Godsil-McKay switching for mixed and gain graphs over the circle group

DOI10.1016/j.laa.2020.04.025zbMath1459.05110OpenAlexW3023448030MaRDI QIDQ2229486

Alfredo Donno, Matteo Cavaleri, Maurizio Brunetti, Francesco Belardo

Publication date: 17 February 2021

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

Full work available at URL: https://doi.org/10.1016/j.laa.2020.04.025

zbMATH Keywords

adjacency matrixHermitian matrixswitchingisospectralcomplex unit gain

Mathematics Subject Classification ID

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

Related Items (8)

Characterizations of line graphs in signed and gain graphs ⋮ On cospectrality of gain graphs ⋮ Unnamed Item ⋮ Characterizing signed mixed graphs with small eigenvalues ⋮ A switching method for constructing cospectral gain graphs ⋮ NEPS of complex unit gain graphs ⋮ Complex unit gain graphs with exactly one positive eigenvalue ⋮ Unnamed Item

Cites Work

• Spectral properties of complex unit gain graphs
• Hermitian-adjacency matrices and Hermitian energies of mixed graphs
• Constructing cospectral graphs
• Spectra of graphs
• Signed graphs
• Enumeration of cospectral graphs.
• Cospectral graphs, GM-switching and regular rational orthogonal matrices of level \(p\)
• Graph switching, 2-ranks, and graphical Hadamard matrices
• Unnamed Item

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