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arXiv · 1003.5268

Contractible Hamiltonian Cycles in Triangulated Surfaces

Ashish Kumar Upadhyay
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Abstract

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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Ashish Kumar Upadhyay. 2010-03-27. Contractible Hamiltonian Cycles in Triangulated Surfaces. https://arxiv.org/abs/1003.5268

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