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Tag: graphs
Home Posts tagged "graphs"

Tag: graphs

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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The Hydrogen Relation
discrete geometry, Graph theory

The Hydrogen Relation

By oliverknill March 4, 2018 March 7, 2018  graphs, hydrogen, simplicial complexes, spectral radius

For a one-dimensional simplicial complex, the sign less Hodge operator can be written as L-g, where g is the inverse of L. This leads to a Laplace equation shows solutions are given by a two-sided random walk.

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Strong Ring of Simplicial Complexes
Graph theory, quantum calculus

Strong Ring of Simplicial Complexes

By oliverknill July 30, 2017 August 5, 2017  graphs, simplicial complexes, strong ring

The strong ring is a category of geometric objects G which are disjoint unions of products of
simplicial complexes. Each has a Dirac operator D and a connection operator L. Both are related in
various ways to topology.

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