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The star chromatic number of a graph

✍ Scribed by H. L. Abbott; B. Zhou


Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
469 KB
Volume
17
Category
Article
ISSN
0364-9024

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✦ Synopsis


Abstract

We study a generalization of the notion of the chromatic number of a graph in which the colors assigned to adjacent vertices are required to be, in a certain sense, far apart. Β© 1993 John Wiley & Sons, Inc.


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## Abstract Star chromatic number, introduced by A. Vince, is a natural generalization of chromatic number. We consider the question, β€œWhen is Ο‡\* < Ο‡?” We show that Ο‡\* < Ο‡ if and only if a particular digraph is acyclic and that the decisioin problem associated with this question is probably not i