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arXiv · 2403.05862

A full Halin grid theorem

Agelos Georgakopoulos·Matthias Hamann
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Abstract

Halin's well-known grid theorem states that a graph $G$ with a thick end must contain a subdivision of the hexagonal half-grid. We obtain the following strengthening when $G$ is vertex-transitive and locally finite. Either $G$ is quasi-isometric to a tree (and therefore has no thick end), or it contains a subdivision of the full hexagonal grid.

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Agelos Georgakopoulos, Matthias Hamann. 2024-03-09. A full Halin grid theorem. https://arxiv.org/abs/2403.05862

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