It has been conjectured there is a hamiltonian cycle in every Cayley graph. Interest in this and other closely related questions has grown in the past few years. We survey the results, techniques and open problems in the field.
Bibliographical noteFunding Information:
Closing cot-t ments.T he authors welcome correspondenceo n the areasc overed in this survey. Many of the theoremsp resentedh ere were obtained in summer undergraduater esearch programs run by the a.uthors.T hese programs were funded by the NSF and the IJniversity of Minnesota. David Witte was also graduatef ellowshipsf rom the NSF and the Ro’bertR =M cCormick