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Problem Books in Mathematics

Graph Theory

Favorite Conjectures and Open Problems - 1

Editors: Gera, Ralucca, Hedetniemi, Stephen, Larson, Craig (Eds.)

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  • ​Describes the origin and history behind conjectures and problems in graph theory
  • Provides various methods to solving research problems in the field
  • Provides strong pedagogical content for graduate students and a reference to researchers in the field
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eBook $64.99
price for USA in USD (gross)
  • ISBN 978-3-319-31940-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $84.99
price for USA in USD
  • ISBN 978-3-319-31938-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $84.99
price for USA in USD
  • ISBN 978-3-319-81159-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This is the first in a series of volumes, which provide an extensive overview of conjectures and open problems in graph theory. The readership of each volume is geared toward graduate students who may be searching for research ideas. However, the well-established mathematician will find the overall exposition engaging and enlightening. Each chapter, presented in a story-telling style, includes more than a simple collection of results on a particular topic. Each contribution conveys the history, evolution, and techniques used to solve the authors’ favorite conjectures and open problems, enhancing the reader’s overall comprehension and enthusiasm.

The editors were inspired to create these volumes by the popular and well attended special sessions, entitled “My Favorite Graph Theory Conjectures," which were held at the winter AMS/MAA Joint Meeting in Boston (January, 2012), the SIAM Conference on Discrete Mathematics in Halifax (June,2012) and the winter AMS/MAA Joint meeting in Baltimore(January, 2014). In an effort to aid in the creation and dissemination of open problems, which is crucial to the growth and development of a field, the editors requested the speakers, as well as notable experts in graph theory, to contribute to these volumes.

About the authors

Ralucca Gera is an Associate Professor of Mathematics and a researcher in the Center for Cyber Warfare at the Naval Postgraduate School, as well as the Network Science Center at United States Military Academy.  Her research interests are in graph theory and network science.  

Stephen T. Hedetniemi is a Professor Emeritus in the School of Computing at Clemson University. His research interests include graph theory, graph algorithms, and computational complexity. 

Craig Larson is an Associate Professor in the Department of Mathematics and Applied Mathematics at Virginia Commonwealth University. His research interests are graph theory, combinatorics, and discrete mathematics. 

Reviews

“The title is accurate. This is a collection of 16 independent papers by 17 authors. Each of these chapters is self-contained and can be understood by readers with no more than an undergraduate class in graph theory. … The format and accessibility of the book make it a good choice for a course or seminar in which each student can present a chapter.” (Miklós Bóna, MAA Reviews, maa.org, February, 2017)


Table of contents (16 chapters)

Table of contents (16 chapters)

Buy this book

eBook $64.99
price for USA in USD (gross)
  • ISBN 978-3-319-31940-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $84.99
price for USA in USD
  • ISBN 978-3-319-31938-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $84.99
price for USA in USD
  • ISBN 978-3-319-81159-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Graph Theory
Book Subtitle
Favorite Conjectures and Open Problems - 1
Editors
  • Ralucca Gera
  • Stephen Hedetniemi
  • Craig Larson
Series Title
Problem Books in Mathematics
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-31940-7
DOI
10.1007/978-3-319-31940-7
Hardcover ISBN
978-3-319-31938-4
Softcover ISBN
978-3-319-81159-8
Series ISSN
0941-3502
Edition Number
1
Number of Pages
XII, 291
Number of Illustrations
90 b/w illustrations, 24 illustrations in colour
Topics