@article {
author = {Visweswaran, S. and Vadhel, P.},
title = {SOME RESULTS ON THE COMPLEMENT OF THE INTERSECTION GRAPH OF SUBGROUPS OF A FINITE GROUP},
journal = {Journal of Algebraic Systems},
volume = {7},
number = {2},
pages = {105-130},
year = {2020},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2018.5917.1296},
abstract = {Let 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.},
keywords = {Complement of the intersection graph of subgroups of a finite group,finite abelian group,connected graph,girth of a graph},
url = {https://jas.shahroodut.ac.ir/article_1583.html},
eprint = {https://jas.shahroodut.ac.ir/article_1583_a9bb297705f77d5027f78b0e6762e92e.pdf}
}