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

Bobo Hua; Yan Huang; Zuoqin Wang

arxiv: 1705.04484 · v1 · pith:MIK3S5UOnew · submitted 2017-05-12 · 🧮 math.SP

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

Bobo Hua , Yan Huang , Zuoqin Wang This is my paper

classification 🧮 math.SP

keywords dirichlet-to-neumannestimatesfirstgraphsoperatorsboundboundaryconstants

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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.

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

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