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| Title: | Total Graphs Associated to a Commutative Ring, |
| Authors: | 4. Khalida Nazzal |
| Keywords: | : total graph, commutative ring, graphs associated to rings. |
| Issue Date: | 30-Jan-2016 |
| Publisher: | Palestine Journal of Mathematics, Vol. 5(Special Issue: 1) (2016) , 108–126 |
| Citation: | Palestine Journal of Mathematics, Vol. 5(Special Issue: 1) (2016) , 108–126 |
| Series/Report no.: | Vol. 5(Special Issue: 1);108–126 |
| Abstract: | Let R be a commutative ring with nonzero unity. Let Z(R) be the set of all zerodivisors of R. The total graph of R, denoted by T (Γ(R)), is the simple graph with vertex set R and two distinct vertices x and y are adjacent if their sum x + y ∈ Z(R). Several authors presented various generalizations for T (Γ(R)). This article surveys research conducted on T (Γ(R)) and its generalizations. A historical review of literature is given. Further properties of T (Γ(R)) are also studied. Many open problems are presented for further research. |
| Description: | Main Article |
| URI: | https://scholar.ptuk.edu.ps/handle/123456789/201 |
| Appears in Collections: | Applied science faculty |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 9 KhalidaSurvey total Graph of a Commutative Ring.pdf | Main article | 219.05 kB | Adobe PDF |  View/Open |
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