Solving the Contamination Minimization Problem on Networks for the Linear Threshold Model

  • Authors:
  • Masahiro Kimura;Kazumi Saito;Hiroshi Motoda

  • Affiliations:
  • Department of Electronics and Informatics, Ryukoku University, Otsu, Japan 520-2194;School of Administration and Informatics, University of Shizuoka, Shizuoka, Japan 422-8526;Institute of Scientific and Industrial Research, Osaka University, Osaka, Japan 567-0047

  • Venue:
  • PRICAI '08 Proceedings of the 10th Pacific Rim International Conference on Artificial Intelligence: Trends in Artificial Intelligence
  • Year:
  • 2008

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Abstract

We address the problem of minimizing the spread of undesirable things, such as computer viruses and malicious rumors, by blocking a limited number of links in a network. This optimization problem called the contamination minimization problem is, not only yet another approach to the problem of preventing the spread of contamination by removing nodes in a network, but also a problem that is converse to the influence maximization problem of finding the most influential nodes in a social network for information diffusion. We adapted the method which we developed for the independent cascade model, known for a model for the spread of epidemic disease, to the contamination minimization problem under the linear threshold model, a model known for the propagation of innovation which is considerably different in nature. Using large real networks, we demonstrate experimentally that the proposed method significantly outperforms conventional link-removal methods.