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MIKL´ OS-MANICKAM-SINGHI CONJECTURES ON PARTIAL GEOMETRIES
In this paper we give a proof of the Mikl´os-Manickam-Singhi (MMS) conjecture for some partial geometries. Specifically, we give a condition on partial geometries which implies that the MMS conjecture holds. Further, ...
An Erdős-Ko-Rado theorem for finite \(2\)-transitive groups
(European Journal of Combinatorics, 2016)
We prove an analogue of the classical Erdős-Ko-Rado theorem for intersecting sets of permutations in finite \(2\)-transitive groups. Given a finite group \(G\) acting faithfully and \(2\)-transitively on the set ...