The Game Of Cops And Robbers On Graphs

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The Game of Cops and Robbers on Graphs

Author : Anthony Bonato
Publisher : American Mathematical Soc.
ISBN 13 : 0821853473
Total Pages : 298 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Game of Cops and Robbers on Graphs by : Anthony Bonato

Download or read book The Game of Cops and Robbers on Graphs written by Anthony Bonato and published by American Mathematical Soc.. This book was released on 2011-08-16 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first and only one of its kind on the topic of Cops and Robbers games, and more generally, on the field of vertex pursuit games on graphs. The book is written in a lively and highly readable fashion, which should appeal to both senior undergraduates and experts in the field (and everyone in between). One of the main goals of the book is to bring together the key results in the field; as such, it presents structural, probabilistic, and algorithmic results on Cops and Robbers games. Several recent and new results are discussed, along with a comprehensive set of references. The book is suitable for self-study or as a textbook, owing in part to the over 200 exercises. The reader will gain insight into all the main directions of research in the field and will be exposed to a number of open problems.

The Game of Cops and Robbers on Graphs

Author : Anthony Bonato
Publisher : American Mathematical Soc.
ISBN 13 : 0821884778
Total Pages : 298 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Game of Cops and Robbers on Graphs by : Anthony Bonato

Download or read book The Game of Cops and Robbers on Graphs written by Anthony Bonato and published by American Mathematical Soc.. This book was released on with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Game of Cops and Robbers on Graphs

Author :
Publisher :
ISBN 13 : 9781470416560
Total Pages : 276 pages
Book Rating : 4.4/5 (165 download)

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Book Synopsis The Game of Cops and Robbers on Graphs by :

Download or read book The Game of Cops and Robbers on Graphs written by and published by . This book was released on 2011 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Graph Searching Games and Probabilistic Methods

Author : Anthony Bonato
Publisher : CRC Press
ISBN 13 : 135181477X
Total Pages : 346 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Graph Searching Games and Probabilistic Methods by : Anthony Bonato

Download or read book Graph Searching Games and Probabilistic Methods written by Anthony Bonato and published by CRC Press. This book was released on 2017-11-28 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph Searching Games and Probabilistic Methods is the first book that focuses on the intersection of graph searching games and probabilistic methods. The book explores various applications of these powerful mathematical tools to games and processes such as Cops and Robbers, Zombie and Survivors, and Firefighting. Written in an engaging style, the book is accessible to a wide audience including mathematicians and computer scientists. Readers will find that the book provides state-of-the-art results, techniques, and directions in graph searching games, especially from the point of view of probabilistic methods. The authors describe three directions while providing numerous examples, which include: • Playing a deterministic game on a random board. • Players making random moves. • Probabilistic methods used to analyze a deterministic game.

SOFSEM 2020: Theory and Practice of Computer Science

Author : Alexander Chatzigeorgiou
Publisher : Springer Nature
ISBN 13 : 3030389197
Total Pages : 725 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis SOFSEM 2020: Theory and Practice of Computer Science by : Alexander Chatzigeorgiou

Download or read book SOFSEM 2020: Theory and Practice of Computer Science written by Alexander Chatzigeorgiou and published by Springer Nature. This book was released on 2020-01-16 with total page 725 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 46th International Conference on Current Trends in Theory and Practice of Informatics, SOFSEM 2020, held in Limassol, Cyprus, in January 2020. The 40 full papers presented together with 17 short papers and 3 invited papers were carefully reviewed and selected from 125 submissions. They presented new research results in the theory and practice of computer science in the each sub-area of SOFSEM 2020: foundations of computer science, foundations of data science and engineering, foundations of software engineering, and foundations of algorithmic computational biology.

A Course on the Web Graph

Author : Anthony Bonato
Publisher : American Mathematical Soc.
ISBN 13 : 0821844679
Total Pages : 200 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis A Course on the Web Graph by : Anthony Bonato

Download or read book A Course on the Web Graph written by Anthony Bonato and published by American Mathematical Soc.. This book was released on 2008 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A Course on the Web Graph provides a comprehensive introduction to state-of-the-art research on the applications of graph theory to real-world networks such as the web graph. It is the first mathematically rigorous textbook discussing both models of the web graph and algorithms for searching the web. After introducing key tools required for the study of web graph mathematics, an overview is given of the most widely studied models for the web graph. A discussion of popular web search algorithms, e.g. PageRank, is followed by additional topics, such as applications of infinite graph theory to the web graph, spectral properties of power law graphs, domination in the web graph, and the spread of viruses in networks. The book is based on a graduate course taught at the AARMS 2006 Summer School at Dalhousie University. As such it is self-contained and includes over 100 exercises. The reader of the book will gain a working knowledge of current research in graph theory and its modern applications. In addition, the reader will learn first-hand about models of the web, and the mathematics underlying modern search engines."--Publisher's description.

Game Theory

Author : Steve Tadelis
Publisher : Princeton University Press
ISBN 13 : 0691129088
Total Pages : 416 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Game Theory by : Steve Tadelis

Download or read book Game Theory written by Steve Tadelis and published by Princeton University Press. This book was released on 2013-01-06 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definitive introduction to game theory This comprehensive textbook introduces readers to the principal ideas and applications of game theory, in a style that combines rigor with accessibility. Steven Tadelis begins with a concise description of rational decision making, and goes on to discuss strategic and extensive form games with complete information, Bayesian games, and extensive form games with imperfect information. He covers a host of topics, including multistage and repeated games, bargaining theory, auctions, rent-seeking games, mechanism design, signaling games, reputation building, and information transmission games. Unlike other books on game theory, this one begins with the idea of rationality and explores its implications for multiperson decision problems through concepts like dominated strategies and rationalizability. Only then does it present the subject of Nash equilibrium and its derivatives. Game Theory is the ideal textbook for advanced undergraduate and beginning graduate students. Throughout, concepts and methods are explained using real-world examples backed by precise analytic material. The book features many important applications to economics and political science, as well as numerous exercises that focus on how to formalize informal situations and then analyze them. Introduces the core ideas and applications of game theory Covers static and dynamic games, with complete and incomplete information Features a variety of examples, applications, and exercises Topics include repeated games, bargaining, auctions, signaling, reputation, and information transmission Ideal for advanced undergraduate and beginning graduate students Complete solutions available to teachers and selected solutions available to students

Fundamentals of Graph Theory

Author : Allan Bickle
Publisher : American Mathematical Soc.
ISBN 13 : 1470453428
Total Pages : 336 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Fundamentals of Graph Theory by : Allan Bickle

Download or read book Fundamentals of Graph Theory written by Allan Bickle and published by American Mathematical Soc.. This book was released on 2020-03-10 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory is a fascinating and inviting branch of mathematics. Many problems are easy to state and have natural visual representations, inviting exploration by new students and professional mathematicians. The goal of this textbook is to present the fundamentals of graph theory to a wide range of readers. The book contains many significant recent results in graph theory, presented using up-to-date notation. The author included the shortest, most elegant, most intuitive proofs for modern and classic results while frequently presenting them in new ways. Major topics are introduced with practical applications that motivate their development, and which are illustrated with examples that show how to apply major theorems in practice. This includes the process of finding a brute force solution (case-checking) when an elegant solution is not apparent. With over 1200 exercises, internet resources (e.g., the OEIS for counting problems), helpful appendices, and a detailed guide to different course outlines, this book provides a versatile and convenient tool for the needs of instructors at a large variety of institutions.

The Mathematics of Chip-Firing

Author : Caroline J. Klivans
Publisher : CRC Press
ISBN 13 : 135180099X
Total Pages : 296 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis The Mathematics of Chip-Firing by : Caroline J. Klivans

Download or read book The Mathematics of Chip-Firing written by Caroline J. Klivans and published by CRC Press. This book was released on 2018-11-15 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of Chip-firing is a solid introduction and overview of the growing field of chip-firing. It offers an appreciation for the richness and diversity of the subject. Chip-firing refers to a discrete dynamical system — a commodity is exchanged between sites of a network according to very simple local rules. Although governed by local rules, the long-term global behavior of the system reveals fascinating properties. The Fundamental properties of chip-firing are covered from a variety of perspectives. This gives the reader both a broad context of the field and concrete entry points from different backgrounds. Broken into two sections, the first examines the fundamentals of chip-firing, while the second half presents more general frameworks for chip-firing. Instructors and students will discover that this book provides a comprehensive background to approaching original sources. Features: Provides a broad introduction for researchers interested in the subject of chip-firing The text includes historical and current perspectives Exercises included at the end of each chapter About the Author: Caroline J. Klivans received a BA degree in mathematics from Cornell University and a PhD in applied mathematics from MIT. Currently, she is an Associate Professor in the Division of Applied Mathematics at Brown University. She is also an Associate Director of ICERM (Institute for Computational and Experimental Research in Mathematics). Before coming to Brown she held positions at MSRI, Cornell and the University of Chicago. Her research is in algebraic, geometric and topological combinatorics.

Graphs and Homomorphisms

Author : Pavol Hell
Publisher : OUP Oxford
ISBN 13 : 0191523720
Total Pages : 260 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Graphs and Homomorphisms by : Pavol Hell

Download or read book Graphs and Homomorphisms written by Pavol Hell and published by OUP Oxford. This book was released on 2004-07-22 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about graph homomorphisms. Graph theory is now an established discipline but the study of graph homomorphisms has only recently begun to gain wide acceptance and interest. The subject gives a useful perspective in areas such as graph reconstruction, products, fractional and circular colourings, and has applications in complexity theory, artificial intelligence, telecommunication, and, most recently, statistical physics. Based on the authors' lecture notes for graduate courses, this book can be used as a textbook for a second course in graph theory at 4th year or master's level and has been used for courses at Simon Fraser University (Vancouver), Charles University (Prague), ETH (Zurich), and UFRJ (Rio de Janeiro). The exercises vary in difficulty. The first few are usually intended to give the reader an opportunity to practice the concepts introduced in the chapter; the later ones explore related concepts, or even introduce new ones. For the harder exercises hints and references are provided. The authors are well known for their research in this area and the book will be invaluable to graduate students and researchers alike.

Theory and Applications of Models of Computation

Author : T.V. Gopal
Publisher : Springer
ISBN 13 : 3319559117
Total Pages : 698 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Theory and Applications of Models of Computation by : T.V. Gopal

Download or read book Theory and Applications of Models of Computation written by T.V. Gopal and published by Springer. This book was released on 2017-04-13 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 14th Annual Conference on Theory and Applications of Models of Computation, TAMC 2017, held in Bern, Switzerland, in April 2017. The 45 revised full papers presented together with 4 invited papers were carefully reviewed and selected from 103 submissions. The main themes of TAMC 2017 have been computability, computer science logic, complexity, algorithms, and models of computation and systems theory.

Divisors and Sandpiles: An Introduction to Chip-Firing

Author : Scott Corry
Publisher : American Mathematical Soc.
ISBN 13 : 1470442183
Total Pages : 325 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Divisors and Sandpiles: An Introduction to Chip-Firing by : Scott Corry

Download or read book Divisors and Sandpiles: An Introduction to Chip-Firing written by Scott Corry and published by American Mathematical Soc.. This book was released on 2018-07-23 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Divisors and Sandpiles provides an introduction to the combinatorial theory of chip-firing on finite graphs. Part 1 motivates the study of the discrete Laplacian by introducing the dollar game. The resulting theory of divisors on graphs runs in close parallel to the geometric theory of divisors on Riemann surfaces, and Part 1 culminates in a full exposition of the graph-theoretic Riemann-Roch theorem due to M. Baker and S. Norine. The text leverages the reader's understanding of the discrete story to provide a brief overview of the classical theory of Riemann surfaces. Part 2 focuses on sandpiles, which are toy models of physical systems with dynamics controlled by the discrete Laplacian of the underlying graph. The text provides a careful introduction to the sandpile group and the abelian sandpile model, leading ultimately to L. Levine's threshold density theorem for the fixed-energy sandpile Markov chain. In a precise sense, the theory of sandpiles is dual to the theory of divisors, and there are many beautiful connections between the first two parts of the book. Part 3 addresses various topics connecting the theory of chip-firing to other areas of mathematics, including the matrix-tree theorem, harmonic morphisms, parking functions, M-matrices, matroids, the Tutte polynomial, and simplicial homology. The text is suitable for advanced undergraduates and beginning graduate students.

Extended Abstracts EuroComb 2021

Author : Jaroslav Nešetřil
Publisher : Springer Nature
ISBN 13 : 3030838234
Total Pages : 875 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Extended Abstracts EuroComb 2021 by : Jaroslav Nešetřil

Download or read book Extended Abstracts EuroComb 2021 written by Jaroslav Nešetřil and published by Springer Nature. This book was released on 2021-08-23 with total page 875 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects the extended abstracts of the accepted contributions to EuroComb21. A similar book is published at every edition of EuroComb (every two years since 2001) collecting the most recent advances in combinatorics, graph theory, and related areas. It has a wide audience in the areas, and the papers are used and referenced broadly.

Domination in Graphs

Author : TeresaW. Haynes
Publisher : Routledge
ISBN 13 : 1351454641
Total Pages : 519 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Domination in Graphs by : TeresaW. Haynes

Download or read book Domination in Graphs written by TeresaW. Haynes and published by Routledge. This book was released on 2017-11-22 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: ""Presents the latest in graph domination by leading researchers from around the world-furnishing known results, open research problems, and proof techniques. Maintains standardized terminology and notation throughout for greater accessibility. Covers recent developments in domination in graphs and digraphs, dominating functions, combinatorial problems on chessboards, and more.

Theory of Fun for Game Design

Author : Raph Koster
Publisher : "O'Reilly Media, Inc."
ISBN 13 : 1449363172
Total Pages : 300 pages
Book Rating : 4.4/5 (493 download)

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Book Synopsis Theory of Fun for Game Design by : Raph Koster

Download or read book Theory of Fun for Game Design written by Raph Koster and published by "O'Reilly Media, Inc.". This book was released on 2013-11-08 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in full color, the 10th anniversary edition of this classic book takes you deep into the influences that underlie modern video games, and examines the elements they share with traditional games such as checkers. At the heart of his exploration, veteran game designer Raph Koster takes a close look at the concept of fun and why it’s the most vital element in any game. Why do some games become boring quickly, while others remain fun for years? How do games serve as fundamental and powerful learning tools? Whether you’re a game developer, dedicated gamer, or curious observer, this illustrated, fully updated edition helps you understand what drives this major cultural force, and inspires you to take it further. You’ll discover that: Games play into our innate ability to seek patterns and solve puzzles Most successful games are built upon the same elements Slightly more females than males now play games Many games still teach primitive survival skills Fictional dressing for modern games is more developed than the conceptual elements Truly creative designers seldom use other games for inspiration Games are beginning to evolve beyond their prehistoric origins

Man, Play, and Games

Author : Roger Caillois
Publisher : University of Illinois Press
ISBN 13 : 9780252070334
Total Pages : 228 pages
Book Rating : 4.0/5 (73 download)

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Book Synopsis Man, Play, and Games by : Roger Caillois

Download or read book Man, Play, and Games written by Roger Caillois and published by University of Illinois Press. This book was released on 2001 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: According to Roger Caillois, play is an occasion of pure waste. In spite of this - or because of it - play constitutes an essential element of human social and spiritual development. In this study, the author defines play as a free and voluntary activity that occurs in a pure space, isolated and protected from the rest of life.

Combinatorial Game Theory

Author : Aaron N. Siegel
Publisher : American Mathematical Society
ISBN 13 : 1470475685
Total Pages : 541 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Combinatorial Game Theory by : Aaron N. Siegel

Download or read book Combinatorial Game Theory written by Aaron N. Siegel and published by American Mathematical Society. This book was released on 2023-11-20 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is wonderful to see advanced combinatorial game theory made accessible. Siegel's expertise and enjoyable writing style make this book a perfect resource for anyone wanting to learn the latest developments and open problems in the field. —Erik Demaine, MIT Aaron Siegel has been the major contributor to Combinatorial Game Theory over the last decade or so. Now, in this authoritative work, he has made the latest results in the theory accessible, so that the subject will achieve the place in mathematics that it deserves. —Richard Guy, University of Calgary Combinatorial game theory is the study of two-player games with no hidden information and no chance elements. The theory assigns algebraic values to positions in such games and seeks to quantify the algebraic and combinatorial structure of their interactions. Its modern form was introduced thirty years ago, with the publication of the classic Winning Ways for Your Mathematical Plays by Berlekamp, Conway, and Guy, and interest has rapidly increased in recent decades. This book is a comprehensive and up-to-date introduction to the subject, tracing its development from first principles and examples through many of its most recent advances. Roughly half the book is devoted to a rigorous treatment of the classical theory; the remaining material is an in-depth presentation of topics that appear for the first time in textbook form, including the theory of misère quotients and Berlekamp's generalized temperature theory. Packed with hundreds of examples and exercises and meticulously cross-referenced, Combinatorial Game Theory will appeal equally to students, instructors, and research professionals. More than forty open problems and conjectures are mentioned in the text, highlighting the many mysteries that still remain in this young and exciting field. Aaron Siegel holds a Ph.D. in mathematics from the University of California, Berkeley and has held positions at the Mathematical Sciences Research Institute and the Institute for Advanced Study. He was a partner at Berkeley Quantitative, a technology-driven hedge fund, and is presently employed by Twitter, Inc.