Advertisement

Graph Theory

Favorite Conjectures and Open Problems - 2

  • Ralucca Gera
  • Teresa W. Haynes
  • Stephen T. Hedetniemi

Part of the Problem Books in Mathematics book series (PBM)

Table of contents

  1. Front Matter
    Pages i-vi
  2. Ralucca Gera, Stephen T. Hedetniemi, Teresa W. Haynes
    Pages 1-5
  3. Lowell W. Beineke
    Pages 7-18
  4. Wayne Goddard
    Pages 19-25
  5. David P. Jacobs, Vilmar Trevisan
    Pages 27-42
  6. William D. Weakley
    Pages 43-54
  7. Ron Graham
    Pages 55-61
  8. Stephen T. Hedetniemi
    Pages 63-68
  9. David Sumner
    Pages 69-89
  10. Marietjie Frick, Jean E. Dunbar
    Pages 101-113
  11. Ellen Gethner
    Pages 115-133
  12. Michael A. Henning
    Pages 135-148
  13. Vašek Chvátal
    Pages 149-176
  14. Ralucca Gera, Teresa W. Haynes, Stephen T. Hedetniemi, Michael A. Henning
    Pages 177-281

About this book

Introduction

This second volume in a two-volume series provides an extensive collection of conjectures and open problems in graph theory. It is designed for both graduate students and established researchers in discrete mathematics who are searching for research ideas and references. Each chapter provides more than a simple collection of results on a particular topic; it captures the reader’s interest with techniques that worked and failed in attempting to solve particular conjectures. The history and origins of specific conjectures and the methods of researching them are also included throughout this volume. Students and researchers can discover how the conjectures have evolved and the various approaches that have been used in an attempt to solve them. An annotated glossary of nearly 300 graph theory parameters, 70 conjectures, and over 600 references is also included in this volume. This glossary provides an understanding of parameters beyond their definitions and enables readers to discover new ideas and new definitions in graph theory.

The editors were inspired to create this series of volumes by the popular and well-attended special sessions entitled “My Favorite Graph Theory Conjectures,” which they organized at past AMS meetings. These sessions were held at the winter AMS/MAA Joint Meeting in Boston, January 2012, the SIAM Conference on Discrete Mathematics in Halifax in June 2012, as well as the winter AMS/MAA Joint Meeting in Baltimore in January 2014, at which many of the best-known graph theorists spoke. In an effort to aid in the creation and dissemination of conjectures and open problems, which is crucial to the growth and development of this field, the editors invited these speakers, as well as other experts in graph theory, to contribute to this series.

Keywords

Coloring and Domination Digraphs Erdos Graph Eigenvalues Graph Theory conjectures open problems Desert Island Conjectures Binding Number Cliques Laplacian Eigenvalues of Trees Ulam Numbers Global Cycle Properties Path Partition Conjecture Domination Game Conjectures

Editors and affiliations

  • Ralucca Gera
    • 1
  • Teresa W. Haynes
    • 2
  • Stephen T. Hedetniemi
    • 3
  1. 1.Department of Applied MathematicsNaval Postgraduate SchoolMontereyUSA
  2. 2.Department of MathematicsEast Tennessee State UniversityJohnson CityUSA
  3. 3.School of ComputingClemson UniversityClemsonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-97686-0
  • Copyright Information Springer Nature Switzerland AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-97684-6
  • Online ISBN 978-3-319-97686-0
  • Series Print ISSN 0941-3502
  • Series Online ISSN 2197-8506
  • Buy this book on publisher's site