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» On the Chromatic Number of Random Graphs
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COMBINATORICS
2006
183views more  COMBINATORICS 2006»
14 years 11 months ago
On Oriented Arc-Coloring of Subcubic Graphs
A homomorphism from an oriented graph G to an oriented graph H is a mapping from the set of vertices of G to the set of vertices of H such that -----(u)(v) is an arc in H whenever...
Alexandre Pinlou
DAM
2006
124views more  DAM 2006»
14 years 11 months ago
Coloring copoints of a planar point set
To a set of n points in the plane, one can associate a graph that has less than n2 vertices and has the property that k-cliques in the graph correspond vertex sets of convex k-gon...
Walter Morris
CORR
2010
Springer
104views Education» more  CORR 2010»
14 years 11 months ago
Coloring translates and homothets of a convex body
We obtain improved upper bounds and new lower bounds on the chromatic number as a linear function of the clique number, for the intersection graphs (and their complements) of fini...
Adrian Dumitrescu, Minghui Jiang
JCT
2007
93views more  JCT 2007»
14 years 11 months ago
The circular chromatic index of graphs of high girth
We show that for each ε > 0 and each integer ∆ ≥ 1, there exists a number g such that for any graph G of maximum degree ∆ and girth at least g, the circular chromatic in...
Tomás Kaiser, Daniel Král, Riste Skr...
JGT
2010
127views more  JGT 2010»
14 years 10 months ago
On the minimum degree of minimal Ramsey graphs
We investigate the minimization problem of the minimum degree of minimal Ramsey graphs, initiated by Burr, Erd˝os, and Lov´asz. We determine the corresponding graph parameter fo...
Tibor Szabó, Philipp Zumstein, Stefanie Z&u...