Overview
- 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: sn.pub/extras
Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 159)
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About this book
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.
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Keywords
- Cominatorics
- Discrete Dynamical Systems
- Discrete Geometry
- Enumerative Cominatorics
- Hamilton Cycles
- Probabilistic Combinatorics
- Turan Problems
- Graph theory
- Extremal Combinatorics
- Additive Combinatorics
- Analytic Combinatorics
- Geometric Combinatorics
- Posets
- Spectral graph theory
- Combinatorial matrix theory
- combinatorics
Table of contents (29 chapters)
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Front Matter
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Extremal and Probabilistic Combinatorics
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Front Matter
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Additive and Analytic Combinatorics
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Front Matter
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Editors and Affiliations
Bibliographic Information
Book Title: Recent Trends in Combinatorics
Editors: Andrew Beveridge, Jerrold R. Griggs, Leslie Hogben, Gregg Musiker, Prasad Tetali
Series Title: The IMA Volumes in Mathematics and its Applications
DOI: https://doi.org/10.1007/978-3-319-24298-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-24296-5Published: 21 April 2016
Softcover ISBN: 978-3-319-79600-0Published: 22 April 2018
eBook ISBN: 978-3-319-24298-9Published: 12 April 2016
Series ISSN: 0940-6573
Series E-ISSN: 2198-3224
Edition Number: 1
Number of Pages: XIII, 778
Number of Illustrations: 63 b/w illustrations, 14 illustrations in colour
Topics: Combinatorics, Convex and Discrete Geometry, Dynamical Systems and Ergodic Theory, Functional Analysis, Genetics and Population Dynamics