English

Cayley graphs of order 27p are hamiltonian

Combinatorics 2011-04-22 v3

Abstract

Suppose G is a finite group, such that |G| = 27p, where p is prime. We show that if S is any generating set of G, then there is a hamiltonian cycle in the corresponding Cayley graph Cay(G;S).

Keywords

Cite

@article{arxiv.1101.4322,
  title  = {Cayley graphs of order 27p are hamiltonian},
  author = {Ebrahim Ghaderpour and Dave Witte Morris},
  journal= {arXiv preprint arXiv:1101.4322},
  year   = {2011}
}

Comments

13 pages, no figures; minor revisions, including suggestions from a referee; this version is to appear in the International Journal of Combinatorics