Inequalities for Semiregular Group Divisible Designs
The Annals of Statistics · 1976 · Volume 4 · Issue 5
Abstract
Let $s_{ju}$ be the number of varieties in common to the $j$th and $u$th blocks of a symmetric semiregular group divisible design. Connor (1952) and Saraf (1961) have given inequalities for $s_{ju}$. Both these inequalities lead to the same stronger inequality $\lambda_1 \leqq s_{ju} \leqq 2\lambda_2 - 1$. Both the upper and lower bounds are attained by a series of designs derived from lattices.
Keywords
62K10, group divisible, incomplete block design, semiregular
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