Yazd University Algebraic Structures and Their Applications 2382-9761 4 1 2017 02 01 A note on a graph related to the comaximal ideal graph of a commutative ring 57 76 1123 10.22034/as.2017.1123 EN Subramanian Visweswaran Department of Mathematics, Saurashtra University, Rajkot, India. Jaydeep Parejiya Department of Mathematics, Saurashtra University, Rajkot, India. Journal Article 2017 11 11  <br />‎The rings considered in this article are commutative with identity which admit at least two maximal ideals‎.  ‎This article is inspired by the work done on the comaximal ideal graph of a commutative ring‎. ‎Let R be a ring‎.  ‎We associate an undirected graph to R denoted by \mathcal{G}(R)‎,  ‎whose vertex set is the set of all proper ideals I of R such that I\not\subseteq J(R)‎, ‎where J(R) is the Jacobson radical of R  and distinct vertices I₁‎, ‎I₂are adjacent in \mathcal{G}(R) if and only if I₁∩ I₂ = I₁I₂‎.  ‎The aim of this article is to study the interplay between the graph-theoretic properties of \mathcal{G}(R) and the ring-theoretic properties of R. https://as.yazd.ac.ir/article_1123_02c4c66101785f6e69330945831e4fce.pdf