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.
Publié le : 1976-09-14
Classification:
Incomplete block design,
group divisible,
semiregular,
62K10
@article{1176343592,
author = {John, Peter W. M.},
title = {Inequalities for Semiregular Group Divisible Designs},
journal = {Ann. Statist.},
volume = {4},
number = {1},
year = {1976},
pages = { 956-959},
language = {en},
url = {http://dml.mathdoc.fr/item/1176343592}
}
John, Peter W. M. Inequalities for Semiregular Group Divisible Designs. Ann. Statist., Tome 4 (1976) no. 1, pp. 956-959. http://gdmltest.u-ga.fr/item/1176343592/