Mudaber, Mohammad Hassan and Sarmin, Nor Haniza and Gambo, Ibrahim (2022) Non-trivial subring perfect codes in unit graph of Boolean rings. Malaysian Journal of Fundamental and Applied Sciences, 18 (3). pp. 374-382. ISSN 2289-599X
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Official URL: http://dx.doi.org/10.11113/mjfas.v18n3.2503
Abstract
The aim of this paper is to investigate the non-trivial subring perfect codes in a unit graph associated with the Boolean rings. We prove a subring perfect code of size 2n-1, where n 3 2, in the unit graphs associated with the finite Boolean rings R . Moreover, we give a necessary and sufficient condition for a subring of an infinite Boolean ring R to be a perfect code of size infinity in the unit graph.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Boolean ring, perfect code, subring, unit graph |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Science |
| ID Code: | 102882 |
| Deposited By: | Yanti Mohd Shah |
| Deposited On: | 26 Sep 2023 06:10 |
| Last Modified: | 26 Sep 2023 06:10 |
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