On co-maximal subgroup graph of Z_n

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)