Proceedings of the London Mathematical Society · 1996 · 32 citations · 8 references
Natural SciencesMathematicsCombinatoricsGeometryTopologyClose-packed StructuresEuclidean GeometryGeometric ConstructionsSpherical GeometryTopological CombinatoricsCircle Packing ConstructionsCircle PackingsSphere PackingSpherical Topology
Our interest is in the existence and uniqueness of collections of circles on the Riemann sphere with prescribed combinatoric patterns, prescribed angles of overlap, and prescribed branch sets. The central result in this topic is the following, commonly referred to now as the Andreev-Thurston Theorem.
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Separators in two and three dimensions
Gary L. Miller, William P. Thurston · 1990 · 76 citations · Full text
Drawing Graphs in the Plane with High Resolution
Michael Formann, Torben Hagerup, J. Haralambides et al. · SIAM Journal on Computing · 1993 · 73 citations
A polynomial time circle packing algorithm
Bojan Mohar · Discrete Mathematics · 1993 · 53 citations
On the deformation theory of classical Schottky groups
Robert Brooks · Duke Mathematical Journal · 1985 · 32 citations