More on exact bicoverings of 12 points

Grannell, M. J.; Griggs, T. S.; Maenhaut, B. M.; Quinn, K. A. S. and Stanton, R. G. (2003). More on exact bicoverings of 12 points. Ars Combinatoria, 69, pp. 197–213.

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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 $v=3,4,\dots,11$ . It was previously known that $14\leq g(2,2;12)\leq16$ . We prove that $g(2,2;12) \geq 15$ .

Item Type:	Journal Article
ISSN:	0381-7032
Academic Unit/Department:	Mathematics, Computing and Technology > Mathematics and Statistics
Item ID:	22777
Depositing User:	Mike Grannell
Date Deposited:	18 Aug 2010 13:19
Last Modified:	02 Dec 2010 21:02
URI:	http://oro.open.ac.uk/id/eprint/22777

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