We introduce and study a class of exchangeable random graph ensembles. They can be used as statistical null models for empirical networks, and as a tool for theoretical investigations. We provide general theorems that characterize the degree distribution of the ensemble graphs, together with some features that are important for applications, such as subgraph distributions and kernel of the adjacency matrix. A particular case of directed networks with power-law out–degree is studied in more detail, as an example of the flexibility of the model in applications.
Exchangeable random networks / F. Bassetti, M. Cosentino Lagomarsino, S. Mandra'. - In: INTERNET MATHEMATICS. - ISSN 1542-7951. - 4:4(2007), pp. 357-400. [10.1080/15427951.2007.10129152]
Exchangeable random networks
M. Cosentino LagomarsinoSecondo
;S. Mandra'Ultimo
2007
Abstract
We introduce and study a class of exchangeable random graph ensembles. They can be used as statistical null models for empirical networks, and as a tool for theoretical investigations. We provide general theorems that characterize the degree distribution of the ensemble graphs, together with some features that are important for applications, such as subgraph distributions and kernel of the adjacency matrix. A particular case of directed networks with power-law out–degree is studied in more detail, as an example of the flexibility of the model in applications.
Pubblicazioni consigliate
I metadati presenti in AIR sono rilasciati con licenza CCO mentre i file delle pubblicazioni sono rilasciati con licenza CC BY-SA, salvo diversa indicazione. In caso di violazione di copyright, contattare l'assistenza di AIR
