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Matematicheskie Zametki, 1974, Volume 16, Issue 1, Pages 173–184 (Mi mzm7448)  

This article is cited in 1 scientific paper (total in 1 paper)

Some imbedding theorems for block designs balanced with respect to pairs

B. T. Rumov

Steklov Mathematical Institute, Academy of Sciences of the USSR
Full-text PDF (927 kB) Citations (1)
Abstract: We prove imbedding theorems for block designs balanced with respect to pairs, and with the aid of these theorems we establish the existence of $(v,k,\lambda)$-resolvable BIB block designs with parameters $v,k,\lambda$ such that $\lambda=k-1$ [and also such that $\lambda=(k-l)/2$ if $k$ is odd], $k\mid(p-1)$ for each prime divisor $p$ of the number $v/k$; we also establish an imbedding theorem for Kirkman triple systems.
Received: 01.12.1973
English version:
Mathematical Notes, 1974, Volume 16, Issue 1, Pages 686–692
DOI: https://doi.org/10.1007/BF01098827
Bibliographic databases:
UDC: 519.9
Language: Russian
Citation: B. T. Rumov, “Some imbedding theorems for block designs balanced with respect to pairs”, Mat. Zametki, 16:1 (1974), 173–184; Math. Notes, 16:1 (1974), 686–692
Citation in format AMSBIB
\Bibitem{Rum74}
\by B.~T.~Rumov
\paper Some imbedding theorems for block designs balanced with respect to pairs
\jour Mat. Zametki
\yr 1974
\vol 16
\issue 1
\pages 173--184
\mathnet{http://mi.mathnet.ru/mzm7448}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=376384}
\zmath{https://zbmath.org/?q=an:0327.05017}
\transl
\jour Math. Notes
\yr 1974
\vol 16
\issue 1
\pages 686--692
\crossref{https://doi.org/10.1007/BF01098827}
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  • https://www.mathnet.ru/eng/mzm/v16/i1/p173
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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