Contractible Hamiltonian Cycles in Triangulated Surfaces

Published 27 Mar 2010 in math.GT, cs.CG, and math.CO | (1003.5268v1)

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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Authors (1)

Ashish Kumar Upadhyay

Citations (6)

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