Concurrent users
Unlimited
Authorized users
Authorized users
Document Delivery Supplied
Can lend chapters, not whole ebooks
Title
Color-induced graph colorings [electronic resource] / Ping Zhang.
ISBN
9783319203942 electronic book
3319203940 electronic book
9783319203935
Published
Cham : Springer, 2015.
Copyright
©2015
Language
English
Description
1 online resource.
Other Standard Identifiers
10.1007/978-3-319-20394-2 doi
Call Number
QA166.247
Dewey Decimal Classification
511/.56
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (viewed August 18, 2015).
Series
SpringerBriefs in mathematics.
Available in Other Form
Print version: 9783319203935
1. Introduction
2. The Irregularity Strength of a Graph
3. Modular Sum-Defined Irregular Colorings
4. Set-Defined Irregular Colorings
5. Multiset-Defined Irregular Colorings
6. Sum-Defined Neighbor-Distinguishing Colorings
7. Modular Sum-Defined Neighbor-Distinguishing Colorings
8. Strong Edge Colorings of Graphs
9. Sum-Defined Chromatic Indices
References
Index.
