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arXiv · 1510.01144

Minimal number of edges in hypergraph guaranteeing perfect fractional matching and MMS conjecture, complete version

Vladimir Blinovsky
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Abstract

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-Miklós-Singhi conjecture. This paper is combined from papers~\cite{09},~\cite{08}.

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Vladimir Blinovsky. 2017-03-14. Minimal number of edges in hypergraph guaranteeing perfect fractional matching and MMS conjecture, complete version. https://arxiv.org/abs/1510.01144

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