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    A Correspondence Between Maximal Complete Bipartite Subgraphs and Closed Patterns

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    For an undirected graph G without self-loop, we prove: (i) that the number of closed patterns in the adjacency matrix of G is even; (ii) that the number of the closed patterns is precisely double the number of maximal complete bipartite subgraphs of G ; (iii) that for every maximal complete bipartite subgraph, there always exists a unique pair of closed patterns that matches the two vertex sets of the subgraph. Therefore, we can enumerate all maximal complete bipartite subgraphs by using efficient algorithms for mining closed patterns which have been extensively studied in the data mining field.

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    Description

    Title : A Correspondence Between Maximal Complete Bipartite Subgraphs and Closed Patterns
    Author(s) : Jinyan Li, Haiquan Li, Donny Soh, Limsoon Wong
    Abstract : For an undirected graph G without self-loop, we prove: (i) that the number of closed patterns in the adjacency matrix of G is even; (ii) that the number of the closed patterns is precisely double the number of maximal complete bipartite subgraphs of G ; (iii) that for every maximal complete bipartite subgraph, there always exists a unique pair of closed patterns that matches the two vertex sets of the subgraph. Therefore, we can enumerate all maximal complete bipartite subgraphs by using efficient algorithms for mining closed patterns which have been extensively studied in the data mining field.
    Subject : unspecified
    Area : Other
    Language : English
    Year : 2005

    Affiliations Dept of Computer Science, National University of Singapore
    Editors : Alípio Mário Jorge, Luís Torgo, Pavel Brazdil, Rui Camacho, João Gama
    Conference_title : 9th European Conference on Principles and Practice of Knowledge Discovery in Databases
    Volume : 3721
    Publisher : Springer
    Pages : 146-156
    Url : http://www.springerlink.com/content/yjq227t411tx1277/
    Doi : 10.1007/11564126_18

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    Limsoon's Peer Evaluation activity

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