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Browsing by Author "Conko-Camel, Daryl"

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    Item type:Article, Access status: Open Access ,
    Maximum packings of the λ-fold complete 3-uniform hypergraph with loose 3-cycles
    (Wydawnictwa AGH, 2020) Bunge, Ryan C.; Collins, Dontez; Conko-Camel, Daryl; El-Zanati, Saad I.; Liebrecht, Rachel; Vasquez, Alexander
    It is known that the 3-uniform loose 3-cycle decomposes the complete 3-uniform hypergraph of order $v$ if and only if $v \equiv 0, 1,\text{ or }2\ (\operatorname{mod} 9)$. For all positive integers $\lambda$ and $v$, we find a maximum packing with loose 3-cycles of the $\lambda$-fold complete 3-uniform hypergraph of order $v$. We show that, if $v \geq 6$, such a packing has a leave of two or fewer edges.