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Analysis of the physical Laplacian and the heat flow on a locally finite graph

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arxiv 0801.0812 v4 pith:3AZULR46 submitted 2008-01-05 math.SP math.CO

classification math.SPmath.CO
keywords finiteflowgraphheatlaplacianlocallyphysicalanalysis
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We study the physical Laplacian and the corresponding heat flow on an infinite, locally finite graph with possibly unbounded valence.

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Cited by 1 Pith paper

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  1. Spectro-Riemannian Graph Neural Networks

    cs.LG 2025-02 conditional novelty 6.0 of 10

    CUSP is a graph neural network that combines Ollivier-Ricci curvature with spectral filters on a product of hyperbolic, spherical, and Euclidean spaces, claiming SOTA results on eight node and link prediction benchmarks.

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