Pregled bibliografske jedinice broj: 537910
Some Block Designs Constructed from Resolvable Designs
Some Block Designs Constructed from Resolvable Designs // Mathematica Macedonica, 7 (2009), 39-44 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 537910 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Some Block Designs Constructed from Resolvable Designs
Autori
Crnković, Dean
Izvornik
Mathematica Macedonica (1409-9721) 7
(2009);
39-44
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
block design; resolvable design
Sažetak
Let D be a resolvable 2-(v, k, l) design, and D' be a 2-(v', k', l') design, such that v' = v/k. Further, let r and r' be replication numbers of a point in D and D', respectively. Shrikhande and Raghavarao proved that then there exists a 2-(v'', k'', l'') design D'', such that v'' = v, k'' = kk'and l'' = r'l + (r-l)l'. If D' is resolvable, then D'' is also resolvable. Applying this result, we construct block designs from some series of designs. Further, we discuss a construction of resolvable 3-designs.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
319-0000000-3037 - Blok dizajni, jako regularni grafovi i srodne kombinatoričke strukture (Crnković, Dean, MZOS ) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
Profili:
Dean Crnković
(autor)
Citiraj ovu publikaciju:
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts