On the Hamiltonicity of triple systems with high minimum degree

Abstract

We show that every 3-uniform hypergraph with minimum vertex degree at least $0.8\left(\genfrac{}{}{0ex}{}{n-1}{2}\right)$ contains a tight Hamiltonian cycle.

24 pages, second version addresses changes arising from the referee report

References in corpus (1)

• Minimum vertex degree conditions for loose Hamilton cycles in $3$-uniform hypergraphs

Cited by in corpus (1)

• Minimum vertex degree condition for tight Hamiltonian cycles in 3-uniform hypergraphs