Analysis of dynamic social network: e-mail messages exchange network

  • Authors:
  • Maytham Safar;Hisham Farahat;Khaled Mahdi

  • Affiliations:
  • Kuwait University, Kuwait;Kuwait University, Kuwait;Kuwait University, Kuwait

  • Venue:
  • Proceedings of the 11th International Conference on Information Integration and Web-based Applications & Services
  • Year:
  • 2009

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Abstract

Counting entropy of social networks is used to study the dynamic of such networks. It depends on counting the number of cycles in the network, which is an NP problem. In this work we used a polynomial time approximation algorithm to count the number of cycles in an undirected graph that is based on regression and on a statistical mechanics approach. We used this approximation algorithm to analysis the dynamicity of a virtual social network, E-mail Messages Exchange Network (EMEN) where nodes and edges appear and disappear through time. We analyze the exact and approximated cyclic entropy variation with time as a function of the number of nodes and edges in the network. The purpose is to establish the robustness of the network. In addition, we study the effect of weighed links (number of interactions between users) on the analysis of such graphs.