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Enumeration of irreducible contact graphs on the sphere

2013/12/19 by Oleg R. Musin, Musin, Oleg, Alexey S. Tarasov +1
Computer Science · Mathematics · #Computational Geometry and Mesh Generation #Digital Image Processing Techniques #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.1312.5450

Abstract

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

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