University of Guilan Journal of Algebra and Related Topics 2345-3931 10 2 2022 12 01 Co-intersection graph of subacts of an act 1 12 5647 10.22124/jart.2022.20275.1299 EN A. Delfan Department of Mathematics, Khorramabad Branch, Islamic Azad University, Iran 0000-0002-5014-1173 H. Rasouli Department of Mathematics, Science and Research Branch , Islamic Azad University, Tehran, Iran K. Moradipour Department of Mathematics, Technical and Vocational University (TVU), Tehran, Iran Journal Article 2021 08 02 In this paper, we define the co-intersection graph $G(A)$ of an \(S\)-act \(A\) which is a graph whose vertices are non-trivial subacts of \(A\) and two  distinct  vertices \(B_1\) and \( B_2\) are adjacent if \(B_1 \cup B_2\neq A\).  We investigate the relationship between the algebraic properties of an  \(S\)-act \(A\) and the properties of the graph $G(A)$.<br />  S -act co-intersection graph subact https://jart.guilan.ac.ir/article_5647_96633dae69bdce18231cf3193e0cbdb9.pdf