THE CONJUGACY CLASSES OF SOME FINITE METABELIAN GROUPS AND THEIR RELATED GRAPHS
Nor Haniza Sarmin, Ain Asyikin Ibrahim, Alia Husna Mohd Noor, Sanaa Mohamed Saleh Omer · Jurnal Teknologi · 2016
In this paper, the conjugacy classes of three metabelian groups, namely the Quasi-dihedral group, Dihedral group and Quaternion group of order 16 are computed. The obtained results are then applied to graph theory, more precisely to conjugate graph and conjugacy class graph. Some graph properties such as chromatic number, clique number, dominating number and independent number are found.