English

Enumeration of irreducible contact graphs on the sphere

Metric Geometry 2013-12-20 v1

Abstract

In this article, using the computer, are enumerated all locally-rigid packings by NN congruent circles (spherical caps) on the unit sphere S2{\Bbb S}^2 with N<12.N < 12. This is equivalent to the enumeration of irreducible spherical contact graphs.

Keywords

Cite

@article{arxiv.1312.5450,
  title  = {Enumeration of irreducible contact graphs on the sphere},
  author = {Oleg Musin and Alexey Tarasov},
  journal= {arXiv preprint arXiv:1312.5450},
  year   = {2013}
}