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arXiv · 1705.03707

Loose Hamiltonian cycles forced by large $(k-2)$-degree - sharp version

Josefran de Oliveira Bastos·Guilherme Oliveira Mota·Mathias Schacht·Jakob Schnitzer·Fabian Schulenburg
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Abstract

We prove for all $k\geq 4$ and $1\leq\ell<k/2$ the sharp minimum $(k-2)$-degree bound for a $k$-uniform hypergraph $\mathcal H$ on $n$ vertices to contain a Hamiltonian $\ell$-cycle if $k-\ell$ divides $n$ and $n$ is sufficiently large. This extends a result of Han and Zhao for $3$-uniform hypegraphs.

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Josefran de Oliveira Bastos, Guilherme Oliveira Mota, Mathias Schacht, Jakob Schnitzer, Fabian Schulenburg. 2019-01-29. Loose Hamiltonian cycles forced by large $(k-2)$-degree - sharp version. https://doi.org/10.11575/cdm.v13i2.62730

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