Open Access
Translator Disclaimer
January 2020 An estimate of the first non-zero eigenvalue of the Laplacian by the Ricci curvature on edges of graphs
Taiki Yamada
Osaka J. Math. 57(1): 151-163 (January 2020).

Abstract

We define the distance between edges of graphs and study the coarse Ricci curvature on edges. We consider the Laplacian on edges based on the Jost-Horak's definition of the Laplacian on simplicial complexes. As one of our main results, we obtain an estimate of the first non-zero eigenvalue of the Laplacian by the Ricci curvature for a regular graph.

Citation

Download Citation

Taiki Yamada. "An estimate of the first non-zero eigenvalue of the Laplacian by the Ricci curvature on edges of graphs." Osaka J. Math. 57 (1) 151 - 163, January 2020.

Information

Published: January 2020
First available in Project Euclid: 15 January 2020

zbMATH: 07196620
MathSciNet: MR4052633

Subjects:
Primary: 05C12
Secondary: 35J05, 52C99

Rights: Copyright © 2020 Osaka University and Osaka City University, Departments of Mathematics

JOURNAL ARTICLE
13 PAGES


SHARE
Vol.57 • No. 1 • January 2020
Back to Top