@article{discovery1405894,
           title = {A graph discretization of the Laplace-Beltrami operator},
            year = {2014},
          number = {4},
         journal = {Journal of Spectral Theory},
           pages = {675--714},
            note = {{\copyright} European Mathematical Society.},
       publisher = {EUROPEAN MATHEMATICAL SOC},
           month = {January},
          volume = {4},
            issn = {1664-039X},
          author = {Burago, D and Ivanov, S and Kurylev, Y},
        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.},
             url = {http://dx.doi.org/10.4171/JST/83},
        keywords = {Laplace, graph, discretization, Riemannian, RIEMANNIAN-MANIFOLDS, CONVERGENCE}
}