@article {
author = {Visweswaran, S. and Parejiya, Jaydeep},
title = {Some results on a supergraph of the comaximal ideal graph of a commutative ring},
journal = {Communications in Combinatorics and Optimization},
volume = {3},
number = {2},
pages = {151-172},
year = {2018},
publisher = {Azarbaijan Shahid Madani University},
issn = {2538-2128},
eissn = {2538-2136},
doi = {10.22049/cco.2018.26132.1079},
abstract = {Let $R$ be a commutative ring with identity such that $R$ admits at least two maximal ideals. In this article, we associate a graph with $R$ whose vertex set is the set of all proper ideals $I$ of $R$ such that $I$ is not contained in the Jacobson radical of $R$ and distinct vertices $I$ and $J$ are joined by an edge if and only if $I$ and $J$ are not comparable under the inclusion relation. The aim of this article is to study the interplay between the graph-theoretic properties of this graph and the ring-theoretic properties of the ring $R$.},
keywords = {Chained ring,Bipartite graph,Split graph,Complemented graph},
url = {http://comb-opt.azaruniv.ac.ir/article_13778.html},
eprint = {http://comb-opt.azaruniv.ac.ir/article_13778_c5b20d65e49415f10224ec5da091faf6.pdf}
}