CONTRACTIBLE HAMILTONIAN CYCLES IN POLYHEDRAL MAPS
Dipendu Maity, Ashish Kumar Upadhyay · Discrete Mathematics Algorithms and Applications · 2012
We present a necessary and sufficient condition for existence of a contractible Hamiltonian cycle in the edge graph of equivelar maps on surfaces. We also present an algorithm to find such cycles (if they exist). This is further generalized and shown to hold for more general maps.