A graph discretization of the Laplace–Beltrami operator
Dmitri Burago, Sergei Ivanov, Yaroslav Kurylev · Journal of Spectral Theory · 2015
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.