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Network Reachability Analysis on Temporally Varying Interaction Networks

  • Zhonghu XuEmail author
  • Kai Xing
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9204)

Abstract

Tremendous effort has been made in understanding the network connectivity and reachability in the spacial domain in the past decades. However, few of them focuses on time-varying the network connectivity and reachability problem in the time domain, which nevertheless exists in the most popular interactive networks, e.g., interactive forums, websites, tweeter-like online social applications, and etc. In this paper, we formulate the reachability problem in such interactive networks, and provide a novel way of quantitatively analyzing the reachability problem via the reverse chronological order. Based on real data, we further demonstrate the analytical power of our theoretical design and show that such reachability problem can be further modeled in a random digraph and a Markov process where time intervals obey exponential distribution \(\mathbb {D}\) with the appearance of interaction edges following a Poisson process. In the extensive experiment study, we collect all the interaction behaviors such as reply and forward in recent 10 years from the largest forums in China (specifically, Tianya) with more than 3 million of daily active users. The experiment results show that there is a good match between the theoretical results and the real data.

Keywords

Reachability Social network Temporally varying interaction network 

References

  1. 1.
    Uno, Y., Ibaraki, T.: Reachability problems of random digraphs. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E81–A(12), 2694–2702 (1998)Google Scholar
  2. 2.
    Whitbeck, J., de Amorim, M.D., Conan, V., Guillaume, J-L. : Temporal reachability graphs. In: Proceedings of the 18th Annual International Conference on Mobile Computing and Networking (2012)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.School of Computer ScienceUniversity of Science and Technology of ChinaHefeiChina

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