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On random minimum length spanning trees - MaRDI portal

On random minimum length spanning trees (Q923108)

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scientific article; zbMATH DE number 4170955
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English
On random minimum length spanning trees
scientific article; zbMATH DE number 4170955

    Statements

    On random minimum length spanning trees (English)
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    1989
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    Independent identically distributed positive random variables are used as edge lengths in a given graph, and the length of the minimum spanning tree is investigated. In particular, for a complete bipartite graph \(K_{n,n}\) with the edge lengths uniformly distributed on (0,1), the expected length of the minimum spanning tree is shown to converge to 2.404....
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    random edge lengths
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    minimum spanning tree
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