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» On the Maximum Number of Cliques in a Graph
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STACS
2010
Springer
14 years 7 days ago
Finding Induced Subgraphs via Minimal Triangulations
Potential maximal cliques and minimal separators are combinatorial objects which were introduced and studied in the realm of minimal triangulation problems including Minimum Fill-i...
Fedor V. Fomin, Yngve Villanger
LION
2007
Springer
138views Optimization» more  LION 2007»
13 years 11 months ago
A Continuous Characterization of Maximal Cliques in k-Uniform Hypergraphs
Abstract. In 1965 Motzkin and Straus established a remarkable connection between the local/global maximizers of the Lagrangian of a graph G over the standard simplex ∆ and the ma...
Samuel Rota Bulò, Marcello Pelillo
DAM
2008
87views more  DAM 2008»
13 years 5 months ago
Partial characterizations of clique-perfect graphs I: Subclasses of claw-free graphs
A clique-transversal of a graph G is a subset of vertices that meets all the cliques of G. A clique-independent set is a collection of pairwise vertex-disjoint cliques. The clique...
Flavia Bonomo, Maria Chudnovsky, Guillermo Dur&aac...
DM
2002
107views more  DM 2002»
13 years 5 months ago
Edge clique graphs and some classes of chordal graphs
The edge clique graph of a graph G is one having as vertices the edges of G, two vertices being adjacent if the corresponding edges of G belong to a common clique. We describe cha...
Márcia R. Cerioli, Jayme Luiz Szwarcfiter
SWAT
1994
Springer
113views Algorithms» more  SWAT 1994»
13 years 9 months ago
Trapezoid Graphs and Generalizations, Geometry and Algorithms
Trapezoid graphs are a class of cocomparability graphs containing interval graphs and permutation graphs as subclasses. They were introduced by Dagan, Golumbic and Pinter DGP]. Th...
Stefan Felsner, Rudolf Müller, Lorenz Wernisc...