Furkejuvvon:
| Váldodahkkit: | , , , , |
|---|---|
| Materiálatiipa: | Preprint |
| Almmustuhtton: |
2020
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| Fáttát: | |
| Liŋkkat: | https://arxiv.org/abs/2010.12303 |
| Fáddágilkorat: |
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Sisdoallologahallan:
- We consider random hyperbolic graphs in hyperbolic spaces of any dimension $d+1\geq 2$. We present a rescaling of model parameters that casts the random hyperbolic graph model of any dimension to a unified mathematical framework, leaving the degree distribution invariant with respect to the dimension. Unlike the degree distribution, clustering does depend on the dimension, decreasing to 0 at $d \rightarrow \infty$. We analyze all of the other limiting regimes of the model, and we release a software package that generates random hyperbolic graphs and their limits in hyperbolic spaces of any dimension.