On exact bicoverings of 12 points

Allston, J. L.; Grannell, M. J.; Griggs, T. S.; Quinn, K. A. S. and Stanton, R. G. (2000). On exact bicoverings of 12 points. Ars Combinatoria, 55, pp. 147–159.

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Abstract

The minimum number of incomplete blocks required to cover, exactly $\lambda$ times, all $t$ -element subsets from a set $V$ of cardinality $v$ $(v>t)$ is denoted by $g(\lambda,t;v)$ . The value of $g(2,2;v)$ is known for $v=3,4,\ldots,11$ . It was previously known that $13\le g(2,2;12)\le 16$ . We prove that $g(2,2;12)\ge 14$ .

Item Type:	Journal Article
ISSN:	0381-7032
Academic Unit/Department:	Mathematics, Computing and Technology > Mathematics and Statistics
Item ID:	22796
Depositing User:	Mike Grannell
Date Deposited:	18 Aug 2010 13:48
Last Modified:	02 Dec 2010 21:02
URI:	http://oro.open.ac.uk/id/eprint/22796

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