We show that if G is any nilpotent, finite group, and the commutator subgroup of G is cyclic, then every connected Cayley graph on G has a hamiltonian cycle.
@article{280, title = {Cayley graphs on nilpotent groups with cyclic commutator subgroup are hamiltonian}, journal = {ARS MATHEMATICA CONTEMPORANEA}, volume = {6}, year = {2013}, doi = {10.26493/1855-3974.280.8d3}, language = {EN}, url = {http://dml.mathdoc.fr/item/280} }
Ghaderpour, Ebrahim; Morris, Dave Witte. Cayley graphs on nilpotent groups with cyclic commutator subgroup are hamiltonian. ARS MATHEMATICA CONTEMPORANEA, Tome 6 (2013) . doi : 10.26493/1855-3974.280.8d3. http://gdmltest.u-ga.fr/item/280/