Eulerian Zero-Divisor Graphs

Abstract

In this article, we characterize for which finite commutative rings $R$, The zero-divisor graph $\mathrm{\Gamma }(R)$,The line graph $L(\mathrm{\Gamma }(R))$, The complement graph $\overline{\mathrm{\Gamma }(R)}$, and The line graph for the complement graph $L(\overline{\mathrm{\Gamma }(R)})$.