383 search results - page 1 / 77 » A Bound on the Total Chromatic Number |
DM
2008
13 years 4 months ago
2008
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 ...
COMBINATORICA
1998
13 years 4 months ago
1998
We prove that the total chromatic number of any graph with maximum degree is at most plus an absolute constant. In particular, we show that for su ciently large, the total chromat...
DM
1998
13 years 4 months ago
1998
The total chromatic number zt(G) of a graph G is the least number of colors needed to color the vertices and edges of G so that no adjacent vertices or edges receive the same colo...
ENDM
2006
13 years 4 months ago
2006
We introduce the incidence game chromatic number which unifies the ideas of game chromatic number and incidence coloring number of an undirected graph. For kdegenerate graphs with...
DAM
2007
13 years 4 months ago
2007
The packing chromatic number χρ(G) of a graph G is the smallest integer k such that the vertex set of G can be partitioned into packings with pairwise different widths. Several...