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The packing of pairs by quadruples

✍ Scribed by Ahmed M. Assaf

Publisher: Elsevier Science
Year: 1991
Tongue: English
Weight: 601 KB
Volume: 90
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(91)90146-s

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✦ Synopsis

Assaf, A.M., The packing of pairs by quadruples, Discrete Mathematics 90 (1991) 221-231 Let X be a finite set of size v, further let 1 be a positive integer and let ~(4, n;v) denote the maximum number of quadruples such that each pair of elements of X is contained in at most A of them. The value of ~(4, 1;~) has been determined by Brouwer (1979) for all vS4. The value of ~(4, &v) has been determined

by Billington, Stanton and Stinson (1984) for all v -0 (mod 3) and A > 1. In this paper we complete the determination of ~(4, I.;v) for all v 2 4 and A>l.

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