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

Published 25 Oct 2018 in math-ph, math.CO, math.FA, and math.MP | (1810.10763v1)

Abstract: In this paper, we study the Dirichlet-to-Neumann operators on infinite subgraphs of graphs. For an infinite graph, 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.

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Authors (3)

  1. Bobo Hua 
  2. Yan Huang 
  3. Zuoqin Wang 

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