An improved bound on the cardinality of the minimal pairwise balanced designs on 18 points with maximum block size 4

Ian T Roberts; Sue D'Arcy; Judith Ann Egan

An improved bound on the cardinality of the minimal pairwise balanced designs on 18 points with maximum block size 4

Ian T Roberts, Sue D'Arcy, Judith Ann Egan

School of Mathematics

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

Abstract

The cardinality of the minimal pairwise balanced designs on v elements with largest block size k is denoted by g (k) (v). It is known that 31 a?? g (4) (18) a?? 33. In this paper we show that g (4) (18) i?? = 31.

Original language	English
Pages (from-to)	203 - 221
Number of pages	19
Journal	Journal of Combinatorial Mathematics and Combinatorial Computing
Volume	56
Publication status	Published - 2006

Cite this

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title = "An improved bound on the cardinality of the minimal pairwise balanced designs on 18 points with maximum block size 4",

abstract = "The cardinality of the minimal pairwise balanced designs on v elements with largest block size k is denoted by g (k) (v). It is known that 31 a?? g (4) (18) a?? 33. In this paper we show that g (4) (18) i?? = 31.",

author = "Roberts, \{Ian T\} and Sue D'Arcy and Egan, \{Judith Ann\}",

year = "2006",

language = "English",

volume = "56",

pages = "203 -- 221",

journal = "Journal of Combinatorial Mathematics and Combinatorial Computing",

issn = "0835-3026",

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T1 - An improved bound on the cardinality of the minimal pairwise balanced designs on 18 points with maximum block size 4

AU - Roberts, Ian T

AU - D'Arcy, Sue

AU - Egan, Judith Ann

PY - 2006

Y1 - 2006

N2 - The cardinality of the minimal pairwise balanced designs on v elements with largest block size k is denoted by g (k) (v). It is known that 31 a?? g (4) (18) a?? 33. In this paper we show that g (4) (18) i?? = 31.

AB - The cardinality of the minimal pairwise balanced designs on v elements with largest block size k is denoted by g (k) (v). It is known that 31 a?? g (4) (18) a?? 33. In this paper we show that g (4) (18) i?? = 31.

M3 - Article

SN - 0835-3026

VL - 56

SP - 203

EP - 221

JO - Journal of Combinatorial Mathematics and Combinatorial Computing

JF - Journal of Combinatorial Mathematics and Combinatorial Computing

ER -