On the asymptotic behavior of the independence number of a random \((n,n)\)-tree (Q1911235)
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scientific article; zbMATH DE number 867721
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the asymptotic behavior of the independence number of a random \((n,n)\)-tree |
scientific article; zbMATH DE number 867721 |
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On the asymptotic behavior of the independence number of a random \((n,n)\)-tree (English)
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26 August 1996
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Let \(T\) denote a bipartite tree with \(n\) labelled dark nodes and \(n\) labelled light nodes. The authors show that the node independence number of \(T\) lies between \(n\) and \((1.27974)n\) for almost all such trees \(T\) as \(n \to \infty\).
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asymptotic behavior
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random
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bipartite tree
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node independence number
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0.9566628
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0.9148391
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0.9103185
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0.9097456
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0.90833247
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0.9078712
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