A simply obtained asymptotic expansion for the probability that a random mapping is connected (Q919700)
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scientific article; zbMATH DE number 4161766
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A simply obtained asymptotic expansion for the probability that a random mapping is connected |
scientific article; zbMATH DE number 4161766 |
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A simply obtained asymptotic expansion for the probability that a random mapping is connected (English)
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1989
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A mapping f of the set \(V=\{1,2,...,n\}\) into itself is selected at random from the set of all such mappings with probability \(n^{-n}\). The author obtains asymptotic expansions for the probability of connectedness of the corresponding graph \(G_ f=(V\), \(\{\) (i,f(i)); \(i\in V\})\) and for its expected number of components.
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random mapping
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asymptotic expansions
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probability of connectedness
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