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» Measurable chromatic numbers
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DM
2008
106views more  DM 2008»
14 years 12 months ago
Chromatic capacity and graph operations
The chromatic capacity cap(G) of a graph G is the largest k for which there exists a k-coloring of the edges of G such that, for every coloring of the vertices of G with the same ...
Jack Huizenga
SODA
2000
ACM
121views Algorithms» more  SODA 2000»
15 years 1 months ago
Coloring powers of planar graphs
We give nontrivial bounds for the inductiveness or degeneracy of power graphs Gk of a planar graph G. This implies bounds for the chromatic number as well, since the inductiveness ...
Geir Agnarsson, Magnús M. Halldórsso...
JCT
2006
73views more  JCT 2006»
14 years 11 months ago
Colouring lines in projective space
Let V be a vector space of dimension v over a field of order q. The q-Kneser graph has the kdimensional subspaces of V as its vertices, where two subspaces and are adjacent if and...
Ameera Chowdhury, Chris D. Godsil, Gordon F. Royle
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
93views Education» more  CORR 2010»
14 years 12 months ago
Injective colorings of graphs with low average degree
Let mad(G) denote the maximum average degree (over all subgraphs) of G and let i(G) denote the injective chromatic number of G. We prove that if 4 and mad(G) < 14 5 , then i(G...
Daniel W. Cranston, Seog-Jin Kim, Gexin Yu