Cayley graphs of order 30p are Hamiltonian

Correspondence should be addressed to Dave Witte Morris, [email protected] Received 22 January 2011; Accepted 18 April 2011 Academic Editor: Cai Heng Li Copyright q 2011 E. Ghaderpour and D. W. Morris. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Suppose that G is a finite group, such that |G| 27p, where p is prime. We show that if S is any generating set ofG, then there is a Hamiltonian cycle in the corresponding Cayley graph Cay G;S .