Pregled bibliografske jedinice broj: 971954
Block designs and strongly regular graphs admitting a transitive action of the Mathieu group M11
Block designs and strongly regular graphs admitting a transitive action of the Mathieu group M11 // Australasian journal of combinatorics, 73 (2019), Part 1; 149-161 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 971954 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Block designs and strongly regular graphs
admitting a transitive action of the Mathieu
group M11
Autori
Crnković, Dean ; Mikulić Crnković, Vedrana ; Švob, Andrea
Izvornik
Australasian journal of combinatorics (1034-4942) 73
(2019), Part 1;
149-161
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
t-design ; strongly regular graph ; Mathieu group ; transitive group
Sažetak
In this paper we construct transitive t-designs, for t >= 2, and strongly regular graphs from the Mathieu group M-11. We classify transitive t-designs with 11, 12 and 22 points admitting a transitive action of Mathieu group M-11. The most important result of this classification is proving the existence of a 3-design with parameters 3-(22, 7, 18). Additionally, we prove the existence of 2-designs with certain parameters having 55 and 66 points. Furthermore, we classify strongly regular graphs on at most 450 vertices admitting a transitive action of the Mathieu group M-11.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-1637 - Kodovi i s njima povezane kombinatoričke strukture (CoCoS) (Crnković, Dean, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
- Scopus
