Cospectral graphs and regular orthogonal matrices of level 2

zbMath1253.05092arXiv1412.2945MaRDI QIDQ456333

Aida Abiad, Willem H. Haemers

Publication date: 24 October 2012

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.2945

zbMATH Keywords

switchingcospectral graphsorthogonal matrices

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Orthogonal matrices (15B10)

Related Items (12)

Cospectral mates for generalized Johnson and Grassmann graphs ⋮ On a theorem of Godsil and McKay concerning the construction of cospectral graphs ⋮ Cospectral graphs, GM-switching and regular rational orthogonal matrices of level \(p\) ⋮ Cospectral constructions for several graph matrices using cousin vertices ⋮ A note on non-\(\mathbb{R}\)-cospectral graphs ⋮ Descriptive complexity of graph spectra ⋮ An arithmetic criterion for graphs being determined by their generalized \(A_\alpha \)-spectra ⋮ The smallest pair of cospectral cubic graphs with different chromatic indexes ⋮ Constructing families of cospectral regular graphs ⋮ Generalized cospectral graphs with and without Hamiltonian cycles ⋮ Constructing cospectral graphs via regular rational orthogonal matrices with level two ⋮ Main Q-eigenvalues and generalized Q-cospectrality of graphs

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