@article {
author = {Shaveisi, Farzad},
title = {The central vertices and radius of the regular graph of ideals},
journal = {Transactions on Combinatorics},
volume = {6},
number = {4},
pages = {1-13},
year = {2017},
publisher = {University of Isfahan},
issn = {2251-8657},
eissn = {2251-8665},
doi = {10.22108/toc.2017.21472},
abstract = {The 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.},
keywords = {Arc,artinian ring,eccentricity,radius,regular digraph},
url = {https://toc.ui.ac.ir/article_21472.html},
eprint = {https://toc.ui.ac.ir/article_21472_57a7aea214c4516a524744b78f00943a.pdf}
}