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» On the Strong Chromatic Number
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JGT
2008
69views more  JGT 2008»
15 years 6 months ago
List colorings with measurable sets
The measurable list chromatic number of a graph G is the smallest number such that if each vertex v of G is assigned a set L(v) of measure in a fixed atomless measure space, the...
Jan Hladký, Daniel Král, Jean-S&eacu...
CORR
2008
Springer
95views Education» more  CORR 2008»
15 years 6 months ago
The Plane-Width of Graphs
Map vertices of a graph to (not necessarily distinct) points of the plane so that two adjacent vertices are mapped at least a unit distance apart. The plane-width of a graph is th...
Marcin Kaminski, Paul Medvedev, Martin Milanic
IPL
2008
169views more  IPL 2008»
15 years 6 months ago
Oriented colorings of partial 2-trees
A homomorphism from an oriented graph G to an oriented graph H is an arc-preserving mapping f from V(G) to V(H), that is f(x)f(y) is an arc in H whenever xy is an arc in G. The or...
Pascal Ochem, Alexandre Pinlou
IWOCA
2009
Springer
152views Algorithms» more  IWOCA 2009»
16 years 1 months ago
Better Polynomial Algorithms on Graphs of Bounded Rank-Width
Abstract. Although there exist many polynomial algorithms for NPhard problems running on a bounded clique-width expression of the input graph, there exists only little comparable w...
Robert Ganian, Petr Hlinený
COMBINATORICS
2006
97views more  COMBINATORICS 2006»
15 years 6 months ago
H-Free Graphs of Large Minimum Degree
We prove the following extension of an old result of Andr
Noga Alon, Benny Sudakov