DISJOINT SETS IN PROJECTIVE PLANES OF SMALL ORDER
| dc.authorid | Gezek, Mustafa/0000-0001-5488-9341 | |
| dc.contributor.author | Gezek, Mustafa | |
| dc.date.accessioned | 2024-10-29T17:59:09Z | |
| dc.date.available | 2024-10-29T17:59:09Z | |
| dc.date.issued | 2023 | |
| dc.department | Tekirdağ Namık Kemal Üniversitesi | |
| dc.description.abstract | In this paper, results of a computer search for disjoint sets as-sociated 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.doi | 10.31801/cfsuasmas.1194816 | |
| dc.identifier.endpage | 814 | |
| dc.identifier.issn | 1303-5991 | |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.startpage | 803 | |
| dc.identifier.trdizinid | #BAŞV! | |
| dc.identifier.uri | https://doi.org/10.31801/cfsuasmas.1194816 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/tr/yayin/detay/1199620 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.11776/14644 | |
| dc.identifier.volume | 72 | |
| dc.identifier.wos | WOS:001108742100012 | |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | TR-Dizin | |
| dc.language.iso | en | |
| dc.publisher | Ankara Univ, Fac Sci | |
| dc.relation.ispartof | Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Disjoint set | |
| dc.subject | maximal arc | |
| dc.subject | unital | |
| dc.title | DISJOINT SETS IN PROJECTIVE PLANES OF SMALL ORDER | |
| dc.title.alternative | DISJOINT SETS IN PROJECTIVE PLANES OF SMALL ORDER | |
| dc.type | Article |
