Total and fractional total colourings of circulant graphs

Riadh Khennoufa (1) , Olivier Togni (1)

1 Le2i - Laboratoire Electronique, Informatique et Image [UMR6306]

In this paper, the total chromatic number and the fractional total chromatic number of circulant graphs are studied. For cubic circulant graphs we give upper bounds on the fractional total chromatic number and for 4-regular circulant graphs we find the total chromatic number for some cases and we give the exact value of the fractional total chromatic number in most cases.

Mots clés: Graph colouring; Total colouring; Fractional total colouring; Circulant graph

Domaines: Mathématique discrète [cs.DM]

Riadh Khennoufa, Olivier Togni. Total and fractional total colourings of circulant graphs. Discrete Mathematics, 2008, 308 (24), pp.Pages 6316-6329. ⟨10.1016/j.disc.2007.11.070⟩. ⟨hal-00655719⟩