Signless Laplacian energy, Distance Laplacian Energy and Distance Signless Laplacian Spectrum of Unitary Addition Cayley Graphs

TL;DR

This paper investigates spectral properties such as energy and eigenvalues of various Laplacian matrices in unitary addition Cayley graphs, providing bounds and explicit calculations for these graph spectra.

Contribution

It introduces new bounds and explicit spectral calculations for signless Laplacian and distance Laplacian matrices in unitary addition Cayley graphs.

Findings

Bounds for signless Laplacian energy derived

Explicit eigenvalues for distance Laplacian spectrum obtained

Spectral properties characterized for the first time in this class of graphs

Abstract

In this paper we compute bounds for signless Laplacian energy, distance signless Laplacian eigenvalues and signless Laplacian energy of unitary addition Cayley graph G_{n}. We also obtain distance Laplacian eigenvalues and distance Laplacian energy of G_{n}.