Manickam-Mikl\'os-Singhi Conjectures on Partial Geometries
Combinatorics
2017-08-11 v2
Abstract
In this paper we give a proof of the Manickam-Mikl\'os-Singhi (MMS) conjecture for some partial geometries. Specifically, we give a condition on partial geometries which implies that the MMS conjecture holds. Further, several specific partial geometries that are counter-examples to the conjecture are described.
Keywords
Cite
@article{arxiv.1606.06275,
title = {Manickam-Mikl\'os-Singhi Conjectures on Partial Geometries},
author = {Ferdinand Ihringer and Karen Meagher},
journal= {arXiv preprint arXiv:1606.06275},
year = {2017}
}
Comments
15 pages, accepted in DCC, corrected ordering of the Ms in MMS in title and abstract