交换图的公共邻域Laplacian谱与无符号Laplacian谱及能量
Common neighborhood Laplacian and signless Laplacian spectra and energies of commuting graphs
AI总结：
针对若干有限非阿贝尔群的交换图，本文计算其公共邻域Laplacian与无符号Laplacian谱及能量，证明整谱性并刻画超能量情形。
摘要：
本文计算了若干有限非阿贝尔群（包括一些AC-群，以及中心商同构于$Sz(2)$、$\mathbb{Z}_p\times \mathbb{Z}_p$或$D_{2m}$的群）的交换图的公共邻域Laplacian谱、公共邻域无符号Laplacian谱及其各自能量。研究结果使我们得出结论：这些图是CNL（CNSL）整谱的。此外，我们刻画了上述群，使其交换图为CNL（CNSL）超能量的。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
