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

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

2010-04-10

arxiv.org/abs/1004.1724v3

Mathematics

Combinatorics

The title has been changed, automata sections have been removed, the global number of pages has been reduced noticeably. Paper

Scientific paper

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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