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arXiv · 2005.03391

Minimum pair degree condition for tight Hamiltonian cycles in $4$-uniform hypergraphs

Joanna Polcyn·Christian Reiher·Vojtěch Rödl·Andrzej Ruciński·Mathias Schacht·Bjarne Schülke
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Abstract

We show that every 4-uniform hypergraph with $n$ vertices and minimum pair degree at least $(5/9+o(1))n^2/2$ contains a tight Hamiltonian cycle. This degree condition is asymptotically optimal.

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Joanna Polcyn, Christian Reiher, Vojtěch Rödl, Andrzej Ruciński, Mathias Schacht, Bjarne Schülke. 2020-05-07. Minimum pair degree condition for tight Hamiltonian cycles in $4$-uniform hypergraphs. https://doi.org/10.1007/s10474-020-01078-7

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