 2010-10-06 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume surveys the development of combinatorics since 1930 by presenting in chronological order the fundamental results of the subject proved in over five decades of original papers by: T. van Aardenne-Ehrenfest.- R.L. Brooks.- N.G. de Bruijn.- G.F. Clements.- H.H. Crapo.- R.P. Dilworth.- J. Edmonds.- P. Erdös.- L.R. Ford, Jr.- D.R. Fulkerson.- D. Gale.- L. Geissinger.- I.J. Good.- R.L. Graham.- A.W. Hales.- P. Hall.- P.R. Halmos.- R.I. Jewett.- I. Kaplansky.- P.W. Kasteleyn.- G. Katona.- D.J. Kleitman.- K. Leeb.- B. Lindström.- L. Lovász.- D. Lubell.- C. St. J.A. Nash-Williams.- G. Pólya.-R. Rado.- F.P. Ramsey.- G.-C. Rota.- B.L. Rothschild.- H.J. Ryser.- C. Schensted.- M.P. Schützenberger.- R.P. Stanley.- G. Szekeres.- W.T. Tutte.- H.E. Vaughan.- H. Whitney.
Book Synopsis The Mathematics of Love by : Hannah Fry
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: "A mathematician pulls back the curtain and reveals the hidden patterns--from dating sites to divorce, sex to marriage--behind the rituals of love ... applying mathematical formulas to the most common yet complex questions pertaining to love: What's the chance of finding love? What's the probability that it will last? How do online dating algorithms work, exactly? Can game theory help us decide who to approach in a bar? At what point in your dating life should you settle down?"--Amazon.com.
Book Synopsis Taking Sudoku Seriously by : Jason Rosenhouse
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 227 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 Dynamic Logic written by David Harel and published by MIT Press. This book was released on 2000-09-29 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the first comprehensive introduction to Dynamic Logic. Among the many approaches to formal reasoning about programs, Dynamic Logic enjoys the singular advantage of being strongly related to classical logic. Its variants constitute natural generalizations and extensions of classical formalisms. For example, Propositional Dynamic Logic (PDL) can be described as a blend of three complementary classical ingredients: propositional calculus, modal logic, and the algebra of regular events. In First-Order Dynamic Logic (DL), the propositional calculus is replaced by classical first-order predicate calculus. Dynamic Logic is a system of remarkable unity that is theoretically rich as well as of practical value. It can be used for formalizing correctness specifications and proving rigorously that those specifications are met by a particular program. Other uses include determining the equivalence of programs, comparing the expressive power of various programming constructs, and synthesizing programs from specifications. This book provides the first comprehensive introduction to Dynamic Logic. It is divided into three parts. The first part reviews the appropriate fundamental concepts of logic and computability theory and can stand alone as an introduction to these topics. The second part discusses PDL and its variants, and the third part discusses DL and its variants. Examples are provided throughout, and exercises and a short historical section are included at the end of each chapter.
Book Synopsis The Marriage-Go-Round by : Andrew J. Cherlin
Download or read book The Marriage-Go-Round written by Andrew J. Cherlin and published by Vintage. This book was released on 2010-12-08 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a landmark book that's "intriguing [and] provocative" and presents "an original thesis [to explain] this peculiar paradox—we idealize marriage and yet we’re so bad at it” (The New York Times). Andrew J. Cherlin's three decades of study have shown him that marriage in America is a social and political battlefield in a way that it isn’t in other developed countries. Americans marry and divorce more often and have more live-in partners than Europeans, and gay Americans have more interest in legalizing same-sex marriage. The difference comes from Americans’ embrace of two contradictory cultural ideals: marriage, a formal commitment to share one's life with another; and individualism, which emphasizes personal choice and self-development. Religion and law in America reinforce both of these behavioral poles, fueling turmoil in our family life and heated debate in our public life. Cherlin’s incisive diagnosis is an important contribution to the debate and points the way to slowing down the partnership merry-go-round.
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 278 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, from the New York Times bestselling author of Maybe You Should Talk to Someone. 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.
Book Synopsis Trends in Artificial Intelligence Theory and Applications. Artificial Intelligence Practices by : Hamido Fujita
Download or read book Trends in Artificial Intelligence Theory and Applications. Artificial Intelligence Practices written by Hamido Fujita and published by Springer Nature. This book was released on 2020-09-04 with total page 931 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed proceedings of the 33rd International Conference on Industrial, Engineering and Other Applications of Applied Intelligent Systems, IEA/AIE 2020, held in Kitakyushu, Japan, in September 2020. The 62 full papers and 17 short papers presented were carefully reviewed and selected from 119 submissions. The IEA/AIE 2020 conference will continue the tradition of emphasizing on applications of applied intelligent systems to solve real-life problems in all areas. These areas include are language processing; robotics and drones; knowledge based systems; innovative applications of intelligent systems; industrial applications; networking applications; social network analysis; financial applications and blockchain; medical and health-related applications; anomaly detection and automated diagnosis; decision-support and agent-based systems; multimedia applications; machine learning; data management and data clustering; pattern mining; system control, classification, and fault diagnosis.
Book Synopsis Distributed Artificial Intelligence by : Jie Chen
Download or read book Distributed Artificial Intelligence written by Jie Chen and published by Springer Nature. This book was released on 2022-01-11 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Conference on Distributed Artificial Intelligence, DAI 2021, held in Shanghai, China, in December 2021. The 15 full papers presented in this book were carefully reviewed and selected from 31 submissions. DAI aims at bringing together international researchers and practitioners in related areas including general AI, multiagent systems, distributed learning, computational game theory, etc., to provide a single, high-profile, internationally renowned forum for research in the theory and practice of distributed AI.
