Shahrood University of Technology Journal of Algebraic Systems 2345-5128 9 2 2022 01 01 DISTANCE LAPLACIAN SPECTRUM OF THE COMMUTING GRAPH OF FINITE CA-GROUPS 193 201 2192 10.22044/jas.2020.9214.1452 EN M. Torktaz Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, P.O. Box 87317–53153, Kashan, I. R. Iran. A. R. Ashrafi Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, P.O. Box 87317–53153, Kashan, I. R. Iran. Journal Article 2020 01 11 The commuting graph of a finite group $G$, $\mathcal{C}(G)$, is a simple graph with vertex set $G$ in which two vertices $x$ and $y$ are adjacent if and only if $xy = yx$. The aim of this paper is to compute the distance Laplacian spectrum and the distance Laplacian energy of the commuting graph of $CA$-groups. Distance matrix commuting graph distance Laplacian spectrum https://jas.shahroodut.ac.ir/article_2192_82158eda796ef5fb134f98973cc4c965.pdf