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- Circle_packing_theorem abstract "The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible tangency relations between circles in the plane whose interiors are disjoint. A circle packing is a connected collection of circles (in general, on any Riemann surface) whose interiors are disjoint. The intersection graph (sometimes called the tangency graph or contact graph) of a circle packing is the graph having a vertex for each circle, and an edge for every pair of circles that are tangent. If the circle packing is on the plane, or, equivalently, on the sphere, then its intersection graph is called a coin graph. Coin graphs are always connected, simple, and planar. The circle packing theorem states that the converse also holds:Circle packing theorem: Forevery connected simple planar graph G there is a circle packing in the planewhose intersection graph is (isomorphic to) G.".
- Circle_packing_theorem thumbnail Circle_packing_theorem_K5_minus_edge_example.svg?width=300.
- Circle_packing_theorem wikiPageExternalLink 1214441375.
- Circle_packing_theorem wikiPageExternalLink ACS_revised.pdf.
- Circle_packing_theorem wikiPageExternalLink bibliography.
- Circle_packing_theorem wikiPageExternalLink CirclePack.
- Circle_packing_theorem wikiPageExternalLink viewarticle.php?id=1605&layout=abstract.
- Circle_packing_theorem wikiPageExternalLink viewarticle.php?id=1298&layout=abstract.
- Circle_packing_theorem wikiPageExternalLink gt3m.
- Circle_packing_theorem wikiPageID "16648043".
- Circle_packing_theorem wikiPageRevisionID "603889906".
- Circle_packing_theorem hasPhotoCollection Circle_packing_theorem.
- Circle_packing_theorem subject Category:Circles.
- Circle_packing_theorem subject Category:Planar_graphs.
- Circle_packing_theorem subject Category:Theorems_in_geometry.
- Circle_packing_theorem subject Category:Theorems_in_graph_theory.
- Circle_packing_theorem type Abstraction100002137.
- Circle_packing_theorem type Attribute100024264.
- Circle_packing_theorem type Circle113873502.
- Circle_packing_theorem type Circles.
- Circle_packing_theorem type Communication100033020.
- Circle_packing_theorem type ConicSection113872975.
- Circle_packing_theorem type Ellipse113878306.
- Circle_packing_theorem type Figure113862780.
- Circle_packing_theorem type Graph107000195.
- Circle_packing_theorem type Message106598915.
- Circle_packing_theorem type PlanarGraphs.
- Circle_packing_theorem type PlaneFigure113863186.
- Circle_packing_theorem type Proposition106750804.
- Circle_packing_theorem type Shape100027807.
- Circle_packing_theorem type Statement106722453.
- Circle_packing_theorem type Theorem106752293.
- Circle_packing_theorem type TheoremsInGeometry.
- Circle_packing_theorem type TheoremsInGraphTheory.
- Circle_packing_theorem type VisualCommunication106873252.
- Circle_packing_theorem comment "The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible tangency relations between circles in the plane whose interiors are disjoint. A circle packing is a connected collection of circles (in general, on any Riemann surface) whose interiors are disjoint.".
- Circle_packing_theorem label "Circle packing theorem".
- Circle_packing_theorem label "Teorema de empaquetamiento de circunferencias".
- Circle_packing_theorem sameAs Teorema_de_empaquetamiento_de_circunferencias.
- Circle_packing_theorem sameAs m.03yjjxg.
- Circle_packing_theorem sameAs Q5121504.
- Circle_packing_theorem sameAs Q5121504.
- Circle_packing_theorem sameAs Circle_packing_theorem.
- Circle_packing_theorem wasDerivedFrom Circle_packing_theorem?oldid=603889906.
- Circle_packing_theorem depiction Circle_packing_theorem_K5_minus_edge_example.svg.
- Circle_packing_theorem isPrimaryTopicOf Circle_packing_theorem.