Common neighborhood Laplacian and signless Laplacian spectra and energies of commuting graphs

Firdous Ee Jannat; Rajat Kanti Nath

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arXiv · 2403.01082

Common neighborhood Laplacian and signless Laplacian spectra and energies of commuting graphs

Firdous Ee Jannat·Rajat Kanti Nath

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Abstract

In this paper, we compute common neighbourhood Laplacian spectrum, common neighbourhood signless Laplacian spectrum and their respective energies of commuting graph of some finite non-abelian groups including some AC-groups, groups whose central quotients are isomorphic to $Sz(2)$, $\mathbb{Z}_p\times \mathbb{Z}_p$ or $D_{2m}$. Our findings lead us to conclude that these graphs are CNL (CNSL)-integral. Additionally, we characterize the aforementioned groups such that their commuting graphs are CNL (CNSL)-hyperenergetic.

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Firdous Ee Jannat, Rajat Kanti Nath. 2024-03-02. Common neighborhood Laplacian and signless Laplacian spectra and energies of commuting graphs. https://arxiv.org/abs/2403.01082

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