Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Thursday, June 24, 2004, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Takeaki Uno (National Institute of Informatics (NII)

Efficient Maximal Clique Enumeration and its Application to Frequent Set Mining Problem

We address the problems of enumerating maximal cliques in a given graph and maximal bipartite cliques in a bipartite graph. The problem of enumerating maximal cliques in G=(V,E) can be solved in output polynomial time, O(|V|||E|) time for each. We propose two algorithms, which run in O(M(n)) time and O(\Delta⁴) for each, where M(n) denotes the time for multiply two n-by-n matrices, and \Delta is the maximal degree of G. The enumeration of maximal bipartite clique has an application for a problem of data mining, that is, frequent itemset mining problems. We implemented our algorithm with some practical improvements, and submitted to a data mining programming competition. Our algorithms performed well not all but many instances.

(Joint work with Kazuhisa Makino, Hiroaki Arimura, Yazo Uchida and Tatsuya Asai)

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