A complete characterization of bidegreed split graphs with four distinct signless Laplacian eigenvalues

DOI10.1016/j.laa.2021.08.006zbMath1477.05113OpenAlexW3195090320MaRDI QIDQ1979376

Guanbang Song, Guifu Su, Huichao Shi

Publication date: 2 September 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.2021.08.006

zbMATH Keywords

eigenvaluessplit graphcombinatorial designsignless Laplacian matrixbidegreed graph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Connectivity (05C40)

Related Items (1)

Complete characterization of the bidegreed split graphs with three or four distinct \(A_{\alpha}\)-eigenvalues

Cites Work

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• Spectra of graphs
• Schur complements and statistics
• Variations on a theorem of Ryser
• The toughness of split graphs
• On split graphs with four distinct eigenvalues
• Characterization of split graphs with at most four distinct eigenvalues
• Combinatorial Designs
• Split non-threshold Laplacian integral graphs
• Vulnerability parameters of split graphs

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