A perturbed averaging operator on finite graphs

DOI10.1016/j.laa.2023.09.029zbMath1527.31016MaRDI QIDQ6087874

Victor Anandam, Varadha Raj Manivannan

Publication date: 16 November 2023

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

superharmonic functionsfinite graphsPerron-Frobenius theoremgreatest eigenvalue

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Discrete potential theory (31C20) Random walks on graphs (05C81)

Related Items (1)

Biharmonic functions on Schrödinger networks

Cites Work

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• Harmonic functions and potentials on finite or infinite networks
• Kirchhoff indexes of a network
• Potential theory on infinite networks
• Resistance distances in extended or contracted networks
• Potential theory for Schrödinger operators on finite networks
• Perturbations of discrete elliptic operators
• Harmonic spaces and their potential theory
• Les étapes et les aspects multiples de la théorie du potentiel. (The periods and the multiple aspects of potential theory)
• Laplacian eigenvectors of graphs. Perron-Frobenius and Faber-Krahn type theorems
• Graphs and Discrete Dirichlet Spaces
• Dirichlet-to-Robin maps on finite networks

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