Pancyclic and Bipancyclic Graphs

Nonfiction, Science & Nature, Mathematics, Combinatorics, Graphic Methods
Cover of the book Pancyclic and Bipancyclic Graphs by Abdollah Khodkar, W.D. Wallis, John C. George, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Abdollah Khodkar, W.D. Wallis, John C. George ISBN: 9783319319513
Publisher: Springer International Publishing Publication: May 18, 2016
Imprint: Springer Language: English
Author: Abdollah Khodkar, W.D. Wallis, John C. George
ISBN: 9783319319513
Publisher: Springer International Publishing
Publication: May 18, 2016
Imprint: Springer
Language: English

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?

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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?

More books from Springer International Publishing

Cover of the book Dynamics of Mechanical Systems with Non-Ideal Excitation by Abdollah Khodkar, W.D. Wallis, John C. George
Cover of the book The Progressive Alliance and the Rise of Labour, 1903-1922 by Abdollah Khodkar, W.D. Wallis, John C. George
Cover of the book Management of Speech and Video Telephony Quality in Heterogeneous Wireless Networks by Abdollah Khodkar, W.D. Wallis, John C. George
Cover of the book Electrochemistry and Corrosion Science by Abdollah Khodkar, W.D. Wallis, John C. George
Cover of the book The British General Election of 2017 by Abdollah Khodkar, W.D. Wallis, John C. George
Cover of the book Scientific Computing in Electrical Engineering by Abdollah Khodkar, W.D. Wallis, John C. George
Cover of the book Clues in the Diagnosis of Non-tumoral Testicular Pathology by Abdollah Khodkar, W.D. Wallis, John C. George
Cover of the book Membrane Computing by Abdollah Khodkar, W.D. Wallis, John C. George
Cover of the book Mesearch and the Performing Body by Abdollah Khodkar, W.D. Wallis, John C. George
Cover of the book Neuroscience in Information Systems Research by Abdollah Khodkar, W.D. Wallis, John C. George
Cover of the book Festivalisation of Urban Spaces by Abdollah Khodkar, W.D. Wallis, John C. George
Cover of the book Climate Change Vulnerability in Southern African Cities by Abdollah Khodkar, W.D. Wallis, John C. George
Cover of the book Challenges in Modelling and Simulation of Shale Gas Reservoirs by Abdollah Khodkar, W.D. Wallis, John C. George
Cover of the book Medicine of the Future by Abdollah Khodkar, W.D. Wallis, John C. George
Cover of the book Big Data and Internet of Things: A Roadmap for Smart Environments by Abdollah Khodkar, W.D. Wallis, John C. George
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy