Every large connected Cayley graph with degree at least n to the power 1-c for some fixed c>0 has a Hamilton cycle.
When the cartesian product of directed cycles is Hamiltonian.Journal of Graph Theory, 2(2):137–142, 1978
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The Lov\'asz conjecture holds for moderately dense Cayley graphs
Every large connected Cayley graph with degree at least n to the power 1-c for some fixed c>0 has a Hamilton cycle.