Cubic Cayley graphs with small diameter

نویسنده

  • Eugene Curtin
چکیده

In this paper we apply Pólya’s Theorem to the problem of enumerating Cayley graphs on permutation groups up to isomorphisms induced by conjugacy in the symmetric group. We report the results of a search of all three-regular Cayley graphs on permutation groups of degree at most nine for small diameter graphs. We explore several methods of constructing covering graphs of these Cayley graphs. Examples of large graphs with small diameter are obtained.

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عنوان ژورنال:
  • Discrete Mathematics & Theoretical Computer Science

دوره 4  شماره 

صفحات  -

تاریخ انتشار 2001