FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2013, VOLUME 18, NUMBER 2, PAGES 125-145

Enumeration of irreducible contact graphs on the sphere

O. R. Musin
A. S. Tarasov

Abstract

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In this article, using the computer, are enumerated all locally-rigid packings by $N$ congruent circles (spherical caps) on the unit sphere $$S² with . This is equivalent to the enumeration of irreducible spherical contact graphs.

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Last modified: January 7, 2014