On arc-traceable tournaments

نویسندگان

  • Arthur H. Busch
  • Michael S. Jacobson
  • K. Brooks Reid
چکیده

A digraph D = (V, A) is arc-traceable if for each arc xy in A, xy lies on a directed path containing all the vertices of V , i.e. a hamiltonian path. Given a tournament T , it is well known that it contains a directed hamiltonian path. In this paper, we develop the structure necessary for a tournament T to contain an arc xy that is not on any hamiltonian path. Using this structure, we give sufficient conditions for a tournament to be arc-traceable. In addition, we give examples to show that these conditions are best possible. c

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عنوان ژورنال:
  • Journal of Graph Theory

دوره 53  شماره 

صفحات  -

تاریخ انتشار 2006