Explores 5-helix systems in hypergraphs, suggesting important design frameworks in combinatorial theory.
A 5-helix S⁽³⁾ (1,5) of centre {c} is a 3-uniform hypergraph, with 5 hyperedges, all having in common exactly the centre {c} of degree 5, and the remaining vertices of degree 1. In this paper we determine the spectrum of S⁽³⁾ (1,5)-designs of index 2 with pairwise distinct blocks.
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Causa et al. (2025) studied this question.
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