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.
Construction of 5-helix systems of index 2
Causa A.;Gionfriddo M.;Guardo E.
2025-01-01
Abstract
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.File in questo prodotto:
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