Construction of 3-helix systems of any index
Abstract
Let H(3) be a uniform of rank 3 hypergraph. A 3-helix S(3)(1,3) of \emph{centre} {c} is a 3-uniform hypergraph, with 3 hyperedges, all having in common exactly the centre {c}, with c of degree 3 and the remaining vertices of degree 1. In this paper we determine the spectrum of all S(3)(1,3)-designs, for every index λ.
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Copyright (c) 2024 A. Causa, M. Gionfriddo, E.M. Guardo
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