Cheeger estimates of Dirichlet-to-Neumann operators on infinite subgraphs of graphs

Bobo Hua; Yan Huang; Zuoqin Wang

doi:10.4171/jst/427

JournalsjstVol. 12, No. 3pp. 1079–1108

Cheeger estimates of Dirichlet-to-Neumann operators on infinite subgraphs of graphs

Bobo Hua
Fudan University, Shanghai, China
Yan Huang
Fudan University, Shanghai, China
- MathSciNet
Zuoqin Wang
University of Science and Technology of China, Hefei, China
- MathSciNet

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Abstract

In this paper, we study the Dirichlet-to-Neumann operators on infinite subgraphs of graphs. For an infinite subgraph, we prove Cheeger-type estimates for the bottom spectrum of the Dirichlet-to-Neumann operator, and the higher order Cheeger estimates for higher order eigenvalues of the Dirichlet-to-Neumann operator.

Cite this article

Bobo Hua, Yan Huang, Zuoqin Wang, Cheeger estimates of Dirichlet-to-Neumann operators on infinite subgraphs of graphs. J. Spectr. Theory 12 (2022), no. 3, pp. 1079–1108

DOI 10.4171/JST/427