Commuting graphs have emerged as a powerful framework for elucidating complex relationships within finite group theory. In these graphs, vertices typically represent non-central elements of a ...

For finite graphs it is well known that the third power of a connected graph is hamiltonian. ... Graph Theory, Third Edition, Springer, 2005. [2] P. Haxell, B. Seamone, J. Verstraete, Independent ...

Finite group: A group with a finite number of elements. Power graph: A graph where vertices represent elements of a group and an edge connects two vertices if one is an integral power of the other.