Subgraph Enumeration in Large Social Contact Networks Using Parallel Color Coding and Streaming

  • Authors:
  • Zhao Zhao;Maleq Khan;V. S. Anil Kumar;Madhav V. Marathe

  • Affiliations:
  • -;-;-;-

  • Venue:
  • ICPP '10 Proceedings of the 2010 39th International Conference on Parallel Processing
  • Year:
  • 2010

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Abstract

Identifying motifs (or commonly occurring subgraphs/templates) has been found to be useful in a number of applications, such as biological and social networks; they have been used to identify building blocks and functional properties, as well as to characterize the underlying networks. Enumerating subgraphs is a challenging computational problem, and all prior results have considered networks with a few thousand nodes. In this paper, we develop a parallel subgraph enumeration algorithm, ParSE, that scales to networks with millions of nodes. Our algorithm is a randomized approximation scheme, that estimates the subgraph frequency to any desired level of accuracy, and allows enumeration of a class of motifs that extends those considered in prior work. Our approach is based on parallelization of an approach called color coding, combined with a stream based partitioning. We also show that ParSE scales well with the number of processors, over a large range.