Hamilton paths in Cayley graphs on generalized dihedral groups

نویسندگان

  • Brian Alspach
  • C. C. Chen
  • Matthew Dean
چکیده

We investigate the existence of Hamilton paths in connected Cayley graphs on generalized dihedral groups. In particular, we show that a connected Cayley graph of valency at least three on a generalized dihedral group, whose order is divisible by four, is Hamiltonconnected, unless it is bipartite, in which case it is Hamilton-laceable.

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تاریخ انتشار 2010