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

• DOI: 10.1007/s00526-017-1260-3
• Publication Date: 2017-11-09T04:09:28Z
• Authors: Bobo Hua; Yan Huang; Zuoqin Wang
• Keywords: Dirichlet eigenvalue

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.<br/>23 pages, 2 figures<br/>