SpringerBriefs in Mathematics

A Kaleidoscopic View of Graph Colorings

Authors: Zhang, Ping

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  • ​Assembles the latest  research on chromatic graph theory, vertex colorings, edge colorings, binomial colorings, kaleidoscopic colorings and majestic colorings
  • Contains detailed proofs and illustrations
  • Provides a number of new problems and topics to study​
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  • ISBN 978-3-319-30518-9
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  • ISBN 978-3-319-30516-5
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About this book

This book describes kaleidoscopic topics that have developed in the area of graph colorings. Unifying current material on graph coloring, this book describes current information on vertex and edge colorings in graph theory, including harmonious colorings, majestic colorings, kaleidoscopic colorings and binomial colorings.  Recently there have been a number of breakthroughs in vertex colorings that give rise to other colorings in a graph, such as graceful labelings of graphs that have been reconsidered under the language of colorings.

The topics presented in this book include sample detailed proofs and illustrations, which depicts elements that are often overlooked. This book is ideal for graduate students and researchers in graph theory, as it covers a broad range of topics and makes connections between recent developments and well-known areas in graph theory.

Reviews

“This book has the unique goal of covering the non-typical types of colorings in hopes of leading to new research and, in effect, providing a useful text with problems approachable for undergraduate students and up. … The author provides many short proofs that illustrate the different types of proof techniques used to solve these types of graph theory problems. Additionally, the author has included many open questions to show some direction in which to take one's research.” (John Asplund, Mathematical Reviews, November, 2016)


Table of contents (14 chapters)

Table of contents (14 chapters)

Buy this book

eBook n/a
  • ISBN 978-3-319-30518-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
Softcover n/a
  • ISBN 978-3-319-30516-5
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
A Kaleidoscopic View of Graph Colorings
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
The Author
eBook ISBN
978-3-319-30518-9
DOI
10.1007/978-3-319-30518-9
Softcover ISBN
978-3-319-30516-5
Series ISSN
2191-8198
Edition Number
1
Number of Pages
XIII, 157
Number of Illustrations
79 b/w illustrations
Topics