Contractible Hamiltonian Cycles in Triangulated Surfaces
classification
🧮 math.GT
cs.CGmath.CO
keywords
equivelarhamiltoniantriangulationcontractiblesurfacealtshulercalledcircuit
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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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