Extension results for boolean maps and a class of systems of linear inequalities

Details Extension results for boolean maps and a class of systems of linear inequalities Extension results for boolean maps and a class of systems of linear inequalities

2010-12-25

arxiv.org/abs/1012.5486v1

Mathematics

Combinatorics

22 pages

Scientific paper

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 prove some extension results for such families of boolean maps. Through the properties of the core, we provide a complete characterization of such maps. The main purpose of such abstract results is their application to the study of the compatibility of a particular class of systems of linear inequalities related to a conjecture of Manickam, Mikl\"os and Singhi (\cite{ManSin88}, \cite{ManMik87}), still unsolved and that can be considered dual to the theorem of Erd\"os-Ko-Rado \cite{erd-ko-rad}.

Affiliated with

Also associated with

No associations

Rating

Extension results for boolean maps and a class of systems of linear inequalities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Extension results for boolean maps and a class of systems of linear inequalities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Extension results for boolean maps and a class of systems of linear inequalities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-94122