Regular matchstick graphs on the sphere
Combinatorics
2025-02-13 v1 Discrete Mathematics
Metric Geometry
Abstract
We show that the -regular matchstick graphs on the sphere are exactly the five -regular contact graphs of congruent caps on the sphere found by R. M. Robinson (1969).
Cite
@article{arxiv.2502.08294,
title = {Regular matchstick graphs on the sphere},
author = {Konrad J. Swanepoel},
journal= {arXiv preprint arXiv:2502.08294},
year = {2025}
}