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Titlebook: Recent Trends in Combinatorics; Andrew Beveridge,Jerrold R. Griggs,Prasad Tetali Book 2016 Springer International Publishing Switzerland 2

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发表于 2025-3-21 20:07:18 | 显示全部楼层 |阅读模式
书目名称Recent Trends in Combinatorics
编辑Andrew Beveridge,Jerrold R. Griggs,Prasad Tetali
视频video
概述Contains many surveys of active research areas in combinatorics that include open problems.Contributions are from leading experts.State of the art results presented.Includes supplementary material:
丛书名称The IMA Volumes in Mathematics and its Applications
图书封面Titlebook: Recent Trends in Combinatorics;  Andrew Beveridge,Jerrold R. Griggs,Prasad Tetali Book 2016 Springer International Publishing Switzerland 2
描述This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute for Mathematics and its Applications during Fall 2014, when  combinatorics was the focus. Leading experts have written surveys of research problems, making state of the art results more conveniently and widely available. The three-part structure of the volume reflects the three workshops held during Fall 2014. In the first part, topics on extremal and probabilistic combinatorics are presented; part two focuses on additive and analytic combinatorics; and part three presents topics in geometric and enumerative combinatorics. This book will be of use to those who research combinatorics directly or apply combinatorial methods to other fields..
出版日期Book 2016
关键词Cominatorics; Discrete Dynamical Systems; Discrete Geometry; Enumerative Cominatorics; Hamilton Cycles; P
版次1
doihttps://doi.org/10.1007/978-3-319-24298-9
isbn_softcover978-3-319-79600-0
isbn_ebook978-3-319-24298-9Series ISSN 0940-6573 Series E-ISSN 2198-3224
issn_series 0940-6573
copyrightSpringer International Publishing Switzerland 2016
The information of publication is updating

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https://doi.org/10.1007/978-3-319-24298-9Cominatorics; Discrete Dynamical Systems; Discrete Geometry; Enumerative Cominatorics; Hamilton Cycles; P
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Independent transversals and hypergraph matchings - an elementary approachng hypergraph version of Hall’s Theorem, due to Aharoni and Haxell from 2000. Let . be an .-uniform hypergraph with a vertex partition (., .), in which every edge has exactly one vertex in .. Suppose that for every subset ., the neighbourhood hypergraph . of . has a matching of size (. − 1)( | . | − 1) + 1. Then . has a matching of size | . | .
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Algebraic aspects of the normalized Laplacianing graphs have rich structure which can help in determining the eigenvalues associated with a particular graph matrix. This survey looks at some common techniques in working with and determining the eigenvalues associated with the normalized Laplacian matrix, in addition to some algebraic applications of these eigenvalues.
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Character sums and arithmetic combinatoricsst quadratic nonresidues, Dirichlet L-function, Linnik’s problem. We also discuss open problems in this area. Some of the techniques involved belong to arithmetic combinatorics. One may hope for these methods to lead to further progress.
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