Shahrood University of TechnologyJournal of Algebraic Systems2345-51287220200101SOME RESULTS ON THE COMPLEMENT OF THE INTERSECTION GRAPH OF SUBGROUPS OF A FINITE GROUP105130158310.22044/jas.2018.5917.1296ENS. VisweswaranDepartment of Mathematics, Saurashtra University P.O.Box 360 005, Rajkot, India.P. VadhelDepartment of Mathematics, Saurashtra University P.O.Box 360 005, Rajkot, India.Journal Article20170619Let G be a group. Recall that the intersection graph of subgroups of G is an undirected graph whose vertex set is the set of all nontrivial subgroups of G and distinct vertices H,K are joined by an edge in this graph if and only if the intersection of H and K is nontrivial. The aim of this article is to investigate the interplay between the group-theoretic properties of a finite group G and the graph-theoretic properties of the complement of the intersection graph of subgroups of G.https://jas.shahroodut.ac.ir/article_1583_a9bb297705f77d5027f78b0e6762e92e.pdf