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» The Chromatic Number Of Graph Powers
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JGT
2010
135views more  JGT 2010»
13 years 4 months ago
Cycle length parities and the chromatic number
In 1966 Erd˝os and Hajnal proved that the chromatic number of graphs whose
Christian Löwenstein, Dieter Rautenbach, Ingo...
ENDM
2006
119views more  ENDM 2006»
13 years 5 months ago
The incidence game chromatic number
We introduce the incidence game chromatic number which unifies the ideas of game chromatic number and incidence coloring number of an undirected graph. For kdegenerate graphs with...
Stephan Dominique Andres
APPML
2011
13 years 23 days ago
The fractional chromatic number of Zykov products of graphs
Zykov designed one of the oldest known family of triangle-free graphs with arbitrarily high chromatic number. We determine the fractional chromatic number of the Zykov product of ...
Pierre Charbit, Jean-Sébastien Sereni
CORR
2010
Springer
168views Education» more  CORR 2010»
13 years 5 months ago
Upper oriented chromatic number of undirected graphs and oriented colorings of product graphs
The oriented chromatic number of an oriented graph G is the minimum order of an oriented graph H such that G admits a homomorphism to H. The oriented chromatic number of an undire...
Eric Sopena
DM
2007
114views more  DM 2007»
13 years 5 months ago
An inequality for the group chromatic number of a graph
—We give an inequality for the group chromatic number of a graph as an extension of Brooks’ Theorem. Moreover, we obtain a structural theorem for graphs satisfying the equality...
Hong-Jian Lai, Xiangwen Li, Gexin Yu