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Manickam-Mikl\'os-Singhi Conjectures on Partial Geometries
- Publication Year :
- 2016
-
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.<br />Comment: 15 pages, accepted in DCC, corrected ordering of the Ms in MMS in title and abstract
- Subjects :
- Mathematics - Combinatorics
05B25, 51E20, 05E30
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1606.06275
- Document Type :
- Working Paper