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The Curvature of Graph Products

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arxiv 2107.08563 v1 pith:7A7YPCFP submitted 2021-07-19 math.CO

Oliver Knill This is my paper · ORCID
classification math.CO
keywords curvatureproductarbitrarycurvaturesequalfinitegraphgraphs
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We show that the curvature K_(G*H)(x,y) at a point (x,y) in the strong product G*H of two arbitrary finite simple graphs is equal to the product K_G(x) K_H(y) of the curvatures.

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  1. Euler Characteristics of Random Manifolds

    math.CO 2026-07 conditional novelty 5.0 of 10

    For a random codimension-1 level set H in a simplicial complex G, E[χ(H)] equals 2−2K(G)−χ(G), with K the curvature functional built from the f-vector.

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