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» Contractibility and the clique graph operator
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DM
2008
75views more  DM 2008»
13 years 8 months ago
Contractibility and the clique graph operator
Francisco Larrión, Miguel A. Pizaña,...
WG
2005
Springer
14 years 2 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...
DAM
2010
86views more  DAM 2010»
13 years 8 months ago
The clique operator on circular-arc graphs
Min Chih Lin, Francisco J. Soulignac, Jayme Luiz S...
JGT
2006
70views more  JGT 2006»
13 years 8 months ago
Vertex partitions of chordal graphs
Abstract: A k-tree is a chordal graph with no (k + 2)-clique. An -treepartition of a graph G is a vertex partition of G into `bags,' such that contracting each bag to a single...
David R. Wood
ENDM
2007
74views more  ENDM 2007»
13 years 8 months ago
The order of the largest complete minor in a random graph
Let ccl(G) denote the order of the largest complete minor in a graph G (also called the contraction clique number) and let Gn,p denote a random graph on n vertices with edge probab...
Nikolaos Fountoulakis, Daniela Kühn, Deryk Os...