Name
Abstract | ||
|---|---|---|
Let R be a finite commutative ring with identity. The co-maximal graph Gamma(R) is a graph with vertices as elements of R, where two distinct vertices a and b are adjacent if and only if Ra + Rb = R. Also, Gamma(2)(R) is the subgraph of Gamma(R) induced by non-unit elements and Gamma(2)'(R) = Gamma(2)(R) \ J(R) where J(R) is Jacobson radical. In this paper, we characterize the rings for which the graphs Gamma(R) and L(Gamma(R)) are planar. Also, we characterize rings for which Gamma(2)'(R), Gamma(R) and L(Gamma(R)) are outerplanar along with some domination parameters on co-maximal graph. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1142/S021926592050005X | JOURNAL OF INTERCONNECTION NETWORKS |
Keywords | DocType | Volume |
Finite commutative ring,maximal ideal,co-maximal graph | Journal | 20 |
Issue | ISSN | Citations |
2 | 0219-2659 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Deepa Sinha | 1 | 1 | 5.44 |
| Anita Kumari Rao | 2 | 0 | 0.68 |