Eulerian Zero-Divisor Graphs

Emad Abu Osba1, Hasan Al-Ezeh 2
1University of Jordan, Faculty of Science, Math. Department, Amman 11942, Jordan.
2University of Jordan, Faculty of Science, Math. Department, Amman 11942, Jordan.

Abstract

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