2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122522Let $R$ be a commutative ring with identity and let $I$ be an ideal of $R$. Let $R\Join I$ be the subring of $R\times R$ consisting of the elements $(r,r+i)$ for $r\in R$ and $i\in I$. We study the diameter and girth of the zero-divisor graph of the ring $R\Join I$.9 pagesCombinatorics05C75; 13A15text