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On the covering of pairs by quadruples

✍ Scribed by A.M Assaf

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
732 KB
Volume
61
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES

The packing of pairs by quadruples
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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

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## Abstract Let C(3,4,v) be the minimum number of four‐element subsets (called __blocks__ or __quadruples__) of a __v__‐element set __X__, such that each three‐element subset of __X__ is contained in at least one block. Let $L(3,4,v)=\lceil {v\over 4}\lceil{v-1\over 3}\lceil{v-2\over 2}\rceil\rceil

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✍ Xiande Zhang; Gennian Ge πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 160 KB

## Abstract Determination of maximal resolvable packing number and minimal resolvable covering number is a fundamental problem in designs theory. In this article, we investigate the existence of maximal resolvable packings of triples by quadruples of order __v__ (MRPQS(__v__)) and minimal resolvabl