Pancyclicity and Panconnectivity in Augmented k-ary n-cubes

The augmented k-ary n-cube AQ_n,k is a recently proposed interconnection network that incorporates an extension of a k-ary n-cube Q_n ^k inspired by the extension of a hypercube Q_n to the augmented hypercube AQ_n (as developed by Choudom and Sunita). We extend a recent topological investigation of augmented k-ary n-cubes by proving that any augmented k-ary n-cube AQ_n,k is edge-pancyclic and that AQ_2,k is panconnected.