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An algorithm to discover the k-clique cover in networks

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In social network analysis, a k-clique is a relaxed clique, i.e., a k-clique is a quasi-complete sub-graph. A k-clique in a graph is a sub-graph where the distance between any two vertices is no greater than k. The visualization of a small number of vertices can be easily performed in a graph. However, when the number of vertices and edges increases the visualization becomes incomprehensible. In this paper, we propose a new graph mining approach based on k-cliques. The concept of relaxed clique is extended to the whole graph, to achieve a general view, by covering the network with k-cliques. The sequence of k-clique covers is presented, combining small world concepts with community structure components. Computational results and examples are presented.

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Data mining Social networks Graph mining

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Citation

Cavique, Luís; Mendes, Armando B.; Santos, Jorge M. Azevedo - An algorithm to discover the k-clique cover in networks. In Lopes, Luís Seabra [et al.] eds. - "Progress in artificial intelligence" [Em linha]. Springer-Verlag : Berlin, 2009. ISBN 978-3-642-04685-8. p. 363-373

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Springer-Verlag Berlin Heidelberg

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