On cospectrality of gain graphs
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Publication:2148848
DOI10.1515/spma-2022-0169zbMath1489.05092arXiv2111.12428OpenAlexW3216407105MaRDI QIDQ2148848
Alfredo Donno, Matteo Cavaleri
Publication date: 24 June 2022
Published in: Special Matrices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.12428
unitary representationgain graphswitching equivalence\(\pi\)-cospectrality\(G\)-cospectralityswitching isomorphism
Ordinary representations and characters (20C15) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Signed and weighted graphs (05C22)
Related Items (3)
Incidence matrices and line graphs of mixed graphs ⋮ A switching method for constructing cospectral gain graphs ⋮ Unnamed Item
Cites Work
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- Spectral properties of complex unit gain graphs
- Constructing cospectral graphs
- Balance in gain graphs - a spectral analysis
- Biased graphs. I: Bias, balance, and gains
- Spektren endlicher Grafen
- Matrix convolution operators on groups
- Signed graphs
- Which graphs are determined by their spectrum?
- Signed graphs cospectral with the path
- On switching classes of graphs
- A group representation approach to balance of gain graphs
- Characterizations of line graphs in signed and gain graphs
- Gain-line graphs via \(G\)-phases and group representations
- Godsil-McKay switching for mixed and gain graphs over the circle group
- Spectra of quaternion unit gain graphs
- Spectral characterizations of signed lollipop graphs
- On the notion of balance of a signed graph
- Matrices in the Theory of Signed Simple Graphs
- A Matrix Application of Newton's Identities
- Spectral criterion for cycle balance in networks
- Characterizations of signed graphs
- Constructing cospectral signed graphs
- On sign-symmetric signed graphs
- On the adjacency matrix of a complex unit gain graph
- Open problems in the spectral theory of signed graphs
- Connected signed graphs L-cospectral to signed ∞-graphs
- Homomorphisms of Signed Graphs
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