A cospectral family of graphs for the normalized Laplacian found by toggling

DOI10.1016/j.laa.2016.06.033zbMath1343.05091arXiv1507.01928OpenAlexW2964300105MaRDI QIDQ306482

Kristin Heysse, Steve Butler

Publication date: 31 August 2016

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

Full work available at URL: https://arxiv.org/abs/1507.01928

zbMATH Keywords

characteristic polynomialcospectral graphsnormalized Laplaciantoggling

Mathematics Subject Classification ID

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

Related Items (7)

The normalized distance Laplacian ⋮ The normalized Laplacians on both \(k\)-triangle graph and \(k\)-quadrilateral graph with their applications ⋮ A geometric construction of isospectral magnetic graphs ⋮ On the normalized Laplacians with some classical parameters involving graph transformations ⋮ Complete multipartite graphs that are determined, up to switching, by their Seidel spectrum ⋮ A family of graphs that are determined by their normalized Laplacian spectra ⋮ Normalized Laplacian spectrum of complete multipartite graphs

Cites Work

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• Constructing cospectral graphs
• A construction of cospectral graphs for the normalized Laplacian
• Handbook of Linear Algebra
• Using twins and scaling to construct cospectral graphs for the normalized Laplacian

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