Pregled bibliografske jedinice broj: 906436
New strongly regular graphs from orthogonal groups $O^+(6, 2)$ and $O^-(6, 2)$
New strongly regular graphs from orthogonal groups $O^+(6, 2)$ and $O^-(6, 2)$ // Hypergraphs, Graphs and Designs HyGraDe 2017
Sant’Alessio Siculo, Italy, 2017, 2017. str. 55-55 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 906436 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
New strongly regular graphs from orthogonal groups $O^+(6, 2)$ and $O^-(6, 2)$
Autori
Švob, Andrea ; Crnković, Dean ; Rukavina, Sanja
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Hypergraphs, Graphs and Designs HyGraDe 2017
/ - Sant’Alessio Siculo, Italy, 2017, 2017, 55-55
Skup
Hypergraphs, Graphs and Designs
Mjesto i datum
Sant'Alessio Siculo, Italija, 21.06.2017. - 24.06.2017
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
strongly regular graphs ; orthogonal groups
Sažetak
The main subject of the talk is construction of strongly regular graphs from groups. In this talk, a method for constructing transitive regular graphs from finite groups will be explained. Using this method, we constructed all strongly regular graphs, with at most 600 vertices, admitting a transitive action of the orthogonal group $O^+(6, 2)$ or $O^-(6, 2)$. Consequently, we proved the existence of strongly regular graphs with parameters (216, 40, 4, 8) and (540, 187, 58, 68). In this talk the details about the obtained results will be given.
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
