Pregled bibliografske jedinice broj: 903270
New 3-designs and 2-designs having U(3, 3) as an automorphism group
New 3-designs and 2-designs having U(3, 3) as an automorphism group // Discrete mathematics, 340 (2017), 10; 2507-2515 doi:10.1016/j.disc.2017.06.011 (međunarodna recenzija, članak, znanstveni)
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Naslov
New 3-designs and 2-designs having U(3, 3) as an automorphism group
Autori
Crnković, Dean ; Mikulić Crnković, Vedrana ; Švob, Andrea
Izvornik
Discrete mathematics (0012-365X) 340
(2017), 10;
2507-2515
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Block design ; 3-design ; Strongly regular graph ; Unitary group ; Transitive group
Sažetak
In this paper we classify 2-designs and 3- designs with 28 or 36 points admitting a transitive action of the unitary group U(3, 3) on points and blocks. We also construct 2- designs and 3-designs with 56 or 63 points and strongly regular graphs on 36, 63 or 126 vertices having U(3, 3) as a transitive automorphism group. Further, we show that this completes the classification of 3-designs admitting a transitive action of the group U(3, 3), in terms of parameters. A number of the 3- designs and 2-designs obtained in this paper have not been known before up to our best knowledge.
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)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
