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arXiv · 2009.04658

A new proof of Balinski's theorem on the connectivity of polytopes

Guillermo Pineda-Villavicencio
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Abstract

Balinski (1961) proved that the graph of a $d$-dimensional convex polytope is $d$-connected. We provide a new proof of this result. Our proof provides details on the nature of a separating set with exactly $d$ vertices; some of which appear to be new.

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Guillermo Pineda-Villavicencio. 2021-03-30. A new proof of Balinski's theorem on the connectivity of polytopes. https://arxiv.org/abs/2009.04658

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