DISJOINT SETS IN PROJECTIVE PLANES OF SMALL ORDER

dc.contributor.authorGezek, Mustafa
dc.date.accessioned2024-10-29T17:50:36Z
dc.date.available2024-10-29T17:50:36Z
dc.date.issued2023
dc.departmentTekirdağ Namık Kemal Üniversitesi
dc.description.abstractIn this paper, results of a computer search for disjoint sets associated with maximal arcs and unitals in projective planes of order 16, and disjoint sets associated with unitals in projective planes of orders 9 and 25 are reported. It is shown that the number of pairs of disjoint unitals in planes of order 9 is exactly four, and new pairs and triples of disjoint degree 4 maximal arcs are shown to exist in some of the planes of order 16. New bounds on the number of 104-sets of type (4, 8) and 156-sets of type (8, 12) are achieved. A combinatorial method for finding new maximal arcs, new unitals, and new v-sets of type (m, n) is introduced. All disjoint sets found in this study are explicitly listed.
dc.identifier.doi10.31801/cfsuasmas.1194816
dc.identifier.endpage814
dc.identifier.issn1303-5991
dc.identifier.issn2618-6470
dc.identifier.issue3en_US
dc.identifier.startpage803
dc.identifier.trdizinid1199620
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.1194816
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1199620
dc.identifier.urihttps://hdl.handle.net/20.500.11776/13077
dc.identifier.volume72
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.relation.ispartofCommunications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectDisjoint set
dc.subjectmaximal arc
dc.subjectunital
dc.titleDISJOINT SETS IN PROJECTIVE PLANES OF SMALL ORDER
dc.typeArticle

Dosyalar