Authors:
- Provides intriguing open problems and conjectures
- Offers a comprehensive treatment of numerous color-induced graph colorings
- Presents the background and motivation for the concept of color-induced colorings of graphs
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
About this book
A comprehensive treatment of color-induced graph colorings is presented in this book, emphasizing vertex colorings induced by edge colorings. The coloring concepts described in this book depend not only on the property required of the initial edge coloring and the kind of objects serving as colors, but also on the property demanded of the vertex coloring produced. For each edge coloring introduced, background for the concept is provided, followed by a presentation of results and open questions dealing with this topic. While the edge colorings discussed can be either proper or unrestricted, the resulting vertex colorings are either proper colorings or rainbow colorings. This gives rise to a discussion of irregular colorings, strong colorings, modular colorings, edge-graceful colorings, twin edge colorings and binomial colorings. Since many of the concepts described in this book are relatively recent, the audience for this book is primarily mathematicians interested in learning some new areas of graph colorings as well as researchers and graduate students in the mathematics community, especially the graph theory community.
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Authors and Affiliations
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Department of Mathematics, Western Michigan University, Kalamazoo, USA
Ping Zhang
Bibliographic Information
Book Title: Color-Induced Graph Colorings
Authors: Ping Zhang
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-3-319-20394-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Ping Zhang 2015
Softcover ISBN: 978-3-319-20393-5Published: 18 August 2015
eBook ISBN: 978-3-319-20394-2Published: 10 August 2015
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: XIV, 118
Number of Illustrations: 48 b/w illustrations
Topics: Graph Theory, Combinatorics