On some classes of cycles-related Γ-harmonious graphs

A graph $G(V,E)$ is Γ-harmonious when there is an injection f from V to an Abelian group Γ such that the induced edge labels defined as $w(xy)=f(x)+f(y)$ form a bijection from E to Γ. We study Γ-harmonious labelings of several cycles-related classes of graphs, including Dutch windmills, generalized prisms, generalized closed and open webs, and superwheels.