On Distance Laplacian Spectra of Certain Finite Groups  

作　　者：Bilal Ahmad RATHER Shariefuddin PIRZADA Guo Fei ZHOU 

机构地区：[1]Department of Mathematics,University of Kashmir,Srinagar,India [2]Department of Mathematics,Nanjing University,Nanjing 210093,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2023年第4期603-617,共15页数学学报（英文版）

基　　金：Supported by SERB-DST,New Delhi,under the research project number MTR/2017/000084;the third author is supported by NSFC (Grant Nos.11931006 and 11971011)。

摘　　要：For a finite group G,the power graph P(G)is a simple connected graph whose vertex set is the set of elements of G and two distinct vertices x and y are adjacent if and only if x^(i)=y or y^(i)=x,for 2≤i,j≤n.In this paper,we obtain the distance Laplacian spectrum of power graphs of finite groups such as cyclic groups,dihedral groups,dicyclic groups,abelian groups and elementary abelian p groups.Moreover,we find the largest and second smallest distance Laplacian eigenvalue of power graphs of such groups.

关 键 词：Laplacian matrix distance Laplacian matrix finite groups power graphs 

分 类 号：O152.1[理学—数学] O157.5[理学—基础数学]