Regular matchstick graphs on the sphere

Fuente: arXiv
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Autore principale: Swanepoel, Konrad J.
Natura: Preprint
Pubblicazione: 2025
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author Swanepoel, Konrad J.
author_facet Swanepoel, Konrad J.
contents 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).
format Preprint
id arxiv_https___arxiv_org_abs_2502_08294
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Regular matchstick graphs on the sphere
Swanepoel, Konrad J.
Combinatorics
Discrete Mathematics
Metric Geometry
52C10, 05C10
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).
title Regular matchstick graphs on the sphere
topic Combinatorics
Discrete Mathematics
Metric Geometry
52C10, 05C10
url https://arxiv.org/abs/2502.08294