Let R be a finite commutative ring with nonzero identity and U (R) be the set of all units of R.
The graph Γ is the simple undirected graph with vertex set R in which two distinct vertices x …

Let R be a finite commutative ring with nonzero identity and U (R) be the set of all units of R.
The graph Γ is the simple undirected graph with vertex set R in which two distinct vertices x …

Let $ R $ be a finite ring with identity. The unit graph (unitary Cayley graph) of $ R $ is the
graph with vertex set $ R $, where two distinct vertices $ x $ and $ y $ are adjacent exactly …

Let R be a finite commutative ring with nonzero identity and U (R) be the set of all units of R.
The graph Γ= Γ (R, U (R), U (R)) Γ= Γ (R, U (R), U (R)) is the simple undirected graph with …

The Rough Ideal based Rough Edge Cayley Graph is defined on the Rough semiring
(T,∆,∇) along with its Rough Ideal J and this graph consists of 2n-m3m elements. The …

Let R be a commutative ring and U (R) the multiplicative group of unit elements of R. In
2012, Khashyarmanesh et al. defined the generalized unit and unitary Cayley graph, Γ (R …

Let $ R $ be a ring (not necessarily commutative) with nonzero identity. We define $\Gamma
(R) $ to be the graph with vertex set $ R $ in which two distinct vertices $ x $ and $ y $ are …