A Class of lattices and boolean functions related to a Manickam-Miklös-Singhi Conjecture

Published 10 Apr 2010 in math.CO, cs.DM, and cs.FL | (1004.1724v3)

Abstract: The aim of this paper is to build a new family of lattices related to some combinatorial extremal sum problems, in particular to a conjecture of Manickam, Mikl\"os and Singhi. We study the fundamentals properties of such lattices and of a particular class of boolean functions defined on them.

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