University of IsfahanTransactions on Combinatorics2251-86576420171201The central vertices and radius of the regular graph of ideals1132147210.22108/toc.2017.21472ENFarzadShaveisiRazi UniversityJournal Article20161017The regular graph of ideals of the commutative ring $R$, denoted by ${\Gamma_{reg}}(R)$, is a graph whose vertex set is the set of all non-trivial ideals of $R$ and two distinct vertices $I$ and $J$ are adjacent if and only if either $I$ contains a $J$-regular element or $J$ contains an $I$-regular element. In this paper, it is proved that the radius of $\Gamma_{reg}(R)$ equals $3$. The central vertices of $\Gamma_{reg}(R)$ are determined, too.https://toc.ui.ac.ir/article_21472_57a7aea214c4516a524744b78f00943a.pdf