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 Egan; Martin Grüttmüller

doi:10.18453/rosdok_id00005893

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Ian T. Roberts Sue D’Arcy Judith Egan Martin Grüttmüller

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

University of Rostock, Institute of Mathematics, 2005

https://doi.org/10.18453/rosdok_id00005893

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 <= g(4)(18) <= 33. In this paper we show that g(4)(18) =/ 31.

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Titel:

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

Schriftenreihe:

Preprints aus dem Institut für Mathematik, 05/7

Beteiligte Personen:

Ian T. Roberts[VerfasserIn]
Sue D’Arcy[VerfasserIn]
Judith Egan[VerfasserIn]
Martin Grüttmüller[VerfasserIn]
	122522559

Zusammenfassung:

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 <= g(4)(18) <= 33. In this paper we show that g(4)(18) =/ 31. [Englisch]

Dokumenttyp:

Workingpaper

Einrichtung:

Mathematisch-Naturwissenschaftliche Fakultät

Sprache:

Englisch

Sachgruppe der DNB:

510 Mathematik

Umfang:

1 Online-Ressource (17 Seiten)

Veröffentlichung /
Entstehung:

Rostock: University of Rostock, Institute of Mathematics