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SpringerBriefs in Mathematics

Pancyclic and Bipancyclic Graphs

Authors: George, John, Khodkar, Abdollah, Wallis, W.D.

  • Provides an up-to-date survey on pancyclic and bipartite graphs 
  • Surveys fundamental ideas of graph theory
  • Creates a clear overview of the field via unified terminology 
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eBook 41,64 €
price for Spain (gross)
  • ISBN 978-3-319-31951-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 51,99 €
price for Spain (gross)
  • ISBN 978-3-319-31950-6
  • 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 book

This book is focused on pancyclic and bipancyclic graphs and is geared toward researchers and graduate students in graph theory. Readers should be familiar with the basic concepts of graph theory, the definitions of a graph and of a cycle. Pancyclic graphs contain cycles of all possible lengths from three up to the number of vertices in the graph. Bipartite graphs contain only cycles of even lengths, a bipancyclic graph is defined to be a bipartite graph with cycles of every even size from 4 vertices up to the number of vertices in the graph. Cutting edge research and fundamental results on pancyclic and bipartite graphs from a wide range of journal articles and conference proceedings are composed in this book to create a standalone presentation.

The following questions are highlighted through the book:

- What is the smallest possible number of edges in a pancyclic graph with v vertices?

- When do pancyclic graphs exist with exactly one cycle of every possible length?

- What is the smallest possible number of edges in a bipartite graph with v vertices?

- When do bipartite graphs exist with exactly one cycle of every possible length?

Reviews

“In this book, the authors give a simple survey about the sufficient conditions for a graph to be pancyclic (uniquely bipancyclic). Moreover, the authors give the proofs of some classic results which are useful tools to study and generalize cycle problems. Therefore, this book can help students and researchers alike to find inspiration and ideas on pancyclic and bipancyclic problems.” (Junqing Cai, Mathematical Reviews, February, 2017)


Table of contents (8 chapters)

Buy this book

eBook 41,64 €
price for Spain (gross)
  • ISBN 978-3-319-31951-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 51,99 €
price for Spain (gross)
  • ISBN 978-3-319-31950-6
  • 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
Pancyclic and Bipancyclic Graphs
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s) 2018
eBook ISBN
978-3-319-31951-3
DOI
10.1007/978-3-319-31951-3
Softcover ISBN
978-3-319-31950-6
Series ISSN
2191-8198
Edition Number
1
Number of Pages
XII, 108
Number of Illustrations and Tables
64 b/w illustrations
Topics