Laplacian matrices of general complex weighted directed graphs

DOI10.1016/J.LAA.2016.08.011zbMath1352.05112OpenAlexW2514589795MaRDI QIDQ501213

Jiu-Gang Dong, Lin Lin

Publication date: 29 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.08.011

zbMATH Keywords

balancednessLaplacian matrixcomplex weighted directed graphs

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Directed graphs (digraphs), tournaments (05C20) Signed and weighted graphs (05C22)

Related Items (4)

On eigenvalues of Laplacian matrix for a class of directed signed graphs ⋮ On singularity and properties of eigenvectors of complex Laplacian matrix of multidigraphs ⋮ Corrigendum to: ``On eigenvalues of Laplacian matrix for a class of directed signed graphs ⋮ Complex adjacency spectra of digraphs

Cites Work

• Spectral properties of complex unit gain graphs
• On weighted directed graphs
• Oriented gain graphs, line graphs and eigenvalues
• Biased graphs. I: Bias, balance, and gains
• Old and new results on algebraic connectivity of graphs
• A mathematical bibliography of signed and gain graphs and allied areas
• Biased graphs IV: Geometrical realizations
• Distributed Surrounding Design of Target Region With Complex Adjacency Matrices
• Properties of first eigenvectors and eigenvalues of nonsingular weighted directed graphs
• Consensus and Cooperation in Networked Multi-Agent Systems
• On Two-Sided Bounds Related to Weakly Diagonally Dominant M-Matrices with Application to Digital Circuit Dynamics
• Structural Analysis of Laplacian Spectral Properties of Large-Scale Networks

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