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

Authors

DOI:

https://doi.org/10.11575/cdm.v13i2.62730

Keywords:

Hypergraphs, Hamiltonian cycles, Degree conditions

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 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.

References

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Published

2018-12-31

Issue

Vol. 13 No. 2 (2018)

Section

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