Contractible Hamiltonian Cycles in Polyhedral Maps

Details Contractible Hamiltonian Cycles in Polyhedral Maps Contractible Hamiltonian Cycles in Polyhedral Maps

2012-02-19

arxiv.org/abs/1202.4150v1

Mathematics

Combinatorics

9 pages, 1 figure

Scientific paper

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 construct such cycles. This is further
generalized and shown to hold for more general maps.

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