Pregled bibliografske jedinice broj: 1167967
Strongly regular graphs on 81 vertices and a new partial geometry
Strongly regular graphs on 81 vertices and a new partial geometry // SAMS Congress, Book of Abstracts
Bloemfontein, Južnoafrička Republika, 2021. str. 81-81 (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Strongly regular graphs on 81 vertices and a new partial geometry
Autori
Švob, Andrea ; Crnković, Dean ; Tonchev, Vladimir
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
SAMS Congress, Book of Abstracts
/ - , 2021, 81-81
Skup
64th Annual Congress of the South African Mathematical Society
Mjesto i datum
Bloemfontein, Južnoafrička Republika, 29.11.2021. - 01.12.2021
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
strongly regular graph ; partial geometry
Sažetak
In this talk we will explain a method for constructing strongly regular graphs from groups. 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 in 1981.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-UIP-2020-02-5713 - Galoisove geometrije i koherentne konfiguracije (GalGeKo) (Švob, Andrea, HRZZ - 2020-02) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
