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» A Bound on the Total Chromatic Number
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103
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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
SIAMDM
2010
138views more  SIAMDM 2010»
14 years 10 months ago
The Last Fraction of a Fractional Conjecture
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...
Frantisek Kardos, Daniel Král', Jean-S&eacu...
JGT
2008
97views more  JGT 2008»
14 years 11 months ago
On the oriented chromatic index of oriented 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...
Pascal Ochem, Alexandre Pinlou, Eric Sopena
JCT
2010
70views more  JCT 2010»
14 years 10 months ago
Graphs with bounded tree-width and large odd-girth are almost bipartite
We prove that for every k and every ε > 0, there exists g such that every graph with tree-width at most k and odd-girth at least g has circular chromatic number at most 2 + ε...
Alexandr V. Kostochka, Daniel Král', Jean-S...
90
Voted
COMBINATORICS
2004
108views more  COMBINATORICS 2004»
14 years 11 months ago
On the Chromatic Number of Intersection Graphs of Convex Sets in the Plane
Let G be the intersection graph of a finite family of convex sets obtained by translations of a fixed convex set in the plane. We show that every such graph with clique number k i...
Seog-Jin Kim, Alexandr V. Kostochka, Kittikorn Nak...