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 …

For a lattice L we associate a graph called annihilator ideal graph of L, it is denoted by
AnnIG (L), is a graph with vertex set all ideals of L having nontrivial annihilators, and two …

Let R be a commutative ring with identity, and let Z (R) be the set of zero-divisors of R. The
generalized zero-divisor graph of R is defined as the graph Γg (R) with the vertex set Z …

Let R be a commutative ring with identity and A (R) be the set of ideals with nonzero
annihilator. The strongly annihilating-ideal graph of R is defined as the graph SAG (R) with …

Let $ R $ be a commutative ring with identity, and let $ Z (R) $ be the set of zero-divisors of $
R $. The extended zero-divisor graph of $ R $ is the undirected (simple) graph $\Gamma'(R) …

Research on graph associated with a finite algebraic structure has attracted many attentions.
On the other hand, eccentric connectivity index is an interesting topic and many studies have …

Let R be a commutative ring with identity and A (R) A (R) be the set of ideals with non-zero
annihilator. The strongly annihilating-ideal graph of R is defined as the graph SAG (R) SAG …

Let R be a commutative ring with unity. The annihilator ideal graph of R, denoted by ΓAnn
(R), is a graph whose vertices are all non-trivial ideals of R and two distinct vertices I and J …

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 graph AG (R) with the vertex set Z (R)∗= Z (R)∖{0} …

Let $\mathbb {Z} _ {n} $ be the ring of integers modulo $ n $. The unitary Cayley graph of
$\mathbb {Z} _ {n} $ is defined as the graph $ G (\mathbb {Z} _ {n}) $ with the vertex set …