Chromatic Properties of the Pancake Graphs

Chromatic properties of the Pancake graphs Pn, n ⩾ 2, that are Cayley graphs on the symmetric group Symn generated by prefix-reversals are investigated in the paper. It is proved that for any n ⩾ 3 the total chromatic number of Pn is n, and it is shown that the chromatic index of Pn is n − 1. We pre...

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Bibliographic Details
Main Author: Konstantinova Elena
Format: Article
Language:English
Published: Sciendo 2017-08-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:http://www.degruyter.com/view/j/dmgt.2017.37.issue-3/dmgt.1978/dmgt.1978.xml?format=INT