| Antonio Causa†, Leonardo Fragapane‡, Mario Gionfriddo§, Elena Guardo¶
Abstract: A Steiner triple system (STS) of order v is a 3-uniform hypergraph with v vertices in which every 2-subset of vertices has degree 1. A Kirkman triple system (KTS) is a resolvable Steiner triple system, that is, a partition of the blocks of the triple system into classes which are themselves partitions of the set of vertices into disjoint blocks. In this paper we give a construction of KTS of order v = 3h much simpler and less technical than previously known constructions. Keywords: Kirkman triple systems, resolvable designs. MSC: 05B07, 05B10. DOI 10.56082/annalsarscimath.2026.2.225 †causa@dmi.unict.it, Dipartimento di Matematica e Informatica, University of Catania, Viale A. Doria, 6- 95100- Catania, Italy |
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application,
ISSN ONLINE 2066 – 6594
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