Comparison of Steklov eigenvalues and Laplacian eigenvalues on graphs

DOI10.1090/proc/15866OpenAlexW3095425088MaRDI QIDQ5027193

Yongjie Shi, Chengjie Yu

Publication date: 4 February 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.13969

zbMATH Keywords

Laplacian eigenvalueSteklov eigenvalueeigenvalue comparison

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Discrete version of topics in analysis (39A12)

Related Items (4)

A Lichnerowicz-type estimate for Steklov eigenvalues on graphs and its rigidity ⋮ Upper bounds for the Steklov eigenvalues on trees ⋮ Dirichlet-to-Neumann maps for differential forms on graphs and their eigenvalues ⋮ Monotonicity of Steklov eigenvalues on graphs and applications

Cites Work

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• Lower bounds for the first eigenvalue of the Steklov problem on graphs
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• Isoperimetric upper bound for the first eigenvalue of discrete Steklov problems
• Ollivier Ricci curvature for general graph Laplacians: heat equation, Laplacian comparison, non-explosion and diameter bounds
• Discrete Curvature and Abelian Groups
• Curvature aspects of graphs
• The Legacy of Vladimir Andreevich Steklov
• Higher order Cheeger inequalities for Steklov eigenvalues

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