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Tag: Curvature
Home Posts tagged "Curvature"

Tag: Curvature

Mickey Mouse Sphere Theorem
discrete geometry, graph geometry, Graph theory

Mickey Mouse Sphere Theorem

By oliverknill October 11, 2019 October 17, 2019  Curvature, graphs, Mickey mouse, mickey mouse sphere theorem, sphere theorem

The Mickey mouse theorem assures that a connected positive curvature graph of positive dimension is a sphere.

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Gauss-Bonnet for the f-function
discrete geometry, Graph theory

Gauss-Bonnet for the f-function

By oliverknill May 27, 2019 June 7, 2019  Curvature, F-function, Gauss-Bonnet

The f-function of a graph minus 1 is the sum of the antiderivatives of the f-function anti-derivatives evaluated on the unit spheres.

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