On some classes of cycles-related $\mathrm{\Gamma }$-harmonious graphs

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