Yazd University Algebraic Structures and Their Applications 2382-9761 12 1 2025 02 01 On intersection minimal ideal graph of a ring 1 9 3427 10.22034/as.2024.18749.1566 EN Bikash Barman Department of Mathematics, Cotton University, Guwahati-781001, India Kukil Kalpa Rajkhowa Department of Mathematics, Cotton University, Guwahati-781001, India 0000-0001-7913-1916 Journal Article 2022 07 18 For a ring $R$, the intersection minimal ideal graph, denoted by $ \wedge(R) $, is a simple undirected graph whose vertices are proper non-zero (right) ideals of $R$ and any two distinct vertices $I_{1}$ and $I_{2}$ are adjacent if and only if $ I_{1} \cap I_{2}$ is a minimal ideal of $R$. In this article, we explore connectedness, clique number, split character, planarity, independence number, domination number of $\wedge(R)$.<br />  https://as.yazd.ac.ir/article_3427_1fbfbe230c8a0f90ad559a005682b018.pdf