scientific article; zbMATH DE number 7351285

zbMath1464.05170MaRDI QIDQ4989731

Maurizio Brunetti, Francesco Belardo

Publication date: 26 May 2021

Full work available at URL: https://journals.uwyo.edu/index.php/ela/article/view/5249

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

line graphvoltage graphsubdivision graphcomplex unit gain graphoriented gain graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Signed and weighted graphs (05C22) Graph operations (line graphs, products, etc.) (05C76)

Related Items (6)

Characterizations of line graphs in signed and gain graphs ⋮ Principal Minors of Hermitian (Quasi-)Laplacian Matrix of Second Kind for Mixed Graphs ⋮ On bounds of \(A_\alpha\)-eigenvalue multiplicity and the rank of a complex unit gain graph ⋮ NEPS of complex unit gain graphs ⋮ Spectra of quaternion unit gain graphs ⋮ Unnamed Item

Cites Work

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• Spectral properties of complex unit gain graphs
• Graphs with least eigenvalue \(-2\): ten years on
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• Biased graphs. I: Bias, balance, and gains
• A mathematical bibliography of signed and gain graphs and allied areas
• Signed bicyclic graphs minimizing the least Laplacian eigenvalue
• Godsil-McKay switching for mixed and gain graphs over the circle group
• Balancedness and the least Laplacian eigenvalue of some complex unit gain graphs
• On the Laplacian coefficients of signed graphs
• On the determinant of the Laplacian matrix of a complex unit gain graph
• Large regular bipartite graphs with median eigenvalue 1
• Matrices in the Theory of Signed Simple Graphs
• Properties of first eigenvectors and eigenvalues of nonsingular weighted directed graphs
• Graphs with least eigenvalue \(-2\): The star complement technique

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