On the eigenvalues of weighted directed graphs

DOI10.1007/S11785-016-0615-7OpenAlexW2549773962MaRDI QIDQ1682254

Marwa Balti

Publication date: 29 November 2017

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.01633

zbMATH Keywords

comparison of eigenvaluesgraph Laplacianbounds of eigenvaluesdomain monotonicity

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) Variational methods for eigenvalues of operators (49R05)

Related Items (5)

Bounds for the skew Laplacian energy of weighted digraphs ⋮ m-accretive Laplacian on a non symmetric graph ⋮ The discrete Laplacian acting on 2-forms and application ⋮ Sectoriality and essential spectrum of non symmetric graph Laplacians ⋮ Non self-adjoint Laplacians on a directed graph

Cites Work

• Laplacians of infinite graphs. I: Metrically complete graphs
• The asymptotic properties of the spectrum of nonsymmetrically perturbed Jacobi matrix sequences
• The Gauss-Bonnet operator of an infinite graph
• On the Laplacian spectrum of an infinite graph
• Sturm–Liouville Estimates for the Spectrum and Cheeger Constant
• Non self-adjoint Laplacians on a directed graph
• Spectral gap for quantum graphs and their edge connectivity
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