Cheeger type inequalities associated with isocapacitary constants on graphs
Differential Geometry
2024-10-08 v2
Abstract
In this paper, we introduce Cheeger type constants via isocapacitary constants introduced by Maz'ya to estimate first Dirichlet, Neumann and Steklov eigenvalues on a finite subgraph of a graph. Moreover, we estimate the bottom of the spectrum of the Laplace operator and the Dirichlet-to-Neumann operator for an infinite subgraph. Estimates for higher-order Steklov eigenvalues on a finite or infinite subgraph are also proved.
Cite
@article{arxiv.2406.12583,
title = {Cheeger type inequalities associated with isocapacitary constants on graphs},
author = {Bobo Hua and Florentin Münch and Tao Wang},
journal= {arXiv preprint arXiv:2406.12583},
year = {2024}
}
Comments
We corrected some typos