On the Vulnerability of Large Graphs

  • Authors:
  • Hanghang Tong;B. Aditya Prakash;Charalampos Tsourakakis;Tina Eliassi-Rad;Christos Faloutsos;Duen Horng Chau

  • Affiliations:
  • -;-;-;-;-;-

  • Venue:
  • ICDM '10 Proceedings of the 2010 IEEE International Conference on Data Mining
  • Year:
  • 2010

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Abstract

Given a large graph, like a computer network, which k nodes should we immunize (or monitor, or remove), to make it as robust as possible against a computer virus attack? We need (a) a measure of the ‘Vulnerability’ of a given network, b) a measure of the ‘Shield-value’ of a specific set of k nodes and (c) a fast algorithm to choose the best such k nodes. We answer all these three questions: we give the justification behind our choices, we show that they agree with intuition as well as recent results in immunology. Moreover, we propose Net Shield, a fast and scalable algorithm. Finally, we give experiments on large real graphs, where Net Shield achieves tremendous speed savings exceeding 7 orders of magnitude, against straightforward competitors.