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CORR
2010
Springer
127views Education» more  CORR 2010»
13 years 7 months ago
Extended core and choosability of a graph
A graph G is (a, b)-choosable if for any color list of size a associated with each vertices, one can choose a subset of b colors such that adjacent vertices are colored with disjoi...
Yves Aubry, Godin Jean-Christophe, Togni Olivier
SIROCCO
2007
13 years 9 months ago
Location Oblivious Distributed Unit Disk Graph Coloring
We present the first location oblivious distributed unit disk graph coloring algorithm having a provable performance ratio of three (i.e. the number of colors used by the algorit...
Mathieu Couture, Michel Barbeau, Prosenjit Bose, P...
ALGORITHMICA
2008
142views more  ALGORITHMICA 2008»
13 years 7 months ago
New Linear-Time Algorithms for Edge-Coloring Planar Graphs
We show efficient algorithms for edge-coloring planar graphs. Our main result is a linear-time algorithm for coloring planar graphs with maximum degree with max{, 9} colors. Thus...
Richard Cole, Lukasz Kowalik
JCT
2008
68views more  JCT 2008»
13 years 7 months ago
An Ore-type theorem on equitable coloring
A proper vertex coloring of a graph is equitable if the sizes of its color classes differ by at most one. In this note, we prove that if G is a graph such that for each edge xy E...
Hal A. Kierstead, Alexandr V. Kostochka
CORR
2010
Springer
88views Education» more  CORR 2010»
13 years 7 months ago
A characterization of b-perfect graphs
A b-coloring is a coloring of the vertices of a graph such that each color class contains a vertex that has a neighbor in all other color classes, and the b-chromatic number of a ...
Chính T. Hoàng, Frédér...