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math.CO2014
Triangulated map with minimum degree four is Hamiltonian
Dipendu Maity, Ashish Kumar Upadhyay
A is an embedding of a graph on surfaces where every face has length three. In this article, we show the existence of contractible Hamiltonian cycle in triangulated…
math.CO2014
Hamiltonian Cycles in Polyhedral Maps
Dipendu Maity, Ashish Kumar Upadhyay
We present a necessary and sufficient condition for existence of a contractible, non-separating and noncontractible separating Hamiltonian cycle in the edge graph of polyhedral map…
math.GT2014
Some Centrally Symmetric Manifolds
Dipendu Maity, Ashish Kumar Upadhyay
We show existence of centrally symmetric maps on surfaces all of whose faces are quadrangles and pentagons for each orientable genus . We also show existence of centrally…