On Hamiltonian cycles in hypergraphs with dense link graphs

Published 7 Jul 2020 in math.CO | (2007.03820v1)

Abstract: We show that every $k$-uniform hypergraph on $n$ vertices whose minimum $(k-2)$-degree is at least $(5/9+o(1))n^2/2$ contains a Hamiltonian cycle. A construction due to Han and Zhao shows that this minimum degree condition is optimal. The same result was proved independently by Lang and Sahueza-Matamala.

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