Tight Codegree Condition for the Existence of Loose Hamilton Cycles in 3-Graphs

نویسندگان

  • Andrzej Czygrinow
  • Theodore Molla
چکیده

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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عنوان ژورنال:
  • SIAM J. Discrete Math.

دوره 28  شماره 

صفحات  -

تاریخ انتشار 2014