Hamiltonian Cycles in Polyhedral Maps
Combinatorics
2014-05-08 v1 Geometric Topology
Abstract
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 maps on surfaces. In particular, we show the existence of contractible Hamiltonian cycle in equivelar triangulated maps. We also present an algorithm to construct such cycles whenever it exists.
Cite
@article{arxiv.1405.1599,
title = {Hamiltonian Cycles in Polyhedral Maps},
author = {Dipendu Maity and Ashish Kumar Upadhyay},
journal= {arXiv preprint arXiv:1405.1599},
year = {2014}
}
Comments
14 pages