Naslov
Orbit matrices and strongly regular graphs

Autori
Maksimović, Marija ; Crnković, Dean

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
44th Australasian Combinatorics Conference

Mjesto i datum
Online, 12.12.2022. - 15.12.2022

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
orbit matrices ; strongly regular graphs ; automorphism group

Sažetak
We will talk about the construction of orbit matrices of strongly regular graphs admitting an automorphism group of composite order. This method is a generalisation of the work of C. Lam and M. Behbahani, who in 2011 presented an algorithm for constructing orbit matrices of strongly regular graphs with an assumed prime order automorphism group. From orbit matrices we will construct codes and strongly regular graphs. We give a classification of strongly regular graphs with parameters (49, 18, 7, 6) having 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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA