Enumeration of irreducible contact graphs on the sphere
Oleg Rustumovich Musin, Alexey S. Tarasov · arXiv (Cornell University) · 2013
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.