Skip to main content

Discovering Relevant Cross-Graph Cliques in Dynamic Networks

  • Conference paper
Foundations of Intelligent Systems (ISMIS 2009)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5722))

Included in the following conference series:

Abstract

Several algorithms, namely CubeMiner, Trias, and Data-Peeler, have been recently proposed to mine closed patterns in ternary relations. We consider here the specific context where a ternary relation denotes the value of a graph adjacency matrix at different timestamps. Then, we discuss the constraint-based extraction of patterns in such dynamic graphs. We formalize the concept of δ-contiguous closed 3-clique and we discuss the availability of a complete algorithm for mining them. It is based on a specialization of the enumeration strategy implemented in Data-Peeler. Indeed, clique relevancy can be specified by means of a conjunction of constraints which can be efficiently exploited. The added-value of our strategy is assessed on a real dataset about a public bicycle renting system. The raw data encode the relationships between the renting stations during one year. The extracted δ-contiguous closed 3-cliques are shown to be consistent with our domain knowledge on the considered city.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ganter, B., Stumme, G., Wille, R.: Formal Concept Analysis, Foundations and Applications. Springer, Heidelberg (2005)

    MATH  Google Scholar 

  2. Ji, L., Tan, K.-L., Tung, A.K.H.: Mining frequent closed cubes in 3D data sets. In: VLDB 2006: Proc. of the 32nd Int. Conf. on Very Large Data Bases, pp. 811–822. VLDB Endowment (2006)

    Google Scholar 

  3. Jaschke, R., Hotho, A., Schmitz, C., Ganter, B., Stumme, G.: Trias–an algorithm for mining iceberg tri-lattices. In: ICDM 2006: Proc. of the Sixth Int. Conf. on Data Mining, pp. 907–911. IEEE Computer Society, Los Alamitos (2006)

    Google Scholar 

  4. Cerf, L., Besson, J., Robardet, C., Boulicaut, J.F.: Data-Peeler: Constraint-based closed pattern mining in n-ary relations. In: SDM 2008: Proc. of the Eighth SIAM Int. Conf. on Data Mining, pp. 37–48. SIAM, Philadelphia (2008)

    Chapter  Google Scholar 

  5. Cerf, L., Besson, J., Robardet, C., Boulicaut, J.F.: Closed patterns meet n-ary relations. ACM Trans. on Knowledge Discovery from Data 3(1) (March 2009)

    Google Scholar 

  6. Wang, J., Zeng, Z., Zhou, L.: CLAN: An algorithm for mining closed cliques from large dense graph databases. In: ICDE 2006: Proc. of the 22nd Int. Conf. on Data Engineering, pp. 73–82. IEEE Computer Society, Los Alamitos (2006)

    Google Scholar 

  7. Jiang, D., Pei, J.: Mining frequent cross-graph quasi-cliques. ACM Trans. on Knowledge Discovery from Data 2(4) (January 2009)

    Google Scholar 

  8. Zeng, Z., Wang, J., Zhou, L., Karypis, G.: Out-of-core coherent closed quasi-clique mining from large dense graph databases. ACM Trans. on Database Systems 32(2), 13–42 (2007)

    Article  Google Scholar 

  9. Liu, G., Wong, L.: Effective pruning techniques for mining quasi-cliques. In: ECML PKDD 2008: Proc. of the European Conf. on Machine Learning and Knowledge Discovery in Databases - Part II, pp. 33–49. Springer, Heidelberg (2008)

    Google Scholar 

  10. Srikant, R., Agrawal, R.: Mining sequential patterns: Generalizations and performance improvements. In: Apers, P.M.G., Bouzeghoub, M., Gardarin, G. (eds.) EDBT 1996. LNCS, vol. 1057, pp. 3–17. Springer, Heidelberg (1996)

    Google Scholar 

  11. Casas-Garriga, G.: Discovering unbounded episodes in sequential data. In: Lavrač, N., Gamberger, D., Todorovski, L., Blockeel, H. (eds.) PKDD 2003. LNCS (LNAI), vol. 2838, pp. 83–94. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  12. Ding, B., Lo, D., Han, J., Khoo, S.-C.: Efficient mining of closed repetitive gapped subsequences from a sequence database. In: ICDE 2009: Proc. of the 25th Int. Conf. on Data Engineering. IEEE Computer Society, Los Alamitos (2009)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Cerf, L., Nguyen, T.B.N., Boulicaut, JF. (2009). Discovering Relevant Cross-Graph Cliques in Dynamic Networks. In: Rauch, J., Raś, Z.W., Berka, P., Elomaa, T. (eds) Foundations of Intelligent Systems. ISMIS 2009. Lecture Notes in Computer Science(), vol 5722. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04125-9_54

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-04125-9_54

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04124-2

  • Online ISBN: 978-3-642-04125-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics