COMMON NEIGHBOURHOOD SPECTRUM AND ENERGY OF COMMUTING CONJUGACY CLASS GRAPH | ||
| Journal of Algebraic Systems | ||
| دوره 12، شماره 2، فروردین 2025، صفحه 301-326 اصل مقاله (194.63 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2023.12263.1650 | ||
| نویسندگان | ||
| Firdous Ee Jannat؛ Rajat Kanti Nath* | ||
| Department of Mathematical Sciences, Tezpur University, Napaam-784028, Sonitpur, India. | ||
| چکیده | ||
| In this paper, we compute the common neighbourhood (abbreviated as CN) spectrum and the common neighbourhood energy of commuting conjugacy class graph of several families of finite non-abelian groups. As a consequence of our results, we show that the commuting conjugacy class graphs of the groups $D_{2n}$, $T_{4n}$, $SD_{8n}$, $U_{(n,m)}$, $U_{6n}$, $V_{8n}$, $G(p, m, n)$ and some families of groups whose central quotient is isomorphic to $D_{2n}$ or $\mathbb{Z}_p \times \mathbb{Z}_p$, for some prime $p$, are CN-integral but not CN-hyperenergetic. | ||
| کلیدواژهها | ||
| Common neighborhood؛ Spectrum؛ Energy؛ Conjugacy class graph | ||
| مراجع | ||
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