17 citations · 20 across the 4 of their papers we have counts for
4 papers
A Minimum problem for finite sets of real numbers with non-negative sum
Giampiero Chiaselotti, Giuseppe Marino, Caterina Nardi
Let and be two integers such that ; we denote by [] the minimum [maximum] number of the non-negative partial sums of a sum $\sum_{1=1}^n a_i \…
Extension results for boolean maps and a class of systems of linear inequalities
Cinzia Bisi, Giampiero Chiaselotti
In this paper we introduce the notion of {\it core} for two specific classes of boolean maps on finite involution posets (which are a generalization of the boolean lattices) and we…
A Class of lattices and boolean functions related to a Manickam-Miklös-Singhi Conjecture
Cinzia Bisi, Giampiero Chiaselotti
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, Miklös and Singhi. We stu…
New results related to a conjecture of Manickam and Singhi
G. Chiaselotti, G. Infante, G. Marino
In 1998 Manickam and Singhi conjectured that for every positive integer and every , every set of real numbers whose sum is nonnegative contains at least $\binom {…