>
Fa   |   Ar   |   En
   spectral aspects of commuting conjugacy class graph of finite groups  
   
نویسنده nath rajat kanti ,bhowal parthajit
منبع journal of algebraic structures and their applications - 2021 - دوره : 8 - شماره : 2 - صفحه:67 -118
چکیده    The commuting conjugacy class graph of a non-abelian group g, denoted by ccc(g), is a simple undirected graph whose vertex set is the set of conjugacy classes of the non-central elements of g and two distinct vertices xg and yg are adjacent if there exists some elements x ′ ∈ xg and y ′ ∈ yg such that x ′ y ′ = y ′ x ′. in this paper we compute various spectra and energies of commuting conjugacy class graph of the groups d2n,q4m,u(n,m), v8n and sd8n. our computation shows that ccc(g) is super integral for these groups. we compare various energies and as a consequence it is observed that ccc(g) satisfy e-le conjecture of gutman et al. we also provide negative answer to a question posed by dutta et al. comparing laplacian and signless laplacian energy. finally, we conclude this paper by characterizing the above mentioned groups g such that ccc(g) is hyperenergetic, l-hyperenergetic or qhyperenergetic.
کلیدواژه commuting conjugacy class graph ,energy ,finite group ,spectrum
آدرس tezpur university, department of mathematical sciences, india, tezpur university, department of mathematical sciences, india
پست الکترونیکی bhowal.parthajit8@gmail.com
 
     
   
Authors
  
 
 

Copyright 2023
Islamic World Science Citation Center
All Rights Reserved