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CORR
2010
Springer
127views Education» more  CORR 2010»
14 years 9 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
14 years 11 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»
14 years 10 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»
14 years 9 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»
14 years 9 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...