%0 Journal Article
%T Some results on a supergraph of the comaximal ideal graph of a commutative ring
%J Communications in Combinatorics and Optimization
%I Azarbaijan Shahid Madani University
%Z 2538-2128
%A Visweswaran, S.
%A Parejiya, Jaydeep
%D 2018
%\ 12/01/2018
%V 3
%N 2
%P 151-172
%! Some results on a supergraph of the comaximal ideal graph of a commutative ring
%K Chained ring
%K Bipartite graph
%K Split graph
%K Complemented graph
%R 10.22049/cco.2018.26132.1079
%X 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 $R$.
%U http://comb-opt.azaruniv.ac.ir/article_13778_c5b20d65e49415f10224ec5da091faf6.pdf