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

#### Abstract

*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

^{λ}

*K*

_{v}

^{(3)}denote the

*λ*-fold complete 3-uniform hypergraph on

*v*vertices. We find maximum packings of

^{λ}

*K*

_{v}

^{(3)}with copies of

*H*.

#### Keywords

#### Full Text:

PDFDOI: http://dx.doi.org/10.5614/ejgta.2021.9.2.17

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