Listing closed sets of strongly accessible set systems with applications to data mining

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Listing closed sets of strongly accessible set systems with applications to data

We study the problem of listing all closed sets of a closure operator σ that is a partial function on the power set of some finite ground set E, i.e., σ : F → F with F ⊆ P(E). A very simple divide-and-conquer algorithm is analyzed that correctly solves this problem if and only if the domain of the closure operator is a strongly accessible set system. Strong accessibility is a strict relaxation ...

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 2010

ISSN: 0304-3975

DOI: 10.1016/j.tcs.2009.10.024