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Applied and Numerical Harmonic Analysis
cover

Adventures in Graph Theory

Authors: Joyner, David, Melles, Caroline Grant

  • ​Interdisciplinary textbook that does not assume a strong math background
  • Presents recent results in mathematics relevant to graph theory
  • Includes Sage code to explicitly illustrate computations 
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eBook 67,82 €
price for Spain (gross)
  • ISBN 978-3-319-68383-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-319-68381-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-319-88593-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

This textbook acts as a pathway to higher mathematics by seeking and illuminating the connections between graph theory and diverse fields of mathematics, such as calculus on manifolds, group theory, algebraic curves, Fourier analysis, cryptography and other areas of combinatorics. An overview of graph theory definitions and polynomial invariants for graphs prepares the reader for the subsequent dive into the applications of graph theory. To pique the reader’s interest in areas of possible exploration, recent results in mathematics appear throughout the book, accompanied with examples of related graphs, how they arise, and what their valuable uses are. The consequences of graph theory covered by the authors are complicated and far-reaching, so topics are always exhibited in a user-friendly manner with copious graphs, exercises, and Sage code for the computation of equations. Samples of the book’s source code can be found at github.com/springer-math/adventures-in-graph-theory.

The text is geared towards advanced undergraduate and graduate students and is particularly useful for those trying to decide what type of problem to tackle for their dissertation. This book can also serve as a reference for anyone interested in exploring how they can apply graph theory to other parts of mathematics.

About the authors

David Joyner is a professor at the United States Naval Academy Mathematics Department. His research areas include error-correcting code, representation theory, and the applications of number theory to communication theory and cryptography.Caroline Grant Melles is a professor at the United States Naval Academy Mathematics Department.

Reviews

“The book illustrates and explores connections between graph theory and other areas of combinatorics. … This book is really interdisciplinary and it is a good source for mathematicians of diverse areas to understand its relations with graph theory. … The text is geared towards advanced undergraduate and graduate students and is particularly useful for those trying to decide what type of problem to tackle for their dissertation.” (Vilmar Trevisan, zbMATH 1406.05001, 2019)

Table of contents (6 chapters)

Table of contents (6 chapters)
  • Introduction: Graphs—Basic Definitions

    Pages 1-39

    Joyner, W. David (et al.)

  • Graphs and Laplacians

    Pages 41-95

    Joyner, W. David (et al.)

  • Graphs as Manifolds

    Pages 97-143

    Joyner, W. David (et al.)

  • Chip-Firing Games

    Pages 145-208

    Joyner, W. David (et al.)

  • Interesting Graphs

    Pages 209-243

    Joyner, W. David (et al.)

Buy this book

eBook 67,82 €
price for Spain (gross)
  • ISBN 978-3-319-68383-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-319-68381-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-319-88593-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Adventures in Graph Theory
Authors
Series Title
Applied and Numerical Harmonic Analysis
Copyright
2017
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-68383-6
DOI
10.1007/978-3-319-68383-6
Hardcover ISBN
978-3-319-68381-2
Softcover ISBN
978-3-319-88593-3
Series ISSN
2296-5009
Edition Number
1
Number of Pages
XXVI, 327
Number of Illustrations
24 b/w illustrations, 56 illustrations in colour
Topics