Concerning two conjectures on the set of fixed points of a complete rotation of a Cayley digraph

نویسنده

  • Nicolas Lichiardopol
چکیده

In 1996, J-C bermond, T. Kodate, N. Marlin and S. Perennes conjectured that the set of fixed points of some complete rotation of the toroidal mesh is not separating. They also conjectured that the set of fixed points of any complete rotation of any Cayley digraph is not separating. In this paper, we prove the first conjecture and disprove the second one.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 280  شماره 

صفحات  -

تاریخ انتشار 2004