Star Coloring of Subcubic Graphs
T. Karthick ; C.R. Subramanian
Discussiones Mathematicae Graph Theory, Tome 33 (2013), p. 373-385 / Harvested from The Polish Digital Mathematics Library

A star coloring of an undirected graph G is a coloring of the vertices of G such that (i) no two adjacent vertices receive the same color, and (ii) no path on 4 vertices is bi-colored. The star chromatic number of G, χs(G), is the minimum number of colors needed to star color G. In this paper, we show that if a graph G is either non-regular subcubic or cubic with girth at least 6, then χs(G) ≤ 6, and the bound can be realized in linear time.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:268043
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T. Karthick; C.R. Subramanian. Star Coloring of Subcubic Graphs. Discussiones Mathematicae Graph Theory, Tome 33 (2013) pp. 373-385. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_7151_dmgt_1672/

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