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» Clique and chromatic number of circular-perfect graphs
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WG
2004
Springer
13 years 11 months ago
Coloring a Graph Using Split Decomposition
We show how to use split decomposition to compute the weighted clique number and the chromatic number of a graph and we apply these results to some classes of graphs. In particular...
Michaël Rao
CORR
2010
Springer
104views Education» more  CORR 2010»
13 years 6 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
ENDM
2007
111views more  ENDM 2007»
13 years 6 months ago
Claw-free circular-perfect graphs
The circular chromatic number of a graph is a well-studied refinement of the chromatic number. Circular-perfect graphs is a superclass of perfect graphs defined by means of this...
Arnaud Pêcher, Xuding Zhu
COMBINATORICA
2011
12 years 5 months ago
On the chromatic number of random geometric graphs
Given independent random points X1, . . . , Xn ∈ Rd with common probability distribution ν, and a positive distance r = r(n) > 0, we construct a random geometric graph Gn wi...
Colin McDiarmid, Tobias Müller
DAM
2006
124views more  DAM 2006»
13 years 6 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