On the value of a random minimum weight Steiner tree (Q705741)
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scientific article; zbMATH DE number 2133932
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the value of a random minimum weight Steiner tree |
scientific article; zbMATH DE number 2133932 |
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On the value of a random minimum weight Steiner tree (English)
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14 February 2005
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Let the edge weights of the complete graph on \(n\) vertices be chosen randomly and independently from an exponential distribution with parameter 1. Fix \(k=o(n)\) vertices. The weight of the minimum weight Steiner tree containing these vertices is approaching \((k-1)(\log n-\log k)/n\) with probability converging to 1.
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random graphs
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