Let S be a commutative ring with unity (CRU) and W(S) be the set of annihilating-ideals of S. The strong annihilating-ideal graph of S, denoted by SAG(S), is an undirected graph with vertex set W(S)*. Two vertices m and n are adjacent if and only if m ? Ann(n) ? (0) and n ? Ann(m) ? (0). In this paper, we first characterize the Artinian commutative rings S for which SAG(S) has outerplanarity index 2. Then, we classify Artinian commutative rings S for which SAG(S) is double toroidal or Klein-bottle. Finally, we determine the book thickness of SAG(S) for genus at most one.
Building similarity graph...
Analyzing shared references across papers
Loading...
Mohd Raza
Husain Alhazmi
Filomat
King Abdulaziz University
Building similarity graph...
Analyzing shared references across papers
Loading...
Raza et al. (Wed,) studied this question.
www.synapsesocial.com/papers/699010df2ccff479cfe5716d — DOI: https://doi.org/10.2298/fil2518331r