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Pairwise Balanced Designs with Consecutive Block Sizes
Authors:Alan C. H. Ling  Xiaojun Zhu  Charles J. Colbourn  Ronald C. Mullin
Affiliation:(1) Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1;(2) Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1
Abstract:This paper deals with existence for pairwise balanced designs with block sizes 5,6 and 7, block sizes 6,7 and 8 and block sizes 7,8 and 9 and some consequences of these results.
Keywords:Combinatorial designs  PBD-closure  finite linear spaces
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