English

Graphs with positive spectrum

Differential Geometry 2021-09-09 v2 Metric Geometry Spectral Theory

Abstract

In this paper, we prove sharp 2\ell^2 decay estimates of nonnegative generalized subharmonic functions on graphs with positive Laplacian spectrum, which extends the result by Li and Wang on Riemannian manifolds.

Keywords

Cite

@article{arxiv.2005.07985,
  title  = {Graphs with positive spectrum},
  author = {Bobo Hua and Zhiqin Lu},
  journal= {arXiv preprint arXiv:2005.07985},
  year   = {2021}
}

Comments

26 pages. A proof on Riemannian manifolds is added

R2 v1 2026-06-23T15:35:34.098Z