A network pruning based approach for subset-specific influential detection

  • Authors:
  • Praphul Chandra;Arun Kalyanasundaram

  • Affiliations:
  • Hewlett Packard, Bangalore, India;Hewlett Packard, Bangalore, India

  • Venue:
  • Proceedings of the 3rd Annual ACM Web Science Conference
  • Year:
  • 2012

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Abstract

Identifying the most influential nodes in a network is a well known problem which has received significant attention in the research community. However, as networks grow larger, an interesting variation of the problem becomes relevant where in the aim is to maximize the influence not in the whole network but only on a sub-set of the nodes in the network. We approach the subset specific top-k influential problem standalone and show that, unlike traditional approaches, a search for subset specific top-k influentials can be terminated earlier based on a parameter γ - thus allowing a trade-off between efficiency and effectiveness. For social networks, this parameter has a behavioral interpretation: it captures the ease of influencing nodes in the network. This work makes three key contributions. First, we propose an iterative network pruning algorithm to find subset specific top-k influentials and compare its performance to subset-adapted existing algorithms for various values of γ on real world data sets. Second, we extend the existing analytical framework for top-k influential detection to incorporate γ. Third, we analyze our algorithm under our analytical framework and show that the influence spread function continues to be sub-modular. Though our work has been motivated by online social networks, we believe that it is useful in other domains where diffusion over networks is considered.