On determining number and metric dimension of zero-divisor graphs
| Autor: | K, Muhammed Sabeel, Paramasivam, Krishnan |
|---|---|
| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this article, explicit formulas for finding the determining number and the metric dimension of the zero-divisor graph of Z_n and non-Boolean semisimple rings are given. In the case of Boolean rings, an upper bound of the determining number and the metric dimension of zero-divisor graph is determined. Further, the determining number and the metric dimension of some important graphs other than zero-divisor graphs, are proved and the open problem by Boutin, regarding the determining number of graphs is settled. Comment: 21 pages, 7 figures |
| Databáze: | arXiv |
| Externí odkaz: |
|