\((d,2n)\)-dominating number of toroidal meshes with diameter \(d\) (Q2755696)
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scientific article; zbMATH DE number 1671601
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \((d,2n)\)-dominating number of toroidal meshes with diameter \(d\) |
scientific article; zbMATH DE number 1671601 |
Statements
25 August 2002
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graph
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reliability
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diameter
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dominating number
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\((d,2n)\)-dominating number of toroidal meshes with diameter \(d\) (English)
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The authors prove the following result: Let \(G= C(d_1,d_2,\dots, d_n)\neq C(3,3,\dots, 3)\), \(n\geq 3\), \(d_i\geq 3\) \((i= 1,2,\dots, n)\). Then the \((d,2n)\)-dominating number of \(G\) is \(2\) for \(d=\text{diam}(G)\).
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