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arXiv · 1301.2222

A graph discretization of the Laplace-Beltrami operator

Dmitri Burago·Sergei Ivanov·Yaroslav Kurylev
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Abstract

We show that eigenvalues and eigenfunctions of the Laplace-Beltrami operator on a Riemannian manifold are approximated by eigenvalues and eigenvectors of a (suitably weighted) graph Laplace operator of a proximity graph on an epsilon-net.

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Dmitri Burago, Sergei Ivanov, Yaroslav Kurylev. 2013-01-10. A graph discretization of the Laplace-Beltrami operator. https://arxiv.org/abs/1301.2222

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