Indecomposable Laplacian integral graphs

DOI10.1016/j.laa.2007.09.025zbMath1134.05081OpenAlexW2019851481MaRDI QIDQ2477535

Russell Merris, Robert D. Grone

Publication date: 14 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.09.025

zbMATH Keywords

Laplacian spectrum

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

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Cites Work

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• Completion of Laplacian integral graphs via edge addition
• Constructably Laplacian integral graphs
• Laplacian integral graphs in \(S(a, b)\)
• Laplacian graph eigenvectors
• Degree maximal graphs are Laplacian integral
• Enumeration of cospectral graphs.
• A survey on integral graphs