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Neumann Cheeger constants on graphs

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arxiv 1610.01360 v1 pith:JI5J6JR5 submitted 2016-10-05 math.SP math.CO

Hua Bobo , Huang Yan This is my paper · ORCID
classification math.SPmath.CO
keywords cheegerneumannconstantsboundarycasechungconditioncorresponding
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For any subgraph of a graph, the Laplacian with Neumann boundary condition was introduced by Chung and Yau [CY94]. In this paper, motivated by the Riemannian case, we introduce the Cheeger constants for Neumann problems and prove corresponding Cheeger estimates for first nontrivial eigenvalues.

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