Star Coloring of Subcubic Graphs

• Autorzy: T. Karthick , C.R. Subramanian
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

vertex coloring; star coloring; subcubic graphs

• Wydawca: De Gruyter Open
• Czasopismo: Discussiones Mathematicae Graph Theory
• Rocznik: 2013
• Tom: 33
• Numer: 2
• Strony: 373-385

Daty

wydano

2013-05-01

online

2013-04-13

Twórcy

autor

T. Karthick

• Indian Statistical Institute, Chennai Centre Chennai- 600 113, India

autor

C.R. Subramanian

• Indian Statistical Institute, Chennai Centre Chennai- 600 113, India

Bibliografia

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Identyfikatory

DOI

10.7151/dmgt.1672