Assortativity in Generalized Preferential Attachment Models

In this paper, we analyze assortativity of preferential attachment models. We deal with a wide class of preferential attachment models (PA-class). It was previously shown that the degree distribution in all models of the PA-class follows a power law. Also, the global and the average local clustering...

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Bibliographic Details
Published in:arXiv.org 2017-07
Main Authors: Krot, Alexander, Prokhorenkova, Liudmila Ostroumova
Format: Article
Language:English
Subjects:
Attachment
Clustering
Thermal expansion
Online Access:Get full text
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Summary:In this paper, we analyze assortativity of preferential attachment models. We deal with a wide class of preferential attachment models (PA-class). It was previously shown that the degree distribution in all models of the PA-class follows a power law. Also, the global and the average local clustering coefficients were analyzed. We expand these results by analyzing the assortativity property of the PA-class of models. Namely, we analyze the behavior of \(d_{nn}(d)\) which is the average degree of a neighbor of a vertex of degree \(d\).
ISSN:2331-8422