SPECTRAL GAP OF THE DISCRETE LAPLACIAN ON TRIANGULATIONS
Trou spectral du Laplacien discret des triangulations
Abstract
Our goal in this paper is to find an estimate for the spectral gap of the Laplacian on a 2-simplicial complex consisting on a triangulation of a complete graph. An upper estimate is given by generalizing the Cheeger constant. The lower estimate is obtained from the first non-zero eigenvalue of the discrete Laplacian acting on the functions of certain sub-graphs.
Domains
Spectral Theory [math.SP]
Origin : Files produced by the author(s)