TY - JOUR ID - 97094 TI - Various Energies of Commuting Graphs of Finite Nonabelian Groups JO - Khayyam Journal of Mathematics JA - KJM LA - en SN - AU - Dutta, Parama AU - Bagchi, Biswadeep AU - Nath, Rajat Kanti AD - Department of Mathematical Sciences, Tezpur University, Napaam 784028, Sonitpur, Assam, India. Y1 - 2020 PY - 2020 VL - 6 IS - 1 SP - 27 EP - 45 KW - Commuting graph KW - spectrum KW - Energy KW - finite group DO - 10.22034/kjm.2019.97094 N2 - The commuting graph of a finite nonabelian group  $G$ is a simple undirected graph, denoted by $\Gamma_G$, whose vertex set is the noncentral elements of $G$ and two distinct vertices $x$ and $y$ are adjacent if and only if $xy = yx$. In  this paper, we compute energy,  Laplacian energy, and signless Laplacian energy of  $\Gamma_G$ for various  families of finite nonabelian groups and analyze their values graphically. Our computations show that the conjecture posed in [MATCH Commun. Math. Comput. Chem. 59, (2008) 343-354 ] holds for the commuting graph of some families of finite groups. UR - https://www.kjm-math.org/article_97094.html L1 - https://www.kjm-math.org/article_97094_19bea7eef79e328fcdc7ad5118452748.pdf ER -