Authors:
- 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?
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (14 chapters)
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Front Matter
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Back Matter
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.
Keywords
- chromatic graph theory
- chromatic index
- chromatic number
- edge coloring
- graph theory
- vertex coloring
- Kaleidoscopic View
- Graph Colorings
- Four Color Problem
- binomial colorings
- kaleidoscopic colorings
- majestic colorings
- region colorings of planar graphs
- Complete Kaleidoscopes
- Eulerian Graphs and Digraphs
- Strong Edge Colorings
- Graceful Labelings
- Harmonious Colorings
- Harmonious Labelings
- Banquet Seating Problem
Reviews
Authors and Affiliations
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Dept of Math, Western Michigan Univ, Kalamazoo, USA
Ping Zhang
Bibliographic Information
Book Title: A Kaleidoscopic View of Graph Colorings
Authors: Ping Zhang
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-3-319-30518-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author 2016
Softcover ISBN: 978-3-319-30516-5Published: 07 April 2016
eBook ISBN: 978-3-319-30518-9Published: 30 March 2016
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: XIII, 157
Number of Illustrations: 79 b/w illustrations
Topics: Graph Theory, Combinatorics, Applications of Mathematics