Year: 2025
Type: article
Abstract: In this paper we give a short survey of Voloshin Triple Systems, which are Steiner Triple Systems with a vertex colouring which colour the blocks using exactly two colours. We also provide two conjectures about VTSs obtained by the construction v⟶2v+1, starting from v=3. Finally, we point out some open problems about Steiner Systems S(2,4,v) with a similar vertex colouring, which could provide similar conjectures.
Source: Mathematics
DOI: 10.3390/math14010042
Author: Mario Gionfriddo
Institution: University of Catania
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,137
OpenAlex ID: W7116674059
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