Authors:
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
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?
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Authors and Affiliations
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BARNESVILLE, USA
John C. George
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Department of Mathematics, University of West Georgia, Carrollton, USA
Abdollah Khodkar
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Department of Mathematics, Southern Illinois University, Evansville, USA
W.D. Wallis
Bibliographic Information
Book Title: Pancyclic and Bipancyclic Graphs
Authors: John C. George, Abdollah Khodkar, W.D. Wallis
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-3-319-31951-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s) 2016
Softcover ISBN: 978-3-319-31950-6Published: 27 May 2016
eBook ISBN: 978-3-319-31951-3Published: 18 May 2016
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: XII, 108
Number of Illustrations: 64 b/w illustrations
Topics: Graph Theory, Combinatorics, Numerical Analysis