Pairwise balanced designs whose block size set contains seven and thirteen

M. Greig; Martin Grüttmüller; Sven Hartmann

doi:10.18453/rosdok_id00005894

zum übergeordneten Dokument

M. Greig Martin Grüttmüller Sven Hartmann

Pairwise balanced designs whose block size set contains seven and thirteen

University of Rostock, Institute of Mathematics, 2005

https://doi.org/10.18453/rosdok_id00005894

Abstract: In this paper, we investigate the PBD-closure of sets K with {7, 13} ⊆ K ⊆ {7, 13, 19, 25, 31, 37, 43}. In particular, we show that v ≡ 1 mod 6, v ≥ 98689 implies v ∈ B({7,13}). As a preliminary result, many new 13-GDDs of type 13^q and resolvable BIBD with block size 6 or 12 are also constructed. Furthermore, we show some elements to be not essential in a Wilson bases for the PBD-closed set {v : v ≡ 1 mod 6, v ≥ 7}.

Workingpaper Freier Zugang

Titel:

Pairwise balanced designs whose block size set contains seven and thirteen

Schriftenreihe:

Preprints aus dem Institut für Mathematik, 05/6

Beteiligte Personen:

M. Greig[VerfasserIn]
Martin Grüttmüller[VerfasserIn]
	122522559
Sven Hartmann[VerfasserIn]
	118124978

Zusammenfassung:

In this paper, we investigate the PBD-closure of sets K with {7, 13} ⊆ K ⊆ {7, 13, 19, 25, 31, 37, 43}. In particular, we show that v ≡ 1 mod 6, v ≥ 98689 implies v ∈ B({7,13}). As a preliminary result, many new 13-GDDs of type 13^q and resolvable BIBD with block size 6 or 12 are also constructed. Furthermore, we show some elements to be not essential in a Wilson bases for the PBD-closed set {v : v ≡ 1 mod 6, v ≥ 7}. [Englisch]

Dokumenttyp:

Workingpaper

Einrichtung:

Mathematisch-Naturwissenschaftliche Fakultät

Sprache:

Englisch

Sachgruppe der DNB:

510 Mathematik

Umfang:

1 Online-Ressource (37 Seiten)

Veröffentlichung /
Entstehung:

Rostock: University of Rostock, Institute of Mathematics