Arguello, Anahy Santiago; Juan Jose Monteellano-Ballesteros and Peter F. Stadler
The undirected power graph G(S) of a semigroup S is an undirected graph with vertex set S where two vertices u, v is an element of S are adjacent if and only if there is a positive integer In such that u(m) = v or v(m) = u. Here, we investigate the power graphs of a class of abelian groups and answer, in this case, the question whether or not the power graph is Hamiltonian.