Abstract:A collection of sets on a ground set U n (U n = {1, 2, ..., n}) closed under intersection and containing U n is known as a Moore family. The set of Moore families for a fixed n is in bijection with the set of Moore co-families (union-closed families containing the empty set) denoted M n. This paper follows the work initiated in [9] in which we have given an inductive definition of the lattice of Moore co-families. In the present paper we use this definition to define a recursive decomposition tree of any Moore… Show more
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