Generalized zero-divisor graph of $\ast$-rings

Anita Lande, Anil Khairnar

Let $R$ be a ring with involution $\ast$ and $Z^{\ast }(R)$ denotes the set of all non-zero zero-divisors of $R$. We associate a simple (undirected) graph ${\Gamma }^{\prime }(R)$ with vertex set $Z^{\ast }(R)$ a…