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arxiv: 1312.5450 · v1 · pith:H4QPY343new · submitted 2013-12-19 · 🧮 math.MG

Enumeration of irreducible contact graphs on the sphere

classification 🧮 math.MG
keywords contactenumerationgraphsirreduciblespheresphericalarticlecaps
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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 ${\Bbb S}^2 $ with $N < 12.$ This is equivalent to the enumeration of irreducible spherical contact graphs.

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