| Título: | Stationary random graphs on $Z$ with prescribed iid degrees and finite mean connections |
| Autores: |
Deijfen, Maria; Stockholm University Jonasson, Johan; Chalmers University |
| Fecha: | 2006-01-01 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Random graphs; degree distribution; stationary model 05C80; 60G50 |
| Descripción: | Let $F$ be a probability distribution with support on the non-negative integers. A model is proposed for generating stationary simple graphs on $Z$ with degree distribution $F$ and it is shown for this model that the expected total length of all edges at a given vertex is finite if $F$ has finite second moment. It is not hard to see that any stationary model for generating simple graphs on $Z$ will give infinite mean for the total edge length per vertex if $F$ does not have finite second moment. Hence, finite second moment of $F$ is a necessary and sufficient condition for the existence of a model with finite mean total edge length. |
| Idioma: | No aplica |
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