Lower bounds for the first eigenvalue of Laplacian on graphs

被引：2

作者：

Meng, LianChen ^{[1
]}

Lin, Yong ^{[1
]}

机构：

[1] Tsinghua Univ, Yau Math Sci Ctr, Beijing, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 538卷 / 01期

基金：

中国国家自然科学基金;

关键词：

The Dirichlet Laplace operator for graphs; Ricci curvature for graphs; Eigenvalues; Diameter; RICCI CURVATURE;

D O I：

10.1016/j.jmaa.2024.128369

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish a lower bound for the first eigenvalue of the Dirichlet Laplacian on locally finite graphs, which extending a previous result. We also provide an improved lower bound for the first eigenvalue for finite graphs with non-negative Ricci curvature. (c) 2024 Elsevier Inc. All rights reserved.

引用

页数：8

共 6 条

[1]

Bakry Dominique., 2006, Seminaire de_Probabilites_XIX_1983/84:_Proceedings, P177

[2] CURVATURE ASPECTS OF GRAPHS [J].

Bauer, F. ;

Chung, F. ;

Lin, Y. ;

Liu, Y. .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (05) :2033-2042

[3] Harnack inequalities for graphs with non-negative Ricci curvature [J].

Chung, Fan ;

Lin, Yong ;

Yau, S. -T. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 415 (01) :25-32

[4] RICCI CURVATURE OF GRAPHS [J].

Lin, Yong ;

Lu, Linyuan ;

Yau, Shing-Tung .

TOHOKU MATHEMATICAL JOURNAL, 2011, 63 (04) :605-627

[5]

Lin Y, 2010, MATH RES LETT, V17, P343, DOI 10.4310/MRL.2010.v17.n2.a13

[6] Ricci curvature of metric spaces [J].

Ollivier, Yann .

COMPTES RENDUS MATHEMATIQUE, 2007, 345 (11) :643-646

← 1 →