Skip to Main content Skip to Navigation
Journal articles

8-star-choosability of a graph with maximum average degree less than 3

Abstract : A proper vertex coloring of a graphGis called a star-coloring if there is no path on four vertices assigned to two colors. The graph G is L-star-colorable if for a given list assignment L there is a star-coloring c such that c(v) epsilon L(v). If G is L-star-colorable for any list assignment L with vertical bar L(v)vertical bar \textgreater= k for all v epsilon V(G), then G is called k-star-choosable. The star list chromatic number of G, denoted by X-s(l)(G), is the smallest integer k such that G is k-star-choosable. In this article, we prove that every graph G with maximum average degree less than 3 is 8-star-choosable. This extends a result that planar graphs of girth at least 6 are 8-star-choosable [A. Kundgen, C. Timmons, Star coloring planar graphs from small lists, J. Graph Theory, 63(4): 324-337, 2010].
Document type :
Journal articles
Complete list of metadata

Cited literature [13 references]  Display  Hide  Download

https://hal.inria.fr/hal-00990482
Contributor : Service Ist Inria Sophia Antipolis-Méditerranée / I3s <>
Submitted on : Tuesday, May 13, 2014 - 3:39:09 PM
Last modification on : Tuesday, August 18, 2020 - 4:46:07 PM
Long-term archiving on: : Monday, April 10, 2017 - 10:08:03 PM

File

1459-6706-1-PB.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00990482, version 1

Collections

Citation

Min Chen, André Raspaud, Weifan Wang. 8-star-choosability of a graph with maximum average degree less than 3. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2011, Vol. 13 no. 3 (3), pp.97--110. ⟨hal-00990482⟩

Share

Metrics

Record views

252

Files downloads

958