On maximum packings of λ-fold complete 3-uniform hypergraphs with triple-hyperstars of size 4

Amber Armstrong (St. Paul Academy and Summit School, St. Paul, MN)
Ryan C. Bunge (Illinois State University, Normal, IL 61790-4520)
William Duncan (Illinois State University, Normal, IL 61790-4520)
Saad I. El-Zanati (Illinois State University Normal, IL 61790-4520, USA)
Kristin Koe (Illinois State University, Normal, IL 61790-4520)
Rachel Stutzman (Greenville University, Greenville, IL)

Electronic Journal of Graph Theory and Applications (EJGTA)
Vol 9, No 2 (2021): Electronic Journal of Graph Theory and Applications

A symmetric triple-hyperstar is a connected, 3-uniform hypergraph where, for some edge {a, b, c}, vertices a, b, and c all have degree k > 1 and all other edges contain exactly 2 vertices of degree 1. Let H denote the symmetric triple-hyperstar with 4 edges and, for positive integers λ and v, let λKv(3) denote the λ-fold complete 3-uniform hypergraph on v vertices. We find maximum packings of λKv(3) with copies of H.