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arXiv · 1308.0721

Tight co-degree condition for the existence of loose Hamilton cycles in 3-graphs

Andrzej Czygrinow·Theodore Molla
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Abstract

In 2006, Kühn 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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Andrzej Czygrinow, Theodore Molla. 2013-08-03. Tight co-degree condition for the existence of loose Hamilton cycles in 3-graphs. https://arxiv.org/abs/1308.0721

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