Pairwise balanced designs with block sizes 8, 9, and 10

Charles J. Colbourn; Alan C.H. Ling

doi:10.1006/jcta.1997.2742

Pairwise balanced designs with block sizes 8, 9, and 10

Charles J. Colbourn, Alan C.H. Ling

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

This paper deals with existence results for pairwise balanced designs with block sizes 8, 9, and 10. Novel constructions using four level thwarts and Denniston arcs are developed.

Original language	English (US)
Pages (from-to)	228-245
Number of pages	18
Journal	Journal of Combinatorial Theory. Series A
Volume	77
Issue number	2
DOIs	https://doi.org/10.1006/jcta.1997.2742
State	Published - Feb 1997
Externally published	Yes

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1006/jcta.1997.2742

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title = "Pairwise balanced designs with block sizes 8, 9, and 10",

abstract = "This paper deals with existence results for pairwise balanced designs with block sizes 8, 9, and 10. Novel constructions using four level thwarts and Denniston arcs are developed.",

author = "Colbourn, {Charles J.} and Ling, {Alan C.H.}",

note = "Funding Information: Special thanks to Malcolm Greig for pointing out the solution for 13 small cases, and for improving the presentation of Theorem 3.2. Thanks also to Steve Furino, Ron Mullin, and Paul Schellenberg for helpful comments. Research of the second author is supported by an NSERC Postgraduate Award and that of the first author by NSERC Grant OGP000579.",

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Pairwise balanced designs with block sizes 8, 9, and 10

Abstract

ASJC Scopus subject areas

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