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Tag: <span>duality</span>
Home Posts tagged "duality"

Tag: duality

Connection Duality
Graph theory

Connection Duality

By oliverknill April 19, 2018 April 19, 2018  connection laplacian, duality

A simplicial complex G defines the connection matrix L which is L(x,y)=1 if and only if x and y intersect. The dual matrix is K(x,y)=1 if and only if x and y do not intersect. It is the adjacency matrix of the dual connection graph.

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Combinatorial Alexander Duality
discrete geometry, Graph theory

Combinatorial Alexander Duality

By oliverknill April 15, 2018 April 17, 2018  alexander, cohomology, duality, Hodge

The beautiful Alexander duality theorem for finite abstract simplicial complexes.

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