Let R be a ring with identity and M be a unitary left R-module. The intersection graph of an R-
module M, denoted by G (M), is defined to be the undirected simple graph whose vertices …

Let R be a commutative ring with identity. The prime ideal sum graph of R, denoted by PIS
(R), is a graph whose vertices are nonzero proper ideals of R and two distinct vertices I and …

Let G be a group. The intersection graph of G, denoted by Γ (G), is the graph whose vertex
set is the set of all nontrivial proper subgroups of G and two distinct vertices H and K are …

Let R be a commutative ring with identity which is not an integral domain. An ideal I of a ring
R is called an annihilating ideal if there exists r∈ R\{0} such that Ir=(0). In this paper, we …

Let R be a ring with unity. In this paper, we introduce a new graph associated with R called
the simple-intersection graph of R, denoted by GS (R). The vertices of GS (R) are the …

Let R be a commutative ring with identity, and let Z (R) be the set of zero-divisors of R. The
essential graph of R is defined as the graph EG (R) with the vertex set Z (R)*= Z (R)∖{0}, and …

Let $ R $ be a commutative ring with identity, and let $ Z (R) $ be the set of zero-divisors of $
R $. The annihilator graph of $ R $ is defined as the undirected graph $ AG (R) $ with the …

Let R be a commutative ring with identity. The intersection graph of ideals of a ring R is an
undirected simple graph denoted by Γ (R) whose vertices are in a one-to-one …

Let be a ring and be the set of all non-trivial left ideals of. The intersection graph of ideals of,
denoted by, is a graph with the vertex set and two distinct vertices and are adjacent if and …

Co-maximal Graphs of Subgroups of Groups Page 1 Canad. Math. Bull. Vol. ( ), pp. – http://dx.doi.org/.
/CMB-- ©Canadian Mathematical Society Co-maximal Graphs of Subgroups of Groups Saieed …