Inequalities relating domination parameters in cubic graphs (Q1815314)
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scientific article; zbMATH DE number 943221
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inequalities relating domination parameters in cubic graphs |
scientific article; zbMATH DE number 943221 |
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Inequalities relating domination parameters in cubic graphs (English)
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23 March 1997
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The paper presents various inequalities for numerical invariants of graphs \(G\) which concern domination. The following invariants are considered: domination number \(\gamma(G)\), upper domination number \(\Gamma(G)\), irredundance number \(\text{ir}(G)\), upper irredundance number \(\text{IR}(G)\), independent domination number \(i(G)\), independence number \(\beta_0(G)\), minus domination number \(\gamma^-(G)\), and signed domination number \(\gamma_s(G)\). The inequalities concern cubic graphs, i.e. regular graphs of degree 3.
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inequalities
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invariants
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domination
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domination number
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irredundance number
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independence number
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cubic graphs
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regular graphs
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0.95548373
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0.93129706
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0.9304708
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0.9252291
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0.92438537
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0.92162985
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0.9216163
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