Color-Induced Graph Colorings (SpringerBriefs in Mathematics) - Tapa blanda

Libro 57 de 155: SpringerBriefs in Mathematics

Zhang, Ping

 
9783319203935: Color-Induced Graph Colorings (SpringerBriefs in Mathematics)
Tapa blanda
ISBN 10: 3319203932 ISBN 13: 9783319203935
Editorial: Springer, 2015

Sinopsis

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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Críticas

“The book gives a detailed survey on concepts of vertex-colorings which are induced by edge-colorings. ... It is well written and provides a good introduction and survey on color-induced graph colorings for researchers and graduate students in the mathematics community, especially the graph theory community.” (Eckhard Steffen, zbMATH, Vol. 1365.05006, 2017)

Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2015
Idioma
Inglés
ISBN 10 
3319203932
ISBN 13 
9783319203935
Encuadernación
Tapa blanda
Número de edición
1
Número de páginas
132
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

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