Total domination of graphs and small transversals of hypergraphs (Q949753)
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scientific article; zbMATH DE number 5355065
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Total domination of graphs and small transversals of hypergraphs |
scientific article; zbMATH DE number 5355065 |
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Total domination of graphs and small transversals of hypergraphs (English)
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21 October 2008
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This paper proves the upper bound \((5n+4m)/21\) on the cardinality of a minimal transversal of a 4-uniform hypergraph with \(n\) vertices and \(m\) edges. In case of \(n=m\) it turns to \(3n/7\) and it is sharp. The paper proves some sharp results on the domination number of graphs with minimum degree 3 and 4, respectively.
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transversal
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domination number
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