The Game Of Cops And Robbers On Graphs
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The Game Of Cops And Robbers On Graphs
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Author : Anthony Bonato
language : en
Publisher: American Mathematical Soc.
Release Date :
The Game Of Cops And Robbers On Graphs written by Anthony Bonato and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
The Game Of Cops And Robbers On Graphs
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Author : Anthony Bonato
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-08-16
The Game Of Cops And Robbers On Graphs written by Anthony Bonato and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-16 with Mathematics categories.
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.
Domination In Graphs
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Author : TeresaW. Haynes
language : en
Publisher: Routledge
Release Date : 2017-11-22
Domination In Graphs written by TeresaW. Haynes and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Mathematics categories.
""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.
Complex Graphs And Networks
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Author : Fan R. K. Chung
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Complex Graphs And Networks written by Fan R. K. Chung and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Computers categories.
Graph theory is a primary tool for detecting numerous hidden structures in various information networks, including Internet graphs, social networks, biological networks, or any graph representing relations in massive data sets. This book explains the universal and ubiquitous coherence in the structure of these realistic but complex networks.
Fundamentals Of Graph Theory
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Author : Allan Bickle
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-03-10
Fundamentals Of Graph Theory written by Allan Bickle and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-10 with Education categories.
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.
My Brain Is Open
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Author : Bruce Schechter
language : en
Publisher: Simon and Schuster
Release Date : 2000-02-28
My Brain Is Open written by Bruce Schechter and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-02-28 with Biography & Autobiography categories.
Traces the eccentric life of legendary mathematician Paul Erdos, a wandering genius who fled his native Hungary during the Holocaust and helped devise the mathematical basis of computer science.
Algorithms And Discrete Applied Mathematics
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Author : B.S. Panda
language : en
Publisher: Springer
Release Date : 2018-02-05
Algorithms And Discrete Applied Mathematics written by B.S. Panda and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-05 with Computers categories.
This book constitutes the proceedings of the 4th International Conference on Algorithms and Discrete Applied Mathematics, CALDAM 2018, held in Guwahati, India, in February 2018. The 23 papers presented in this volume were carefully reviewed and selected from 68 submissions. They focus on topics related to efficient algorithms and data structures, their analysis (both theoretical and experimental). The mathematical problems arising thereof, and new applications of discrete mathematics, advances in existing applications and development of new tools for discrete mathematics.
Game Theory
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Author : Steven Tadelis
language : en
Publisher: Princeton University Press
Release Date : 2013-01-10
Game Theory written by Steven Tadelis and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-10 with Business & Economics categories.
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
Divisors And Sandpiles
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Author : Scott Corry
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-07-23
Divisors And Sandpiles written by Scott Corry and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-23 with Mathematics categories.
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.
Man Play And Games
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Author : Roger Caillois
language : en
Publisher: University of Illinois Press
Release Date : 2001
Man Play And Games written by Roger Caillois and has been published by University of Illinois Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Business & Economics categories.
He also examines the means by which games become part of daily life, ultimately giving cultures their most characteristic customs and institutions."--BOOK JACKET.