On the strong metric dimension of the zero-divisor graph of a lattice
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929491657359360 |
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| author | Gadge, Pravin Joshi, Vinayak |
| author_facet | Gadge, Pravin Joshi, Vinayak |
| contents | In this paper, the generalized blow-up of a Boolean lattice $L\cong \textbf{2}^n$ using finite chains is introduced. Also, we compute the strong metric dimension of the zero-divisor graph of the blow-up of a Boolean lattice. These results are applied to calculate the strong metric dimension of the comaximal graph, the comaximal ideal graph, the zero-divisor graph of a reduced ring, and the component graph of a vector space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_05146 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the strong metric dimension of the zero-divisor graph of a lattice Gadge, Pravin Joshi, Vinayak Combinatorics 05C25, 06A07, 05C17, 13A70 In this paper, the generalized blow-up of a Boolean lattice $L\cong \textbf{2}^n$ using finite chains is introduced. Also, we compute the strong metric dimension of the zero-divisor graph of the blow-up of a Boolean lattice. These results are applied to calculate the strong metric dimension of the comaximal graph, the comaximal ideal graph, the zero-divisor graph of a reduced ring, and the component graph of a vector space. |
| title | On the strong metric dimension of the zero-divisor graph of a lattice |
| topic | Combinatorics 05C25, 06A07, 05C17, 13A70 |
| url | https://arxiv.org/abs/2409.05146 |