Azarbaijan Shahid Madani UniversityCommunications in Combinatorics and Optimization2538-21283220181201Some results on a supergraph of the comaximal ideal graph of a commutative ring1511721377810.22049/cco.2018.26132.1079ENS.VisweswaranSaurashtra UniversityJaydeepParejiyaDepartment of Mathematics, Saurashtra University, Rajkot, Gujarat, India.Journal Article20180122Let $R$ 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 $R$.http://comb-opt.azaruniv.ac.ir/article_13778_c5b20d65e49415f10224ec5da091faf6.pdf