Abstract
In this paper we present a method for describing how a node of a given graph is connected to the network. We also propose a method for grouping nodes into clusters based on the structure of the network in which they are embedded, so on the description provided by the first method. We apply these methods to a mobile phone communications network. When confronting the obtained clusters of individuals to their age and to their intensity of communication, the results are quite promising: the two measures are correlated to the social network cluster. We finish by providing a typology of the mobile phone users based on social network cluster, communication intensity and age.
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Notes
- 1.
The notion of automorphism is presented in Sect. 7.3.
- 2.
We have also counted the number of isolated vertices and edges in Eg(v). 
- 3.
is the minimal age to have a mobile phone subscription, while for persons of more than 55 years old, 70 % of them have degree smaller than 4.
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Stoica, A., Smoreda, Z., Prieur, C. (2013). A Local Structure-Based Method for Nodes Clustering: Application to a Large Mobile Phone Social Network. In: Özyer, T., Rokne, J., Wagner, G., Reuser, A. (eds) The Influence of Technology on Social Network Analysis and Mining. Lecture Notes in Social Networks, vol 6. Springer, Vienna. https://doi.org/10.1007/978-3-7091-1346-2_7
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