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arXiv · 2502.08294

Regular matchstick graphs on the sphere

Konrad J. Swanepoel
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Abstract

We show that the $5$-regular matchstick graphs on the sphere are exactly the five $5$-regular contact graphs of congruent caps on the sphere found by R. M. Robinson (1969).

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Konrad J. Swanepoel. 2025-02-12. Regular matchstick graphs on the sphere. https://arxiv.org/abs/2502.08294

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