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.
A Class of lattices and boolean functions related to a Manickam-Miklös-Singhi Conjecture
CHIASELOTTI, Giampiero
2013-01-01
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.File in questo prodotto:
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