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Recent Trends in Combinatorics

  • Andrew Beveridge
  • Jerrold R. Griggs
  • Leslie Hogben
  • Gregg Musiker
  • Prasad Tetali

Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 159)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Extremal and Probabilistic Combinatorics

    1. Front Matter
      Pages 1-1
    2. László Székely, Stephan Wagner, Hua Wang
      Pages 3-30
    3. Maria Axenovich
      Pages 63-81
    4. Jacques Verstraëte
      Pages 83-116
    5. Dhruv Mubayi, Jacques Verstraëte
      Pages 117-143
    6. Asaf Ferber, Michael Krivelevich
      Pages 167-189
    7. József Balogh, Adam Zsolt Wagner
      Pages 191-213
    8. Mihyun Kang
      Pages 235-256
    9. Anthony Bonato, Jeannette Janssen
      Pages 257-273
    10. Jerrold R. Griggs, Wei-Tian Li
      Pages 317-338
    11. Graham Brightwell, Malwina Luczak
      Pages 339-365
  3. Additive and Analytic Combinatorics

    1. Front Matter
      Pages 367-367
    2. Mei-Chu Chang
      Pages 405-417
    3. Andrew Granville, József Solymosi
      Pages 419-451
  4. Enumerative and Geometric Combinatorics

    1. Front Matter
      Pages 485-485
    2. Peter Paule, Silviu Radu
      Pages 511-543
    3. Sylvie Corteel, Jang Soo Kim, Dennis Stanton
      Pages 545-578
    4. Steven Klee, Isabella Novik
      Pages 653-686
    5. Benjamin Braun
      Pages 687-711
    6. Art M. Duval, Caroline J. Klivans, Jeremy L. Martin
      Pages 713-752

About this book

Introduction

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.

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

Editors and affiliations

  • Andrew Beveridge
    • 1
  • Jerrold R. Griggs
    • 2
  • Leslie Hogben
    • 3
  • Gregg Musiker
    • 4
  • Prasad Tetali
    • 5
  1. 1.Dept of Math, Statistics & Comp.ScMacalester CollegeSt. PaulUSA
  2. 2.Dept. of MathematicsUniversity of South CarolinaColumbiaUSA
  3. 3.Dept. of MathematicsIowa State UniversityAmesUSA
  4. 4.School of MathematicsUniversity of MinnesotaMinneapolisUSA
  5. 5.School of Mathematics & Computer ScGeorgia Institute of TechnologyAtlantaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-24298-9
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-24296-5
  • Online ISBN 978-3-319-24298-9
  • Series Print ISSN 0940-6573
  • Series Online ISSN 2198-3224
  • Buy this book on publisher's site
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