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arxiv: 1406.5615 · v2 · pith:36BKXNXDnew · submitted 2014-06-21 · 🧮 math.CO · math.GT

Triangulated map with minimum degree four is Hamiltonian

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keywords degreefourhamiltonianminimumtriangulatedarticlecontractiblecycle
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A $triangulation$ is an embedding of a graph on surfaces where every face has length three. In this article, we show the existence of contractible Hamiltonian cycle in triangulated maps of which minimum degree is four.

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