Tight co-degree condition for the existence of loose Hamilton cycles in 3-graphs
Abstract
In 2006, K\"uhn and Osthus showed that if a 3-graph H on n vertices has minimum co-degree at least (1/4 +o(1))n and n is even then H has a loose Hamilton cycle. In this paper, we prove that the minimum co-degree of n/4 suffices. The result is tight.
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