Distance Laplacian spectral ordering of sun type graphs

Bilal A. Rather, Hilal Ahmad Ganie, Yilun Shang*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number127847
JournalApplied Mathematics and Computation
Volume445
Early online date19 Jan 2023
DOIs
Publication statusPublished - 15 May 2023

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