DISJOINT SETS IN PROJECTIVE PLANES OF SMALL ORDER
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ankara Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Disjoint set, maximal arc, unital
Kaynak
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
72
Sayı
3
