Gateway finder in large graphs: problem definitions and fast solutions

  • Authors:
  • Hanghang Tong;Spiros Papadimitriou;Christos Faloutsos;Philip S. Yu;Tina Eliassi-Rad

  • Affiliations:
  • IBM T.J. Watson Research Center, Yorktown, USA;Google Inc, Mountain View, USA;Carnegie Mellon University, Pittsburgh, USA;University of Illinois at Chicago, Chicago, USA;Rutgers University, Newark, USA

  • Venue:
  • Information Retrieval
  • Year:
  • 2012

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Abstract

Given a graph, how to find a small group of `gateways', that is a small subset of nodes that are crucial in connecting the source to the target? For instance, given a social network, who is the best person to introduce you to, say, Chris Ferguson, the poker champion? Or, given a network of people and skills, who is the best person to help you learn about, say, wavelets? We formally formulate this problem in two scenarios: Pair-Gateway and Group-Gateway. For each scenario, we show that it is sub-modular and thus it can be solved near-optimally. We further give fast, scalable algorithms to find such gateways. Extensive experimental evaluations on real data sets demonstrate the effectiveness and efficiency of the proposed methods.