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Pancyclic and Bipancyclic Graphs
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Catalogue Information
Field name
Details
Dewey Class
511.5
Title
Pancyclic and Bipancyclic Graphs ([EBook]) / by John C. George, Abdollah Khodkar, W.D. Wallis.
Author
George, John C.
Added Personal Name
Khodkar, Abdollah
author.
Wallis, W.D.
author.
Other name(s)
SpringerLink (Online service)
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2016.
Physical Details
XII, 108 p. 64 illus. : online resource.
Series
SpringerBriefs in Mathematics
2191-8198
ISBN
9783319319513
Summary Note
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?:
Contents note
1.Graphs -- 2. Degrees and Hamiltoneity -- 3. Pancyclicity -- 4. Minimal Pancyclicity -- 5. Uniquely Pancyclic Graphs -- 6. Bipancyclic Graphs -- 7. Uniquely Bipancyclic Graphs -- 8. Minimal Bipancyclicity -- References. .
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-319-31951-3
Links to Related Works
Subject References:
Combinatorics
.
Graph Theory
.
Mathematics
.
Numerical Analysis
.
Authors:
George, John C.
.
Khodkar, Abdollah
.
Wallis, W.D.
.
Corporate Authors:
SpringerLink (Online service)
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Series:
SpringerBriefs in Mathematics
.
Classification:
511.5
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