Morphing Graphs on Hyperbolic Surfaces

Yanwen Luo; Yuan Luo

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arXiv · 2607.21469

Morphing Graphs on Hyperbolic Surfaces

Yanwen Luo·Yuan Luo

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Abstract

We propose the first algorithm to morph geometric graphs on hyperbolic surfaces. It is based on a generalization of Tutte's spring embedding theorem on essentially 3-vertex-connected graphs. We describe the algorithms in detail and show experiments with triangulations and graphs on a hyperbolic surface of genus two, the Bolza surface, and a hyperbolic surface of genus three, the Klein quartic.

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math.GT cs.CG

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Yanwen Luo, Yuan Luo. 2026-07-23. Morphing Graphs on Hyperbolic Surfaces. https://arxiv.org/abs/2607.21469

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