%0 Journal Article
%T Minimal number of edges in hypergraph guaranteeing perfect fractional matching and MMS conjecture, complete version
%A Vladimir Blinovsky
%J Mathematics
%D 2015
%I arXiv
%X In this paper we prove Ahlswede- Khachatrian conjecture~\cite{1} up to finite number of cases, which can be checked using modern computers. From this conjecture follows conjecture from~\cite{2} and Manickam-Mikl\'{o}s-Singhi conjecture. This paper is combined from papers~\cite{09},~\cite{08}.
%U http://arxiv.org/abs/1510.01144v1