Navigation on a Poisson point process (Q2426610)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Navigation on a Poisson point process |
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Navigation on a Poisson point process (English)
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23 April 2008
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Let \(N\) be a locally finite point set obtained by a Poisson point process in \(d\)-dimensional Euclidean space. A connected graph called the navigation tree is defined on \(N\) extended with origo. A greedy navigation algorithm is analyzed and asymptotic results on long paths are given. Small-world graphs illustrate the results.
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random spanning trees
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Poisson point process
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local weak convergence
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small-world phenomenon
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stochastic geometry
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