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» Chromaticity of some families of dense graphs
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DM
2002
76views more  DM 2002»
13 years 4 months ago
Chromaticity of some families of dense graphs
For a graph G, let P(G; ) be its chromatic polynomial and let [G] be the set of graphs having P(G; ) as their chromatic polynomial. We call [G] the chromatic equivalence class of ...
Feng Ming Dong, Kee L. Teo, Charles H. C. Little, ...
WG
2005
Springer
13 years 10 months ago
Computation of Chromatic Polynomials Using Triangulations and Clique Trees
In this paper, we present a new algorithm for computing the chromatic polynomial of a general graph G. Our method is based on the addition of edges and contraction of non-edges of ...
Pascal Berthomé, Sylvain Lebresne, Kim Nguy...
RSA
2011
89views more  RSA 2011»
12 years 11 months ago
Excluding induced subgraphs: Critical graphs
Determining the cardinality and describing the structure of H-free graphs is wellinvestigated for many graphs H. In the nineties, Prömel and Steger proved that for a graph H with...
József Balogh, Jane Butterfield
APPROX
2011
Springer
242views Algorithms» more  APPROX 2011»
12 years 4 months ago
New Tools for Graph Coloring
How to color 3 colorable graphs with few colors is a problem of longstanding interest. The best polynomial-time algorithm uses n0.2072 colors. There are no indications that colori...
Sanjeev Arora, Rong Ge
JSYML
2010
120views more  JSYML 2010»
12 years 11 months ago
First order properties on nowhere dense structures
A set A of vertices of a graph G is called d-scattered in G if no two d-neighborhoods of (distinct) vertices of A intersect. In other words, A is d-scattered if no two distinct ver...
Jaroslav Nesetril, Patrice Ossona de Mendez