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» On the Maximum Number of Cliques in a Graph
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DM
2007
116views more  DM 2007»
14 years 11 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»
15 years 5 months 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»
15 years 6 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
15 years 1 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»
14 years 11 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...