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Color-induced graph colorings [electronic resource] / Ping Zhang.

9783319203942 electronic book
3319203940 electronic book
9783319203935

Cham : Springer, 2015.

©2015

English

1 online resource.

10.1007/978-3-319-20394-2 doi

QA166.247

511/.56

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.

Includes bibliographical references and index.

Access limited to authorized users.

Online resource; title from PDF title page (viewed August 18, 2015).

SpringerBriefs in mathematics.

Print version: 9783319203935

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