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Polyhedra without cubic vertices are prism-hamiltonian (2104.04266v1)

Published 9 Apr 2021 in math.CO

Abstract: The prism over a graph $G$ is the Cartesian product of $G$ with the complete graph on two vertices. A graph $G$ is prism-hamiltonian if the prism over $G$ is hamiltonian. We prove that every polyhedral graph (i.e. 3-connected planar graph) of minimum degree at least four is prism-hamiltonian.

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