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» On the Strong Chromatic Number
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ENDM
2007
68views more  ENDM 2007»
15 years 6 months ago
List Colouring Squares of Planar Graphs
In 1977, Wegner conjectured that the chromatic number of the square of every planar graph G with maximum degree ∆ ≥ 8 is at most 3
Frédéric Havet, Jan van den Heuvel, ...
JCT
2010
70views more  JCT 2010»
15 years 4 months ago
Graphs with bounded tree-width and large odd-girth are almost bipartite
We prove that for every k and every ε > 0, there exists g such that every graph with tree-width at most k and odd-girth at least g has circular chromatic number at most 2 + ε...
Alexandr V. Kostochka, Daniel Král', Jean-S...
SIAMDM
2010
138views more  SIAMDM 2010»
15 years 4 months ago
The Last Fraction of a Fractional Conjecture
Reed conjectured that for every ε > 0 and every integer ∆, there exists g such that the fractional total chromatic number of every graph with maximum degree ∆ and girth at...
Frantisek Kardos, Daniel Král', Jean-S&eacu...
WALCOM
2010
IEEE
255views Algorithms» more  WALCOM 2010»
16 years 1 months ago
Harmonious Coloring on Subclasses of Colinear Graphs
Given a simple graph G, a harmonious coloring of G is a proper vertex coloring such that each pair of colors appears together on at most one edge. The harmonious chromatic number i...
Kyriaki Ioannidou, Stavros D. Nikolopoulos
AML
2005
73views more  AML 2005»
15 years 6 months ago
Strong reducibility of partial numberings
A strong reducibility relation between partial numberings is introduced which is such that the reduction function transfers exactly the numbers which are indices under the numberin...
Dieter Spreen