Distance Laplacian spectral ordering of sun type graphs

Rather, Bilal A., Ganie, Hilal A. and Shang, Yilun (2023) Distance Laplacian spectral ordering of sun type graphs. Applied Mathematics and Computation, 445. p. 127847. ISSN 0096-3003

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Official URL: https://doi.org/10.1016/j.amc.2023.127847


Let G be a simple, connected graph of order n. Its distance Laplacian energy DLE(G) is given by [Formula presented], where ρ1L≥ρ2L≥⋯≥ρnL are the distance Laplacian eigenvalues and W(G) is the Wiener index of G. Distance Laplacian eigenvalues of sun and partial sun graphs have been characterized. We order the partial sun graphs by using their second largest distance Laplacian eigenvalue. Moreover, the distance Laplacian energy of sun and partial sun graphs have been derived in this paper. These graphs are also ordered by using their distance Laplacian energies.

Item Type: Article
Subjects: G100 Mathematics
G400 Computer Science
Department: Faculties > Engineering and Environment > Computer and Information Sciences
Depositing User: Elena Carlaw
Date Deposited: 09 Feb 2023 14:45
Last Modified: 19 Jan 2024 03:30
URI: https://nrl.northumbria.ac.uk/id/eprint/51367

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