Pregled bibliografske jedinice broj: 1183400
Flag-transitive and point-imprimitive symmetric designs with λ≤10
Flag-transitive and point-imprimitive symmetric designs with λ≤10 // Journal of combinatorial theory. Series A, 189 (2022), 105620, 21 doi:10.1016/j.jcta.2022.105620 (međunarodna recenzija, članak, znanstveni)
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Naslov
Flag-transitive and point-imprimitive symmetric
designs with λ≤10
Autori
Mandić, Joško ; Šubašić, Aljoša
Izvornik
Journal of combinatorial theory. Series A (0097-3165) 189
(2022);
105620, 21
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Symmetric designs ; Point-imprimitive designs ; Flag-transitive designs ; Automorphism groups
Sažetak
In a paper published in 2005, Praeger and Zhou improved the upper bound on the number of points of a flag-transitive, point-imprimitive, symmetric design in terms of the number of blocks containing two points. Here we present an improvement of their result, devise a list of feasible parameter sequences for which two points are contained in at most ten blocks, and also develop new methods for the elimination of all but two such sequences. We used those methods to list all designs with given properties, with the exclusion of designs with said two sets of parameters for which we give limitations for their group of automorphisms.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Split
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
