EAN: 9783319203935

SPRINGERBRIEFS IN MATHEMATICS COLOR-INDUCED G...

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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