Upadhyay, Ashish K., and Dipendu Maity. "A Note on Edge-disjoint Contractible Hamiltonian Cycles in Polyhedral Maps." Electronic Journal of Graph Theory and Applications, vol. 2, no. 2, 2014.
We present a necessary and sufficient condition for existence of edge-disjoint contractible Hamiltonian Cycles in the edge graph of polyhedral maps.