Abstract
Let L = L1 × ... × Ln be the product of n lattices, each of which has a bounded width. Given a subset A ? L, we show that the problem of extending a given partial list of maximal independent elements of A in L can be solved in quasi-polynomial time. This result implies, in particular, that the problem of generating all minimal infrequent elements for a database with semi-lattice attributes, and the problem of generating all maximal boxes that contain at most a specified number of points from a given n-dimensional point set, can both be solved in incremental quasi-polynomial time.
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