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arXiv · 2607.07809

Separation profiles of hyperbolic planar and apex-minor-free graphs

Joseph P. MacManus·Bobby Miraftab
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Abstract

We show that the separation profile of a hyperbolic planar graph and, more generally, a hyperbolic apex-minor-free graph, grows at most logarithmically, answering a question of Benjamini, Schramm, and Timár in the affirmative.

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Joseph P. MacManus, Bobby Miraftab. 2026-07-08. Separation profiles of hyperbolic planar and apex-minor-free graphs. https://arxiv.org/abs/2607.07809

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