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Pregled bibliografske jedinice broj: 971954

Block designs and strongly regular graphs admitting a transitive action of the Mathieu group M11


Crnković, Dean; Mikulić Crnković, Vedrana; Švob, Andrea
Block designs and strongly regular graphs admitting a transitive action of the Mathieu group M11 // Australasian journal of combinatorics, 73 (2019), 1; 149-161 (međunarodna recenzija, članak, znanstveni)


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), 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 $t \ge 2$, and strongly regular graphs from the Mathieu group M11. We classify transitive $t$-designs with 11, 12 and 22 points admitting a transitive action of Mathieu group M11. The most important result of this classification is proving the existence of a 3-design with parameters $3$-$(22, 7, 18)$. Additionally, we proved the existence of $2$-designs with certain parameters having 55 and 66 points. Furthermore, we classified strongly regular graphs on at most 450 vertices admitting a transitive action of the Mathieu group M11.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
HRZZ-IP-2013-11-1637 - Kodovi i s njima povezane kombinatoričke strukture (Dean Crnković, )

Ustanove
Sveučilište u Rijeci - Odjel za matematiku

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Emerging Sources Citation Index (ESCI)
  • Scopus