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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
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
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
Linking options:
https://www.mathnet.ru/eng/mzm7448 https://www.mathnet.ru/eng/mzm/v16/i1/p173
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