… the strong metric dimension of zero-divisor graph Γ(R) associated to a ring R. This is done by
… resolving graph Gsr. We find the strong metric dimension of zero-divisor graphs of the ring …

… graphs I will chiefly discuss are the power graph, enhanced power graph, deep commuting
graph, commuting graph, and non… to other algebraic structures such as semigroups and rings. …

… a way to visualize the graph, but an important mathematical tool… But even if there is no geometry
directly connected to the graph… of such connections between graph theory and geometry: …

… Fischer groups, cyclotomic graphs, two-weight codes and graphs related to combinatorial …
of rank 3 graphs, including some new constructions. More than 100 graphs are treated …

… ring R with identity 1 = 0, the zero divisor graph Γ(R) is a simple connected graph having …
We find the signless Laplacian spectrum of the zero divisor graphs Γ(Zn) for various values …

… The zero divisor graph r(R) of a commutative ring R is the graph whose vertex set … graph
r(Zn) is of order n − φ(n) − 1, where φ is Euler’s totient function and Zn is the integer modulo ring…

We study the Laplacian eigenvalues of the zero divisor graph Γ ( Z n ) of the ring Z n and
prove that Γ ( Z p t ) is Laplacian integral for every prime p and positive integer t ≥ 2 . We also …

… ∧(E) (ie, 1-cochains) are well known in graph theory and often called edge flows. While the
graphs in this article are always undirected and unweighted, a directed graph is simply one …

… products on the graph side and … the graph do its different endomorphism sets coincide? We
also investigate questions such as how the monoids of composed graphs (eg, product graphs…

… new graph associated to a commutative ring which we call annihilator-inclusion ideal graph.
… then we classify all commutative rings whose annihilator-inclusion ideal graphs are stars or …