94 search results - page 4 / 19 » A study of the total chromatic number of equibipartite graph... |
CC
2006
Springer
13 years 7 months ago
2006
Springer
The sum of a coloring is the sum of the colors assigned to the vertices (assuming that the colors are positive integers). The sum (G) of graph G is the smallest sum that can be ach...
CORR
2007
Springer
13 years 7 months ago
2007
Springer
A k-frugal colouring of a graph G is a proper colouring of the vertices of G such that no colour appears more than k times in the neighbourhood of a vertex. This type of colouring...
DM
2000
13 years 7 months ago
2000
Erdos proved that there are graphs with arbitrarily large girth and chromatic number. We study the extension of this for generalized chromatic numbers. Generalized graph coloring d...
SIAMDM
2010
13 years 6 months ago
2010
Reed conjectured that for every ε > 0 and every integer ∆, there exists g such that the fractional total chromatic number of every graph with maximum degree ∆ and girth at...
JCO
2007
13 years 7 months ago
2007
We consider the problem of orienting the edges of a graph so that the length of a longest path in the resulting digraph is minimum. As shown by Gallai, Roy and Vitaver, this edge ...