K-reach: who is in your small world

  • Authors:

  • James Cheng;Zechao Shang;Hong Cheng;Haixun Wang;Jeffrey Xu Yu

  • Affiliations:

  • Nanyang Technological University, Singapore;The Chinese University of Hong Kong;The Chinese University of Hong Kong;Microsoft Research Asia, Beijing, China;The Chinese University of Hong Kong

  • Venue:
  • Proceedings of the VLDB Endowment
  • Year:
  • 2012

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Abstract

We study the problem of answering k-hop reachability queries in a directed graph, i.e., whether there exists a directed path of length k, from a source query vertex to a target query vertex in the input graph. The problem of k-hop reachability is a general problem of the classic reachability (where k = ∞). Existing indexes for processing classic reachability queries, as well as for processing shortest path queries, are not applicable or not efficient for processing k-hop reachability queries. We propose an index for processing k-hop reachability queries, which is simple in design and efficient to construct. Our experimental results on a wide range of real datasets show that our index is more efficient than the state-of-the-art indexes even for processing classic reachability queries, for which these indexes are primarily designed. We also show that our index is efficient in answering k-hop reachability queries.