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» On the Maximum Number of Cliques in a Graph
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DM
2007
116views more  DM 2007»
13 years 7 months ago
The Ramsey numbers for a cycle of length six or seven versus a clique of order seven
: For two given graphs G1 and G2, the Ramsey number R(G1, G2) is the smallest integer n such that for any graph G of order n, either G contains G1 or the complement of G contains G...
T. C. Edwin Cheng, Yaojun Chen, Yunqing Zhang, C. ...
SWAT
2004
Springer
163views Algorithms» more  SWAT 2004»
14 years 25 days ago
New Algorithms for Enumerating All Maximal Cliques
In this paper, we consider the problems of generating all maximal (bipartite) cliques in a given (bipartite) graph G = (V, E) with n vertices and m edges. We propose two algorithms...
Kazuhisa Makino, Takeaki Uno
LION
2009
Springer
125views Optimization» more  LION 2009»
14 years 2 months ago
New Bounds on the Clique Number of Graphs Based on Spectral Hypergraph Theory
This work introduces new bounds on the clique number of graphs derived from a result due to S´os and Straus, which generalizes the Motzkin-Straus Theorem to a specific class of h...
Samuel Rota Bulò, Marcello Pelillo
AAAI
2007
13 years 9 months ago
Macroscopic Models of Clique Tree Growth for Bayesian Networks
In clique tree clustering, inference consists of propagation in a clique tree compiled from a Bayesian network. In this paper, we develop an analytical approach to characterizing ...
Ole J. Mengshoel
ARSCOM
2006
100views more  ARSCOM 2006»
13 years 7 months ago
On clique-perfect and K-perfect graphs
A graph G is clique-perfect if the cardinality of a maximum cliqueindependent set of H is equal to the cardinality of a minimum cliquetransversal of H, for every induced subgraph ...
Flavia Bonomo, Guillermo Durán, Marina Gros...