English

Comparison of Steklov eigenvalues and Laplacian eigenvalues on graphs

Differential Geometry 2021-05-17 v3 Spectral Theory

Abstract

In this paper, we obtain a comparison of Steklov eigenvalues and Laplacian eigenvalues on graphs and discuss its rigidity. As applications of the comparison of eigenvalues, we obtain Lichnerowicz-type estimates and some combinatorial estimates for Steklov eigenvalues on graphs.

Keywords

Cite

@article{arxiv.2010.13969,
  title  = {Comparison of Steklov eigenvalues and Laplacian eigenvalues on graphs},
  author = {Yongjie Shi and Chengjie Yu},
  journal= {arXiv preprint arXiv:2010.13969},
  year   = {2021}
}

Comments

Some typos corrected

R2 v1 2026-06-23T19:40:15.222Z