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arxiv: 1810.10763 · v1 · pith:VDSGB4WGnew · submitted 2018-10-25 · 🧮 math-ph · math.CO· math.FA· math.MP

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

classification 🧮 math-ph math.COmath.FAmath.MP
keywords dirichlet-to-neumannestimatesinfinitecheegergraphshigheroperatoroperators
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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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