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Pregled bibliografske jedinice broj: 537910

Some Block Designs Constructed from Resolvable Designs


Crnković, Dean
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:

Avatar Url Dean Crnković (autor)

Citiraj ovu publikaciju:

Crnković, Dean
Some Block Designs Constructed from Resolvable Designs // Mathematica Macedonica, 7 (2009), 39-44 (podatak o recenziji nije dostupan, članak, znanstveni)
Crnković, D. (2009) Some Block Designs Constructed from Resolvable Designs. Mathematica Macedonica, 7, 39-44.
@article{article, author = {Crnkovi\'{c}, Dean}, year = {2009}, pages = {39-44}, keywords = {block design, resolvable design}, journal = {Mathematica Macedonica}, volume = {7}, issn = {1409-9721}, title = {Some Block Designs Constructed from Resolvable Designs}, keyword = {block design, resolvable design} }
@article{article, author = {Crnkovi\'{c}, Dean}, year = {2009}, pages = {39-44}, keywords = {block design, resolvable design}, journal = {Mathematica Macedonica}, volume = {7}, issn = {1409-9721}, title = {Some Block Designs Constructed from Resolvable Designs}, keyword = {block design, resolvable design} }

Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts





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