Arbitrary Orientations of Hamilton Cycles in Oriented Graphs

نویسنده

  • Luke Kelly
چکیده

We use a randomised embedding method to prove that for all α > 0 any sufficiently large oriented graph G with minimum in-degree and outdegree δ+(G), δ−(G) ≥ (3/8+α)|G| contains every possible orientation of a Hamilton cycle. This confirms a conjecture of Häggkvist and Thomason.

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 18  شماره 

صفحات  -

تاریخ انتشار 2011