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arXiv · 2008.03027

A Whitney type theorem for surfaces: characterising graphs with locally planar embeddings

Johannes Carmesin
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Abstract

We prove that for any parameter r an r-locally 2-connected graph G embeds r-locally planarly in a surface if and only if a certain matroid associated to the graph G is co-graphic. This extends Whitney's abstract planar duality theorem from 1932.

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Johannes Carmesin. 2020-11-19. A Whitney type theorem for surfaces: characterising graphs with locally planar embeddings. https://arxiv.org/abs/2008.03027

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