Construction methods reveal specific Steiner triple systems in hypergraphs, highlighting distinct patterns.
A Steiner Triple System (STS) of order v is a hypergraph Σ=(X,B) that is uniform of rank 3 and has order v, such that every 2-subset of X has degree 1. In this paper, we present some constructions of STS(v) of type v⟶v+20 and v⟶v+40, examining all possible cases.
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Fragapane et al. (2026) studied this question.
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