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» Measurable chromatic numbers
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IPL
2008
145views more  IPL 2008»
14 years 11 months ago
Complexity analysis of a decentralised graph colouring algorithm
Colouring a graph with its chromatic number of colours is known to be NP-hard. Identifying an algorithm in which descisions are made locally with no information about the graph�...
Ken R. Duffy, N. O'Connell, Artëm Sapozhnikov
ENDM
2007
68views more  ENDM 2007»
14 years 11 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»
14 years 10 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»
14 years 10 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...
IJCAI
1989
15 years 28 days ago
Chromatic Stereopsis
It is well known that chromatic information can assist in solving the stereo correspondence problem. It has also been suggested that there are two independent first-order stereop...
John R. Jordan III, Alan C. Bovik, Wilson S. Geisl...