English

Hardy-Muckenhoupt Bounds for Laplacian Eigenvalues

Discrete Mathematics 2018-12-10 v1 Data Structures and Algorithms

Abstract

We present two graph quantities Psi(G,S) and Psi_2(G) which give constant factor estimates to the Dirichlet and Neumann eigenvalues, lambda(G,S) and lambda_2(G), respectively. Our techniques make use of a discrete Hardy-type inequality.

Cite

@article{arxiv.1812.02841,
  title  = {Hardy-Muckenhoupt Bounds for Laplacian Eigenvalues},
  author = {Gary L. Miller and Noel J. Walkington and Alex L. Wang},
  journal= {arXiv preprint arXiv:1812.02841},
  year   = {2018}
}
R2 v1 2026-06-23T06:34:54.657Z