Pregled bibliografske jedinice broj: 151137
U(3, 3) as block designs and strongly regular graphs
U(3, 3) as block designs and strongly regular graphs // Treći hrvatski matematički kongres : knjiga sažetaka = Third Croatian Congress of Mathematics : abstracts
Split, 2004. str. 41-42 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 151137 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
U(3, 3) as block designs and strongly regular graphs
Autori
Mikulić, Vedrana ; Crnković, Dean ; Rukavina, Sanja
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Treći hrvatski matematički kongres : knjiga sažetaka = Third Croatian Congress of Mathematics : abstracts
/ - Split, 2004, 41-42
Skup
Hrvatski matematički kongres (3 ; 2004)
Mjesto i datum
Split, Hrvatska, 16.06.2004. - 18.06.2004
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
block design; strongly regular graph; automorphism group; symmetric design; unitary group
Sažetak
We present a construction of a symmetric (36, 15, 6) design and two symmetric (63, 31, 15) designs from the unitary group U(3, 3). These designs are defined as incidence structures on the elements of the conjugacy classes of the maximal subgroups. Incidence matrices Mi, i=1, 2, 3, of the constructed designs are symmetric matrices with 1 everywhere on the diagonal. Therefore, the matrices Mi-I, i=1, 2, 3, are adjacency matrices of strongly regular graphs. Furthermore, we describe a construction of a 2-(28, 12, 11), 2-(28, 4, 1) and 2-(36, 16, 12) design from U(3, 3). The unitary group U(3, 3) acts transitively on the constructed designs and strongly regular graphs.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
