TY - JOUR
AU - Mahmoud, Rabiha
AU - Ahmad Fadzil, Amira Fadina
AU - Sarmin, Nor Haniza
AU - Erfanian, Ahmad
PY - 2019/04/01
Y2 - 2024/04/24
TI - The Laplacian Energy of Conjugacy Class Graph of Some Finite Groups
JF - MATEMATIKA
JA - MATEMATIKA
VL - 35
IS - 1
SE - Articles
DO - 10.11113/matematika.v35.n1.1059
UR - https://matematika.utm.my/index.php/matematika/article/view/1059
SP - 59-65
AB - <p>Let <em>G </em>be a dihedral group andĀ its conjugacy class graph. The Laplacian energy of the graph, is defined as the sum of the absolute values of the difference between the Laplacian eigenvalues and the ratio of twice the edges number divided by the vertices number. In this research, the Laplacian matrices of the conjugacy class graph of some dihedral groups, generalized quaternion groups, quasidihedral groups and their eigenvalues are first computed. Then, the Laplacian energy of the graphs are determined.</p>
ER -