Construction of <b><i>S</i></b>⁽³⁾ (<b>2</b>, <b>3</b>)-Designs of Any Index

Abstract

Let H(3) be a uniform hypergraph of rank 3. A hyperstar S(3)(2,3) of centre C={x,y} is a 3-uniform hypergraph with three hyperedges, all having the centre C={x,y} in common, with x and y of degree 3 and the remaining vertices of degree 1. In this paper, we determine the spectrum of S(3)(2,3)-designs for any index λ.

Keywords

• G-designs
• uniform hypergraphs