Distance-constraint reachability computation in uncertain graphs

  • Authors:
  • Ruoming Jin;Lin Liu;Bolin Ding;Haixun Wang

  • Affiliations:
  • Kent State University, Kent, OH;UIUC Urbana, IL;UIUC Urbana, IL;Microsoft Research Asia, Beijing, China

  • Venue:
  • Proceedings of the VLDB Endowment
  • Year:
  • 2011

Quantified Score

Hi-index 0.00

Visualization

Abstract

Driven by the emerging network applications, querying and mining uncertain graphs has become increasingly important. In this paper, we investigate a fundamental problem concerning uncertain graphs, which we call the distance-constraint reachability (DCR) problem: Given two vertices s and t, what is the probability that the distance from s to t is less than or equal to a user-defined threshold d in the uncertain graph? Since this problem is #P-Complete, we focus on efficiently and accurately approximating DCR online. Our main results include two new estimators for the probabilistic reachability. One is a Horvitz-Thomson type estimator based on the unequal probabilistic sampling scheme, and the other is a novel recursive sampling estimator, which effectively combines a deterministic recursive computational procedure with a sampling process to boost the estimation accuracy. Both estimators can produce much smaller variance than the direct sampling estimator, which considers each trial to be either 1 or 0. We also present methods to make these estimators more computationally efficient. The comprehensive experiment evaluation on both real and synthetic datasets demonstrates the efficiency and accuracy of our new estimators.