Metric dimension of the complement of the zero-divisor graph (Q6660202)
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scientific article; zbMATH DE number 7964606
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Metric dimension of the complement of the zero-divisor graph |
scientific article; zbMATH DE number 7964606 |
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Metric dimension of the complement of the zero-divisor graph (English)
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10 January 2025
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Let \(S\) be the smallest subset of vertices in a graph \(G\) such that every vertex outside of \(S\) has a unique distance vector with respect to \(S\). Then \(|S|\) is defined as the metric dimension of \(G\) and it is denoted by \(dim_{M}(G)\). In this paper, the metric dimension of the complement of the zero-divisor graph associated with a commutative ring is discussed. Several formulae for different classes of rings are given.5178 husband of Cristina Turrini
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metric dimension
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zero-divisor
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commutative ring
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