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Edge Influence Computation in Dynamic Graphs

  • Yongrui QinEmail author
  • Quan Z. Sheng
  • Simon Parkinson
  • Nickolas J. G. Falkner
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10178)

Abstract

Reachability queries are of great importance in many research and application areas, including general graph mining, social network analysis and so on. Many approaches have been proposed to compute whether there exists one path from one node to another node in a graph. Most of these approaches focus on static graphs, however in practice dynamic graphs are more common. In this paper, we focus on handling graph reachability queries in dynamic graphs. Specifically we investigate the influence of a given edge in the graph, aiming to study the overall reachability changes in the graph brought by the possible failure/deletion of the edge. To this end, we firstly develop an efficient update algorithm for handling edge deletions. We then define the edge influence concept and put forward a novel computation algorithm to accelerate the computation of edge influence. We evaluate our approach using several real world datasets. The experimental results show that our approach outperforms traditional approaches significantly.

Keywords

Graph reachability Dynamic graph Edge influence 

Notes

Acknowledgments

Authors would like to thank Xiaorong Liang for the implementation of the algorithms and thank anonymous reviewers for their valuable comments.

References

  1. 1.
    Zhu, A.D., Lin, W., Wang, S., Xiao, X.: Reachability queries on large dynamic graphs: a total order approach. In: Dyreson, C.E., Li, F., Tamer Özsu, M. (eds.) SIGMOD Conference 2014, Snowbird, UT, USA, pp. 1323–1334, 22-27 June 2014. doi: 10.1145/2588555.2612181. http://dl.acm.org/citation.cfm?id=2588555
  2. 2.
    Cheng, J., et al.: TF-Label: a topological-folding labeling scheme for reachability querying in a large graph. In: Proceedings of the International Conference on Management of Data. ACM (2013)Google Scholar
  3. 3.
    Wang, H., et al.: Dual labeling: answering graph reachability queries in constant time. In: Proceedings of the 22nd International Conference on Data Engineering, ICDE 2006. IEEE (2006)Google Scholar
  4. 4.
    Agrawal, R., Borgida, A., Jagadish, H.V.: Efficient management of transitive relationships in large data and knowledge bases, vol. 18, no. 2. ACM (1989)Google Scholar
  5. 5.
    Jin, R., et al.: Efficiently answering reachability queries on very large directed graphs. In: Proceedings of the ACM SIGMOD International Conference on Management of Data. ACM (2008)Google Scholar
  6. 6.
    Jagadish, H.V.: A compression technique to materialize transitive closure. ACM Trans. Database Syst. (TODS) 15(4), 558–598 (1990)MathSciNetCrossRefGoogle Scholar
  7. 7.
    Cohen, E., et al.: Reachability, distance queries via 2-hop labels. SIAM J. Comput. 32(5), 1338–1355 (2003)MathSciNetCrossRefzbMATHGoogle Scholar
  8. 8.
    Bramandia, R., Choi, B., Ng, W.K.: Incremental maintenance of 2-hop labeling of large graphs. IEEE Trans. Knowl. Data Eng. 22(5), 682–698 (2010)CrossRefGoogle Scholar
  9. 9.
    Yildirim, H., Chaoji, V., Zaki, M.J.: Dagger: a scalable index for reachability queries in large dynamic graphs. arXiv preprint arXiv:1301.0977 (2013)
  10. 10.
    Leskovec, J.: Stanford large network dataset collection (2014). http://snap.stanford.edu/data/index.html
  11. 11.
    Yildirim, H., Chaoji, V., Zaki, M.J.: GRAIL: scalable reachability index for large graphs. PVLDB 3(1), 276–284 (2010)Google Scholar
  12. 12.
    van Schaik, S.J., de Moor, O.: A memory efficient reachability data structure through bit vector compression. In: SIGMOD, pp. 913–924 (2011)Google Scholar
  13. 13.
    Seufert, S., Anand, A., Bedathur, S.J., Weikum, G.: Ferrari: flexible and efficient reachability range assignment for graph indexing. In: ICDE, pp. 1009–1020 (2013)Google Scholar
  14. 14.
    Schenkel, R., Theobald, A., Weikum, G.: Efficient creation and incremental maintenance of the HOPI index for complex XML document collections. In: ICDE, pp. 360–371 (2005)Google Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Yongrui Qin
    • 1
    Email author
  • Quan Z. Sheng
    • 2
  • Simon Parkinson
    • 1
  • Nickolas J. G. Falkner
    • 3
  1. 1.University of HuddersfieldHuddersfieldUK
  2. 2.Macquarie UniversitySydneyAustralia
  3. 3.University of AdelaideAdelaideAustralia

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