Cyclically indecomposable triple systems that are decomposable

Martin Grüttmüller; Rolf S. Rees; Nabil Shalaby

doi:10.18453/rosdok_id00005896

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Martin Grüttmüller Rolf S. Rees Nabil Shalaby

Cyclically indecomposable triple systems that are decomposable

University of Rostock, Institute of Mathematics, 2005

https://doi.org/10.18453/rosdok_id00005896

Abstract: In this paper we investigate exhaustively the cyclically indecomposable triple systems TSλ(v) for λ = 2, v ≤ 33 and λ = 3, v ≤ 21 and we identify the decomposable ones. We also construct, by using Skolem-type and Rosa-type sequences, cyclically indecomposable two-fold triple systems TS2(v) for all admissible orders. Further, we investigate exhaustively all cyclic TS2(v) that are constructed by Skolem-type and Rosa-type sequences up to v ≤ 45 for indecomposability.

Workingpaper Freier Zugang

Titel:

Cyclically indecomposable triple systems that are decomposable

Schriftenreihe:

Preprints aus dem Institut für Mathematik, 05/4

Beteiligte Personen:

Martin Grüttmüller[VerfasserIn]
	122522559
Rolf S. Rees[VerfasserIn]
	122169727
Nabil Shalaby[VerfasserIn]

Zusammenfassung:

In this paper we investigate exhaustively the cyclically indecomposable triple systems TSλ(v) for λ = 2, v ≤ 33 and λ = 3, v ≤ 21 and we identify the decomposable ones. We also construct, by using Skolem-type and Rosa-type sequences, cyclically indecomposable two-fold triple systems TS2(v) for all admissible orders. Further, we investigate exhaustively all cyclic TS2(v) that are constructed by Skolem-type and Rosa-type sequences up to v ≤ 45 for indecomposability. [Englisch]

Dokumenttyp:

Workingpaper

Einrichtung:

Mathematisch-Naturwissenschaftliche Fakultät

Sprache:

Englisch

Sachgruppe der DNB:

510 Mathematik

Umfang:

1 Online-Ressource (21 Seiten)

Veröffentlichung /
Entstehung:

Rostock: University of Rostock, Institute of Mathematics