摘要
令Z_(n)为模n的剩余类加群,单位凯莱图X_(n)是指以V(X_(n))=Z_(n)为顶点集,E(X_(n))={(a,b):a,b∈Z_(n),a-b∈U_(n)}为边集的简单无向图,其中U_(n)={a∈Z_(n):gcd(a,n)=1}。利用欧拉函数给出了单位凯莱图X_(n)及其补图X_(n)的拉普拉斯能量和无符号拉普拉斯能量。
Let Z_(n) be the residual class additive group of modul n,and the unitary Cayley graph X_(n) is a simple undirected graph with V(X_(n))=Z_(n) as its vertex set and E(X_(n))={(a,b):a,b∈Z_(n),a-b∈U_(n)}as the edge set,where U_(n)={a∈Z_(n):gcd(a,n)=1}.The Laplacian energy,signless Laplacian energy of unitary Cayley graphs and its complementary graphs are given by using Euler function.
作者
袁雨晴
YUAN Yu-qing(Department of Mathematics,Lanzhou Jiaotong University,Lanzhou 730070,China)
出处
《南阳理工学院学报》
2022年第2期124-128,共5页
Journal of Nanyang Institute of Technology
基金
国家自然科学基金项目(11561042),甘肃省自然科学基金项目(20JR5RA418)。