Normalized Laplacian spectrum of some subdivision-joins and \(R\)-joins of two regular graphs

DOI10.1016/j.akcej.2017.10.006zbMath1403.05084OpenAlexW2767851607MaRDI QIDQ1713612

Pratima Panigrahi, Arpita Das

Publication date: 25 January 2019

Published in: AKCE International Journal of Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.akcej.2017.10.006

zbMATH Keywords

normalized Laplacian matrixsubdivision-edge joinsubdivision-vertex join\(R\)-edge join\(R\)-vertex join

Mathematics Subject Classification ID

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

Related Items

Independence number and the normalized Laplacian eigenvalue one, Unnamed Item

Cites Work

• The spectrum and the signless Laplacian spectrum of coronae
• Spectra of coronae
• A note on the normalized Laplacian spectra
• A construction of cospectral graphs for the normalized Laplacian
• On the spectrum of the normalized graph Laplacian
• Which graphs are determined by their spectrum?
• The normalized Laplacian spectrum of subdivisions of a graph
• Resistance distance and Kirchhoff index of \(R\)-vertex join and \(R\)-edge join of two graphs
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