The second smallest normalized Laplacian eigenvalue of unicyclic graphs

DOI10.1007/s40314-024-02817-0MaRDI QIDQ6569083

Enying Liu, Jian Xi Li, Wai Chee Shiu, Ji-Ming Guo

Publication date: 8 July 2024

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

characteristic polynomialunicyclic graphnormalized Laplacian eigenvaluenormalized Laplacian matrix

Mathematics Subject Classification ID

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

Cites Work

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• A note on the normalized Laplacian spectra
• Interlacing eigenvalues on some operations of graphs
• A short proof of interlacing inequalities on normalized Laplacians
• The effect on the second smallest eigenvalue of the normalized Laplacian of a graph by grafting edges
• An Interlacing Result on Normalized Laplacians
• On the Laplacian, signless Laplacian and normalized Laplacian characteristic polynomials of a graph

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