Clean Graphs and Idempotent Graphs over Finite Rings: An Approach Based on Z_n

Felicia Servina Djuang, Indah Emilia Wijayanti, Yeni Susanti

Let $R$ be a finite ring with identity. The idempotent graph $I(R)$ is the graph whose vertex set consists of the non-trivial idempotent elements of $R$, where two distinct vertice…