Total domination excellent trees (Q1869221)
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scientific article; zbMATH DE number 1896005
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Total domination excellent trees |
scientific article; zbMATH DE number 1896005 |
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Total domination excellent trees (English)
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9 April 2003
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A set \(S\) of vertices of a graph \(G\) is a total dominating set if every vertex of \(G\) is adjacent to some vertex of \(S\) (other than itself). A graph is total domination excellent, denoted by \(\gamma_t\)-excellent, if every vertex belongs to some total dominating set of smallest cardinality. The author shows that the class of \(\gamma_t\)-excellent trees can be constructed recursively by starting with a star and repeatedly applying one of four operations.
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total domination
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tree
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