Odd-order Cayley graphs with commutator subgroup of order pq are hamiltonian

preprint2012arXivOpen access

Abstract

We show that if G is a nontrivial, finite group of odd order, whose commutator subgroup [G,G] is cyclic of order p^m q^n, where p and q are prime, then every connected Cayley graph on G has a hamiltonian cycle.

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