2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112717We prove that if $G$ is a $2r$-regular edge graceful $(p,q)$ graph with $(r,kp)=1$ then $kG$ is edge graceful for odd $k$. We also prove that for certain specific classes of $2r$-regular edge graceful graphs it is possible to drop the requirement that $(r,kp)=1$Combinatorics05C78text