Skip to main content

What Is Frequent in a Single Graph?

  • Conference paper
Advances in Knowledge Discovery and Data Mining (PAKDD 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5012))

Included in the following conference series:

Abstract

The standard, transactional setting of pattern mining assumes that data is subdivided in transactions; the aim is to find patterns that can be mapped onto at least a minimum number of transactions. However, this setting can be hard to apply when the aim is to find graph patterns in databases consisting of large graphs. For instance, the web, or any social network, is a single large graph that one may not wish to split into small parts. The focus in network analysis is on finding structural regularities or anomalies in one network, rather than finding structural regularities common to a set of them. This requires us to revise the definition of key concepts in pattern mining, such as support, in the single-graph setting. Our contribution is a support measure that we prove to be computationally less expensive and often closer to intuition than other measures proposed. Further we prove several properties between these measures and experimentally validate the efficiency of our measure.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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. Agrawal, R., Mannila, H., Srikant, R., Toivonen, H., Verkamo, A.I.: Fast discovery of association rules. In: Advances in Knowledge Discovery and Data Mining, pp. 307–328. AAAI/MIT Press (1996)

    Google Scholar 

  2. Bringmann, B., Nijssen, S.: What is frequent in a single graph? In: International Workshop on Mining and Learning with Graphs (MLG) (2007)

    Google Scholar 

  3. Busygin, S.: A new trust region technique for the maximum weight clique problem. Discrete Applied Mathematics 154, 2080–2096 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  4. Chen, C., Yan, X., Zhu, F., Han, J.: gApprox: Mining frequent approximate patterns from a massive network. In: Perner, P. (ed.) ICDM 2007. LNCS (LNAI), vol. 4597, Springer, Heidelberg (2007)

    Google Scholar 

  5. Fiedler, M., Borgelt, C.: Support computation for mining frequent subgraphs in a single graph. In: International Workshop on Mining and Learning with Graphs (MLG) (2007)

    Google Scholar 

  6. Holder, L.B., Cook, D.J., Djoko, S.: Substucture discovery in the SUBDUE system. In: KDD Workshop, pp. 169–180 (1994)

    Google Scholar 

  7. Kuramochi, M., Karypis, G.: Finding frequent patterns in a large sparse graph. Data Min. Knowl. Discov. 11(3), 243–271 (2005)

    Article  MathSciNet  Google Scholar 

  8. Motzkin, T.S., Straus, E.G.: Maxima for graphs and a new proof of a theorem of Turan. Canadian Journal of Mathematics 17(4), 533–540 (1965)

    MATH  MathSciNet  Google Scholar 

  9. Sevon, P., Eronen, L., Hintsanen, P., Kulovesi, K., Toivonen, H.: Link discovery in graphs derived from biological databases. In: Data Integration in the Life Sciences, vol. 4075 (2006)

    Google Scholar 

  10. Yan, X., Han, J.: gSpan: Graph-based substructure pattern mining. In: ICDM, pp. 721–724 (2002)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Takashi Washio Einoshin Suzuki Kai Ming Ting Akihiro Inokuchi

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bringmann, B., Nijssen, S. (2008). What Is Frequent in a Single Graph?. In: Washio, T., Suzuki, E., Ting, K.M., Inokuchi, A. (eds) Advances in Knowledge Discovery and Data Mining. PAKDD 2008. Lecture Notes in Computer Science(), vol 5012. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68125-0_84

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-68125-0_84

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-68124-3

  • Online ISBN: 978-3-540-68125-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics