University of Isfahan International Journal of Group Theory 2251-7650 11 4 2022 12 01 On co-maximal subgroup graph of $Z_n$ 221 228 25995 10.22108/ijgt.2021.129788.1732 EN Manideepa Saha Department of Mathematics, Presidency University, Kolkata Sucharita Biswas Department of Mathematics, Presidency University, Kolkata Angsuman Das Department of Mathematics, Presidency University, Kolkata Journal Article 2021 08 06 The co-maximal subgroup graph $\Gamma(G)$ of a group $G$ is a graph whose vertices are non-trivial proper subgroups of $G$ and two vertices $H$ and $K$ are adjacent if $HK = G$‎. ‎In this paper‎, ‎we study and characterize various properties like diameter‎, ‎domination number‎, ‎perfectness‎, ‎hamiltonicity‎, ‎etc‎. ‎of $\Gamma(\mathbb{Z}_n)$ hamiltonicity isomorphism perfect graph https://ijgt.ui.ac.ir/article_25995_9a3065467c1401001ec336c7b69f0694.pdf