On the nonorientable genus of the generalized unit and unitary Cayley graphs of a commutative ring

Mahdi Reza Khorsandi, Seyed Reza Musawi

Let $R$ be a commutative ring and let $U(R)$ be multiplicative group of unit elements of $R$. In 2012, Khashyarmanesh et al. defined generalized unit and unitary Cayley graph, $Γ(R…