Pregled bibliografske jedinice broj: 1229165
On some constructions of strongly regular graphs
On some constructions of strongly regular graphs // 4th Croatian Combinatorial Days
Zagreb, Hrvatska, 2022. str. - (predavanje, međunarodna recenzija, kratko priopćenje, znanstveni)
CROSBI ID: 1229165 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On some constructions of strongly regular graphs
Autori
Maksimović, Marija ; Crnković, Dean
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, kratko priopćenje, znanstveni
Skup
4th Croatian Combinatorial Days
Mjesto i datum
Zagreb, Hrvatska, 22. – 23.09. 2022
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
strongly regular graph, orbit matrices
Sažetak
In this talk we give a classication of strongly regular graphs with parameters (49, 18, 7, 6) that have an automorphism of order six, and talk about the nonexistence of strongly regular graphs with parameters (99, 14, 1, 2) that have a certain automorphism group. For this construction, we used a method to construct strongly regular graphs from orbit matrices admitting an automorphism group of composite order. This method is a generalisation of the work of C. Lam and M. Behbahani, who in 2011 introduced an algorithm for constructing orbit matrices of strongly regular graphs with an assumed prime order automorphism group.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-6732 - Kombinatorički objekti i kodovi (COCo) (Crnković, Dean, HRZZ ) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
