This article presents a survey of results consisting of the Wiener index of graphs associated
with commutative rings. In particular, we focus on zero-divisor graphs, unit graphs, total …

Let R be a ring with non-zero identity. The unit graph of R, denoted by G (R), is an
undirected graph with all the elements of R as vertices and where distinct vertices x, y are …

Let R be a finite commutative ring with non zero identity. The unit graph of R denoted by G
(R) is the graph obtained by setting all the elements of R to be the vertices of a graph and …

Let R be a commutative ring with unity. Ashrafi et al.[3] introduced the unit graph G (R) of a
ring R whose vertices are the elements of R and two distinct vertices x and y are adjacent if …

Let R be a finite commutative ring with nonzero identity. The unit graph of R is the graph in
which the vertex set is R, and two distinct vertices x and y are adjacent if and only if x+ y is a …

Let q be a prime power such that q≡ 1 (mod 4). The Paley graph of order q is the graph with
vertex set as the finite field F q and edges defined as, ab is an edge if and only if ab is a non …

Let be a commutative ring with unity and be the set of all units of. The unit graph of R,
denoted by, is the (undirected) graph with vertex set and two distinct vertices and in are …

Let R be a finite commutative ring. We define a co-unit graph, associated to a ring R,
denoted by Gnu (R) with vertex set V (Gnu (R))= U (R), where U (R) is the set of units of R …

Let R be a commutative ring with a non-zero identity. The unit graph of R, denoted by G (R),
is a simple graph obtained by setting all the elements of R to be the vertices and two distinct …

A unit graph of a ring R is a graph with vertex set R and two distinct vertices x and y are
adjacent if and only if y x+ is a unit of R. A subset C of the vertex set in a graph Γ is called a …