Some Constructions of Steiner Triple Systems of Type v⟶2v + 1 + 6k

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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Journal
Mathematics
Published
2026-03-02
DOI
https://doi.org/10.3390/math14050850
Primary Topic
graph theory and CDMA systems
Type
article
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article

Some Constructions of Steiner Triple Systems of Type v⟶2v + 1 + 6k

Mario Gionfriddo, L. Fragapane
Mathematics
graph theory and CDMA systems
article

Some Constructions of Steiner Triple Systems of Type v⟶2v + 1 + 6k

Mario Gionfriddo, L. Fragapane
article en

Abstract

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.

MathematicsVol. 14(5)
University of Catania (IT)
Openalex Percentile: Top 39%
graph theory and CDMA systems
DOIOpen Access PDFOpenAlex
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Some Constructions of Steiner Triple Systems of Type v⟶2v + 1 + 6k — Mario Gionfriddo, L. Fragapane · Mathematics (2026) | TGRS Research Map | TGRS