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Distance Laplacian spectral ordering of sun type graphs

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  • Rather, Bilal A.
  • Ganie, Hilal A.
  • Shang, Yilun

Abstract

Let G be a simple, connected graph of order n. Its distance Laplacian energy DLE(G) is given by DLE(G)=∑i=1n|ρiL−2W(G)n|, 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.

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  • Rather, Bilal A. & Ganie, Hilal A. & Shang, Yilun, 2023. "Distance Laplacian spectral ordering of sun type graphs," Applied Mathematics and Computation, Elsevier, vol. 445(C).
    • Handle: RePEc:eee:apmaco:v:445:y:2023:i:c:s0096300323000164
    DOI: 10.1016/j.amc.2023.127847
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    References listed on IDEAS

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    1. Abdollah Alhevaz & Maryam Baghipur & Kinkar Ch. Das & Yilun Shang, 2020. "Sharp Bounds on (Generalized) Distance Energy of Graphs," Mathematics, MDPI, vol. 8(3), pages 1-20, March.
    2. Maryam Baghipur & Modjtaba Ghorbani & Hilal A. Ganie & Yilun Shang, 2021. "On the Second-Largest Reciprocal Distance Signless Laplacian Eigenvalue," Mathematics, MDPI, vol. 9(5), pages 1-12, March.
    3. Ganie, Hilal A., 2021. "On the distance Laplacian energy ordering of a tree," Applied Mathematics and Computation, Elsevier, vol. 394(C).
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    Cited by:

    1. Bilal Ahmad Rather & Hilal A. Ganie & Kinkar Chandra Das & Yilun Shang, 2024. "The General Extended Adjacency Eigenvalues of Chain Graphs," Mathematics, MDPI, vol. 12(2), pages 1-16, January.

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