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

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

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...

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Main Authors: Armstrong, Amber; St. Paul Academy and Summit School, St. Paul, MN (Author), Bunge, Ryan C.; Illinois State University, Normal, IL 1790-4520 (Author), Duncan, William; Illinois State University, Normal, IL 1790-4520 (Author), El-Zanati, Saad I.; Illinois State University Normal, IL 1790-4520, USA (Author), Koe, Kristin; Illinois State University, Normal, IL 1790-4520 (Author), Stutzman, Rachel; Greenville University, Greenville, IL (Author)
Other Authors: National Science Foundation, Division of Mathematical Sciences (Contributor)
Format: EJournal Article
Published: GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB, 2021-10-16.
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info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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Summary: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.
Item Description:https://www.ejgta.org/index.php/ejgta/article/view/925

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