Balancedness and the least Laplacian eigenvalue of some complex unit gain graphs
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Publication:2295996
DOI10.7151/dmgt.2281zbMath1433.05185OpenAlexW2996914336WikidataQ126432145 ScholiaQ126432145MaRDI QIDQ2295996
Maurizio Brunetti, Nathan Reff, Francesco Belardo
Publication date: 17 February 2020
Published in: Discussiones Mathematicae. Graph Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7151/dmgt.2281
Related Items
Principal Minors of Hermitian (Quasi-)Laplacian Matrix of Second Kind for Mixed Graphs ⋮ Unit gain graphs with two distinct eigenvalues and systems of lines in complex space ⋮ Unnamed Item ⋮ On bounds of \(A_\alpha\)-eigenvalue multiplicity and the rank of a complex unit gain graph ⋮ Characterizing signed mixed graphs with small eigenvalues ⋮ NEPS of complex unit gain graphs ⋮ Gain-line graphs via \(G\)-phases and group representations ⋮ Spectra of quaternion unit gain graphs ⋮ Bounds for the extremal eigenvalues of gain Laplacian matrices ⋮ Unnamed Item ⋮ The \(k\)-generalized Hermitian adjacency matrices for mixed graphs
Cites Work
- Spectral properties of complex unit gain graphs
- Bipartiteness and the least eigenvalue of signless Laplacian of graphs
- On weighted directed graphs
- Oriented gain graphs, line graphs and eigenvalues
- Biased graphs. I: Bias, balance, and gains
- On edge singularity and eigenvectors of mixed graphs
- A mathematical bibliography of signed and gain graphs and allied areas
- On the determinant of the Laplacian matrix of a complex unit gain graph
- Balancedness and the least eigenvalue of Laplacian of signed graphs
- Large regular bipartite graphs with median eigenvalue 1
- Properties of first eigenvectors and eigenvalues of nonsingular weighted directed graphs
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