Graph Colouring And The Probabilistic Method

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Graph Colouring And The Probabilistic Method

Author : Michael Molloy
ISBN : 9783642040160
Genre : Mathematics
File Size : 34.15 MB
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Over the past decade, many major advances have been made in the field of graph coloring via the probabilistic method. This monograph, by two of the best on the topic, provides an accessible and unified treatment of these results, using tools such as the Lovasz Local Lemma and Talagrand's concentration inequality.
Category: Mathematics

The Probabilistic Method

Author : Noga Alon
ISBN : 9781119061953
Genre : Mathematics
File Size : 27.91 MB
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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.
Category: Mathematics

Graph Coloring Problems

Author : Tommy R. Jensen
ISBN : UOM:39015026891609
Genre : Mathematics
File Size : 60.46 MB
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Contains a wealth of information previously scattered in research journals, conference proceedings and technical reports. Identifies more than 200 unsolved problems. Every problem is stated in a self-contained, extremely accessible format, followed by comments on its history, related results and literature. The book will stimulate research and help avoid efforts on solving already settled problems. Each chapter concludes with a comprehensive list of references which will lead readers to original sources, important contributions and other surveys.
Category: Mathematics

Ten Lectures On The Probabilistic Method

Author : Joel Spencer
ISBN : 1611970075
Genre : Combinatorial analysis
File Size : 33.6 MB
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This update of the 1987 title of the same name is an examination of what is currently known about the probabilistic method, written by one of its principal developers. Based on the notes from Spencer's 1986 series of ten lectures, this new edition contains an additional lecture: The Janson inequalities. These inequalities allow accurate approximation of extremely small probabilities. A new algorithmic approach to the Lovasz Local Lemma, attributed to Jozsef Beck, has been added to Lecture 8, as well. Throughout the monograph, Spencer retains the informal style of his original lecture notes and emphasizes the methodology, shunning the more technical "best possible" results in favor of clearer exposition. The book is not encyclopedic--it contains only those examples that clearly display the methodology. The probabilistic method is a powerful tool in graph theory, combinatorics, and theoretical computer science. It allows one to prove the existence of objects with certain properties (e.g., colorings) by showing that an appropriately defined random object has positive probability of having those properties.
Category: Combinatorial analysis

Mathematical Reviews

Author :
ISBN : UVA:X006180631
Genre : Mathematics
File Size : 32.14 MB
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Category: Mathematics

Handbook Of Graph Theory

Author : Jonathan L. Gross
ISBN : 0203490207
Genre : Computers
File Size : 22.75 MB
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The Handbook of Graph Theory is the most comprehensive single-source guide to graph theory ever published. Best-selling authors Jonathan Gross and Jay Yellen assembled an outstanding team of experts to contribute overviews of more than 50 of the most significant topics in graph theory-including those related to algorithmic and optimization approach
Category: Computers

Congressus Numerantium

Author :
ISBN : PSU:000065642313
Genre : Combinatorial analysis
File Size : 75.35 MB
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Category: Combinatorial analysis

Surveys In Combinatorics

Author :
ISBN : PSU:000057089058
Genre : Combinatorial analysis
File Size : 21.52 MB
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Category: Combinatorial analysis

A Walk Through Combinatorics

Author : Mikl¢s B¢na
ISBN : 9789814335232
Genre : Mathematics
File Size : 82.67 MB
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Suitable for an introductory combinatorics course lasting one or two semesters, this book includes an extensive list of problems, ranging from routine exercises to research questions. It walks the reader through the classic parts of combinatorial enumeration and graph theory, while also discussing some the progress made in the area.
Category: Mathematics

Swat 90

Author : John R. Gilbert
ISBN : UVA:X001794504
Genre : Mathematics
File Size : 26.82 MB
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The workshop was a forum for researchers in the design and analysis of algorithms, and the papers address combinatorics, computational geometry, parallel computing, graph theory, and other topics in algorithms and data structures. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Category: Mathematics

Siam Journal On Computing

Author : Society for Industrial and Applied Mathematics
ISBN : UOM:39015065057666
Genre : Electronic data processing
File Size : 40.96 MB
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Category: Electronic data processing

Ecole D Ete De Probabilites De Saint Flour Xxi 1991

Author : Donald A. Dawson
ISBN : 3540566228
Genre : Mathematics
File Size : 31.12 MB
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CONTENTS: D.D. Dawson: Measure-valued Markov Processes.- B. Maisonneuve: Processus de Markov: Naissance, Retournement, Regeneration.- J. Spencer: Nine lectures on Random Graphs
Category: Mathematics

Books In Print Supplement

Author :
ISBN : STANFORD:36105025417838
Genre : American literature
File Size : 22.37 MB
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Category: American literature