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arXiv · 1312.5450

Enumeration of irreducible contact graphs on the sphere

Oleg Musin·Alexey Tarasov
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Abstract

In this article, using the computer, are enumerated all locally-rigid packings by $N$ congruent circles (spherical caps) on the unit sphere ${\Bbb S}^2 $ with $N < 12.$ This is equivalent to the enumeration of irreducible spherical contact graphs.

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Oleg Musin, Alexey Tarasov. 2013-12-19. Enumeration of irreducible contact graphs on the sphere. https://arxiv.org/abs/1312.5450

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