Pancyclicity of Mobius cubes

The problem of containing pancyclic interconnection networks is an important research topic. An n-dimensional Mobius cube, MQ_n, is a variant of hypercubes according to specific rules. In this paper, we prove that Mobius cubes are all pancyclic networks. Similarly, both an n-dimensional crossed cube, CQ_n, and an n-dimensional twisted cube, TQ_n, are also variants of hypercubes according to specific rules. Moreover although the pancyclic property of a crossed cube and a twisted cube had been proved, we propose an alternative proof of this property.