Probabilistic Methods In Discrete Mathematics
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The Probabilistic Method
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Author : Noga Alon
language : en
Publisher: John Wiley & Sons
Release Date : 2015-10-28
The Probabilistic Method written by Noga Alon and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-28 with Mathematics categories.
Praise for the Third Edition “Researchers of any kind of extremal combinatorics or theoretical computer science will welcome the new edition of this book.” - MAA Reviews Maintaining a standard of excellence that establishes The Probabilistic Method as the leading reference on probabilistic methods in combinatorics, the Fourth Edition continues to feature a clear writing style, illustrative examples, and illuminating exercises. The new edition includes numerous updates to reflect the most recent developments and advances in discrete mathematics and the connections to other areas in mathematics, theoretical computer science, and statistical physics. Emphasizing the methodology and techniques that enable problem-solving, The Probabilistic Method, Fourth Edition begins with a description of tools applied to probabilistic arguments, including basic techniques that use expectation and variance as well as the more advanced applications of martingales and correlation inequalities. The authors explore where probabilistic techniques have been applied successfully and also examine topical coverage such as discrepancy and random graphs, circuit complexity, computational geometry, and derandomization of randomized algorithms. Written by two well-known authorities in the field, the Fourth Edition features: Additional exercises throughout with hints and solutions to select problems in an appendix to help readers obtain a deeper understanding of the best methods and techniques New coverage on topics such as the Local Lemma, Six Standard Deviations result in Discrepancy Theory, Property B, and graph limits Updated sections to reflect major developments on the newest topics, discussions of the hypergraph container method, and many new references and improved results The Probabilistic Method, Fourth Edition is an ideal textbook for upper-undergraduate and graduate-level students majoring in mathematics, computer science, operations research, and statistics. The Fourth Edition is also an excellent reference for researchers and combinatorists who use probabilistic methods, discrete mathematics, and number theory. Noga Alon, PhD, is Baumritter Professor of Mathematics and Computer Science at Tel Aviv University. He is a member of the Israel National Academy of Sciences and Academia Europaea. A coeditor of the journal Random Structures and Algorithms, Dr. Alon is the recipient of the Polya Prize, The Gödel Prize, The Israel Prize, and the EMET Prize. Joel H. Spencer, PhD, is Professor of Mathematics and Computer Science at the Courant Institute of New York University. He is the cofounder and coeditor of the journal Random Structures and Algorithms and is a Sloane Foundation Fellow. Dr. Spencer has written more than 200 published articles and is the coauthor of Ramsey Theory, Second Edition, also published by Wiley.
Probabilistic Methods For Algorithmic Discrete Mathematics
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Author : Michel Habib
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Probabilistic Methods For Algorithmic Discrete Mathematics written by Michel Habib and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
Leave nothing to chance. This cliche embodies the common belief that ran domness has no place in carefully planned methodologies, every step should be spelled out, each i dotted and each t crossed. In discrete mathematics at least, nothing could be further from the truth. Introducing random choices into algorithms can improve their performance. The application of proba bilistic tools has led to the resolution of combinatorial problems which had resisted attack for decades. The chapters in this volume explore and celebrate this fact. Our intention was to bring together, for the first time, accessible discus sions of the disparate ways in which probabilistic ideas are enriching discrete mathematics. These discussions are aimed at mathematicians with a good combinatorial background but require only a passing acquaintance with the basic definitions in probability (e.g. expected value, conditional probability). A reader who already has a firm grasp on the area will be interested in the original research, novel syntheses, and discussions of ongoing developments scattered throughout the book. Some of the most convincing demonstrations of the power of these tech niques are randomized algorithms for estimating quantities which are hard to compute exactly. One example is the randomized algorithm of Dyer, Frieze and Kannan for estimating the volume of a polyhedron. To illustrate these techniques, we consider a simple related problem. Suppose S is some region of the unit square defined by a system of polynomial inequalities: Pi (x. y) ~ o.
Probabilistic Methods In Discrete Mathematics
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Author : Valentin Fedorovič Kolčin
language : en
Publisher: VSP
Release Date : 1993
Probabilistic Methods In Discrete Mathematics written by Valentin Fedorovič Kolčin and has been published by VSP this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Science categories.
Probabilistic Methods In Discrete Mathematics
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Author : Brill Academic
language : en
Publisher:
Release Date :
Probabilistic Methods In Discrete Mathematics written by Brill Academic and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Probabilistic Methods In Discrete Mathematics
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Author : V. F. Kolchin
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-05-18
Probabilistic Methods In Discrete Mathematics written by V. F. Kolchin and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-18 with Mathematics categories.
No detailed description available for "Probabilistic Methods in Discrete Mathematics".
Probabilistic Methods In Discrete Mathematics
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Author : V. F. Kolchin
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-05-18
Probabilistic Methods In Discrete Mathematics written by V. F. Kolchin and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-18 with Mathematics categories.
No detailed description available for "Probabilistic Methods in Discrete Mathematics".
Progress In Pure And Applied Discrete Mathematics Vol 1 Probabilistic Methods In Discrete Mathematics
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Author : V.F. Kolchin
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-05-18
Progress In Pure And Applied Discrete Mathematics Vol 1 Probabilistic Methods In Discrete Mathematics written by V.F. Kolchin and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-18 with Mathematics categories.
No detailed description available for "Progress in Pure and Applied Discrete Mathematics, Vol. 1: Probabilistic Methods in Discrete Mathematics".
Probabilistic Methods In Discrete Mathematics
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Author : Vladimir Nikolaevich Sachkov
language : en
Publisher:
Release Date : 1997
Probabilistic Methods In Discrete Mathematics written by Vladimir Nikolaevich Sachkov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Graph Searching Games And Probabilistic Methods
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Author : Anthony Bonato
language : en
Publisher: CRC Press
Release Date : 2017-11-28
Graph Searching Games And Probabilistic Methods written by Anthony Bonato and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-28 with Mathematics categories.
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.
Probabilistic Methods In Discrete Mathematics
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Author : V. F. Kolchin
language : en
Publisher:
Release Date : 1993
Probabilistic Methods In Discrete Mathematics written by V. F. Kolchin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.