Pregled bibliografske jedinice broj: 1209301
On the 2-Y-Homogeneous Condition of the Incidence Graphs of 2-Designs
On the 2-Y-Homogeneous Condition of the Incidence Graphs of 2-Designs // Graphs and combinatorics, 38 (2022), 119, 15 doi:10.1007/s00373-022-02528-5 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1209301 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the 2-Y-Homogeneous Condition of the Incidence Graphs of 2-Designs
Autori
Fernández, Blas ; Rukavina, Sanja
Izvornik
Graphs and combinatorics (0911-0119) 38
(2022);
119, 15
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Distance-semiregular graphs ; Distance-biregular graphs ; Incidence graphs ; 2-Design
Sažetak
In this paper we study the 2-Y-homogeneous condition of the incidence graphs of2-designs. We prove that quasi-symmetric 2-designs which can be obtained by the famous Cameron’s extension theorem, i.e., those which are quasi-symmetric 3-designs with intersection numbers 0 and y=lambda+1, are the only 2-designs which have 2-Y-homogeneous distance-biregular incidence graphs. Moreover, we prove that every 2-Y-homogeneous distance-biregular graph with eccentricity D=3 must be the incidence graph of such a design.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-6732 - Kombinatorički objekti i kodovi (COCo) (Crnković, Dean, HRZZ ) ( CroRIS)
NadSve-Sveučilište u Rijeci-uniri-prirod-18-45 - Dizajni, grafovi i linearni kodovi (Rukavina, Sanja, NadSve - UNIRI PROJEKTI 2018) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
Profili:
Sanja Rukavina
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts