paper

First eigenvalue estimates of Dirichlet-to-Neumann operators on graphs

arXiv:1705.04484

Abstract

Following Escobar [Esc97] and Jammes [Jam15], we introduce two types of isoperimetric constants and give lower bound estimates for the first nontrivial eigenvalues of Dirichlet-to-Neumann operators on finite graphs with boundary respectively.

23 pages, 2 figures

First eigenvalue estimates of Dirichlet-to-Neumann operators on graphs · wovepaper