The structure of the total graph of the ring Zn, for n = pt; 2p; pq

In this paper, we study the structure of the total graph of the ring Zn, denoted by T( (Zn)), for n = pt; 2p; pq. We also study the two subgraphs Z( (Zn)) and Reg( (Zn)), with vertices Z(Zn) and Reg(Zn), respectively, where Z(Zn) is the set of zero divisors and Reg(Zn) is the set of regular elements of Zn.

کلیدواژه ها:

Total graph ، Zero divisor of Zn ، Planarity ، Connected