“…The work of Beck is further continued by Anderson and Naseer in [6] and, for other graph theoretical aspects, by Anderson and Livingston in [5]. While they focus just on the zero-divisors of the rings, there are many other kinds of graphs associated to ring, some of which are extensively studied, see for example [1,2,3,4,5,6,7,9,10,11,14,20].…”