Contractible Hamiltonian Cycles in Triangulated Surfaces

Details Contractible Hamiltonian Cycles in Triangulated Surfaces Contractible Hamiltonian Cycles in Triangulated Surfaces

2010-03-27

arxiv.org/abs/1003.5268v1

Mathematics

Geometric Topology

6 pages, 1 figure

Scientific paper

A triangulation of a surface is called $q$-equivelar if each of its vertices
is incident with exactly $q$ triangles. In 1972 Altshuler had shown that an
equivelar triangulation of torus has a Hamiltonian Circuit. Here we present a
necessary and sufficient condition for existence of a contractible Hamiltonian
Cycle in equivelar triangulation of a surface.

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