Pregled bibliografske jedinice broj: 1138564
Distance-regular graphs obtained from the Mathieu groups and new block designs
Distance-regular graphs obtained from the Mathieu groups and new block designs // 28th British Combinatorial Conference (BCC 2021)
Durham, Ujedinjeno Kraljevstvo, 2021. str. 85-85 (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Distance-regular graphs obtained from the Mathieu groups and new block designs
Autori
Švob, Andrea ; Crnković, Dean ; Mostarac, Nina
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
28th British Combinatorial Conference (BCC 2021)
/ - , 2021, 85-85
Skup
28th British Combinatorial Conference (BCC 2021)
Mjesto i datum
Durham, Ujedinjeno Kraljevstvo, 05.07.2021. - 09.07.2021
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
distance-regular graph ; Mathieu group ; block design
Sažetak
In this talk we will present distance-regular graphs admitting a transitive action of the Mathieu groups. We also study codes spanned by the adjacency matrices of the constructed DRGs. From the code spanned by the adjacency matrix of the strongly regular graph with parameters (176, 70, 18, 34) we obtain new block designs having the full automorphism groups isomorphic to the Higman-Sims finite simple group.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-6732 - Kombinatorički objekti i kodovi (COCo) (Crnković, Dean, HRZZ ) ( CroRIS)
HRZZ-UIP-2020-02-5713 - Galoisove geometrije i koherentne konfiguracije (GalGeKo) (Švob, Andrea, HRZZ - 2020-02) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
