Pregled bibliografske jedinice broj: 1207502
Divisible design Cayley graphs and digraphs
Divisible design Cayley graphs and digraphs // Book of Abstracts for Combinatorial Constructions Workshop (CCW)
Zagreb, 2022. str. 12-12 (pozvano predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 1207502 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Divisible design Cayley graphs and digraphs
Autori
Švob, Andrea ; Crnković, Dean ; Kharaghani, Hadi ;
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Book of Abstracts for Combinatorial Constructions Workshop (CCW)
/ - Zagreb, 2022, 12-12
Skup
Combinatorial Constructions Workshop
Mjesto i datum
Zagreb, Hrvatska, 27.06.2022. - 29.06.2022
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
divisible design graph ; Cayley graph ; Cayley digraph
Sažetak
Haemers, Kharaghani and Meulenberg have defined divisible design graphs as a generalization of (v, k, λ)- graphs. Divisible design digraphs, a directed graph version of divisible design graphs, were introduced by Crnković and Kharaghani. Let G be a group and S a subset of G not containing the identity element of the group, which will be denoted by e. The vertices of the Cayley digraph Cay(G, S) are the elements of the group G, and its arcs are all the couples (g, gs) with g ∈ G and s ∈ S. In this talk, we will present results on divisible design Cayley digraphs and give some constructions of such digraphs. Further, we will give some improvements on the study of divisible design Cayley graphs. Finally, we will introduce a variation of directed Deza graphs and give connections between combinatorial structures presented in this talk.
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)
HRZZ-IP-2018-01-6732 - Kombinatorički objekti i kodovi (COCo) (Crnković, Dean, HRZZ ) ( CroRIS)
NadSve-Sveučilište u Rijeci-uniri-prirod-18-51 - Kodovi, grupe i kombinatoričke strukture (Crnković, Dean, NadSve ) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku