Pregled bibliografske jedinice broj: 976323
On some new resolvable 1-rotational (45, 5, 2)- BIBDs
On some new resolvable 1-rotational (45, 5, 2)- BIBDs // Bulletin of the Institute of Combinatorics and its Applications, 84 (2018), 53-64 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 976323 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On some new resolvable 1-rotational (45, 5, 2)- BIBDs
Autori
Dumičić Danilović, Doris
Izvornik
Bulletin of the Institute of Combinatorics and its Applications (1182-1278) 84
(2018);
53-64
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
1-rotational BIBD ; resolvable BIBD ; automorphism group ; orbit matrix
Sažetak
In this paper we classify 1-rotational (45, 5, 2)-BIBDs having an automorphism group isomorphic to Z44 acting on the set of blocks with the orbit lenghts distribution (11, 11, 44, 44, 44, 44). New (45, 5, 2)-BIBDs are constructed. Among the constructed designs there are exactly 22 resolvable (45, 5, 2)- BIBDs. Until now, only one resolvable (45, 5, 2)-BIBD was known. The smallest parameter set for which the existence question of a resolvable BIBD is still open is (45, 5, 1).
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-1637 - Kodovi i s njima povezane kombinatoričke strukture (CoCoS) (Crnković, Dean, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Sveučilište u Rijeci
Profili:
Doris Dumičić Danilović
(autor)
