Enumeration of irreducible contact graphs on the sphere

Abstract

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

References in corpus (1)

• Densest local sphere-packing diversity: General concepts and application to two dimensions