Common neighbourhood spectrum and energy of commuting conjugacy class graph

2022/08/22 by Firdous Ee Jannat, Rajat Kanti Nath, Jannat, Firdous Ee +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Chemistry · Mathematics · #DNA and Nucleic Acid Chemistry #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Synthesis and Reactivity of Heterocycles

paper · pdf · doi:10.48550/arxiv.2208.10206

openalex publication_date 2022/08/22 · openalex created_date 2022/08/24 · openalex updated_date 2026/07/28

Abstract

In this paper we compute common neighbourhood (abbreviated as CN) spectrum and 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 Z_p × Z_p, for some prime p, are CN-integral but not CN-hyperenergetic.

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• Various spectral aspects of NCCC-graphs of certain finite non-abelian groups

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