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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Amber Armstrong
St. Paul Academy and Summit School, St. Paul, MN
Electrical & Electronics Engineering

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On maximum packings of λ-fold complete 3-uniform hypergraphs with triple-hyperstars of size 4 Amber Armstrong; Ryan C. Bunge; William Duncan; Saad I. El-Zanati; Kristin Koe; Rachel Stutzman
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 9, No 2 (2021): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2021.9.2.17

Abstract

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.
Co-Authors Kristin Koe Rachel Stutzman Ryan C. Bunge Saad I. El-Zanati William Duncan