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» Total and fractional total colourings of circulant graphs
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DM
2008
116views more  DM 2008»
13 years 4 months ago
Total and fractional total colourings of circulant graphs
In this paper, the total chromatic number and fractional total chromatic number of circulant graphs are studied. For cubic circulant graphs we give upper bounds on the fractional ...
Riadh Khennoufa, Olivier Togni
COMBINATORICS
2006
114views more  COMBINATORICS 2006»
13 years 4 months ago
Total 4-Choosability of Series-Parallel Graphs
It is proved that, if G is a K4-minor-free graph with maximum degree 3, then G is totally 4-choosable; that is, if every element (vertex or edge) of G is assigned a list of 4 colo...
Douglas R. Woodall
COMBINATORICS
2006
121views more  COMBINATORICS 2006»
13 years 4 months ago
Edge and Total Choosability of Near-Outerplanar Graphs
It is proved that, if G is a K4-minor-free graph with maximum degree 4, then G is totally ( + 1)-choosable; that is, if every element (vertex or edge) of G is assigned a list of ...
Timothy J. Hetherington, Douglas R. Woodall
DAM
2008
85views more  DAM 2008»
13 years 4 months ago
Fractionally total colouring Gn, p
Conor Meagher, Bruce A. Reed
DM
2010
115views more  DM 2010»
13 years 4 months ago
Edge colouring by total labellings
We introduce the concept of an edge-colouring total k-labelling. This is a labelling of the vertices and the edges of a graph G with labels 1, 2, . . . , k such that the weights o...
Stephan Brandt, Kristína Budajová, D...