Naslov
Strongly regular graphs with parameters (81,30,9,12) and a new partial geometry

Autori
Švob, Andrea ; Crnković, Dean ; Tonchev, Vladimir

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
The 3rd Workshop on “Algebraic Graph Theory and its Applications” Book of Abstracts / Konstantinova, Elena ; Ryabov, Grigory - Novosibirsk : Mathematical Center in Akademgorodok, Novosibirsk, Russia, 2020

Skup
3th Workshop on Algebraic Graph Theory and its Applications

Mjesto i datum
Novosibirsk, Ruska Federacija; Akademgorodok, Ruska Federacija, 02.11.2020. - 08.11.2020

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
partial geometry ; strongly regular graphs

Sažetak
In this talk we will explain the method for constructing strongly regular graphs. Using the method, twelve new strongly regular graphs with parameters (81, 30, 9, 12) are found as graphs invariant under certain subgroups of the automorphism groups of the two previously known graphs that arise from 2-weight codes. One of these new graphs is geometric and yields a partial geometry with parameters pg(5, 5, 2) that is not isomorphic to the partial geometry discovered by J. H. van Lint and A. Schrijver [2] in 1981. The talk is based on the recent work given in [1]. References [1] D. Crnković, A. Švob, V. D. Tonchev, Strongly regular graphs with parameters (81, 30, 9, 12) and a new partial geometry, ArXiv preprint, https://arxiv.org/pdf/2009.09544 [2] J. H. van Lint, A. Schrijver, Construction of strongly regular graphs, two-weight codes and partial geometries by finite fields, Combinatorica 1 (1981), 63–73.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA