On Hadamard diagonalizable graphs

DOI10.1016/j.laa.2011.03.033zbMath1221.05228OpenAlexW1967520751MaRDI QIDQ551311

Yong-Cai Geng, Sumit K. Garg

Publication date: 15 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.03.033

zbMATH Keywords

graphadjacency matrixHadamard matrixLaplacian matrixcographHadamard diagonalizable graph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items

Balancedly splittable Hadamard matrices ⋮ Hadamard diagonalizable graphs of order at most 36 ⋮ Perfect quantum state transfer using Hadamard diagonalizable graphs ⋮ Co-eigenvector graphs ⋮ Complex Hadamard diagonalisable graphs ⋮ Laplacian spectra of cographs: a twin reduction perspective ⋮ Weakly Hadamard diagonalizable graphs ⋮ Invertibility of graph translation and support of Laplacian Fiedler vectors ⋮ Fundamentals of fractional revival in graphs ⋮ The EKR-module property of pseudo-Paley graphs of square order

Cites Work

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• The Laplacian Spectrum of a Graph
• Fast generation of regular graphs and construction of cages
• A survey of graph laplacians
• On graphs whose Laplacian matrices have distinct integer eigenvalues

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