| Título: | Stationary random graphs with prescribed iid degrees on a spatial Poisson process |
| Autores: | Deijfen, Maria; Stockholm University |
| Fecha: | 2009-01-01 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Random graphs, degree distribution, Poisson process, stable matching, stationary model 05C80; 60G50 |
| Descripción: | Let $[\mathcal{P}]$ be the points of a Poisson process on $R^d$ and $F$ a probability distribution with support on the non-negative integers. Models are formulated for generating translation invariant random graphs with vertex set $[\mathcal{P}]$ and iid vertex degrees with distribution $F$, and the length of the edges is analyzed. The main result is that finite mean for the total edge length per vertex is possible if and only if $F$ has finite moment of order $(d+1)/d$. |
| Idioma: | No aplica |
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