Skip to main content

A Unified Framework for Strengthening Topological Node Features and Its Application to Subgraph Isomorphism Detection

  • Conference paper
Graph-Based Representations in Pattern Recognition (GbRPR 2013)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 7877))

Abstract

This paper presents techniques to address the complexity problem of subgraph isomorphism detection on large graphs. To overcome the inherently high computational complexity, the problem is simplified through the calculation and strengthening of topological node features. These features can be utilised, in principle, by any subgraph isomorphism algorithm. The design and capabilities of the proposed unified strengthening framework are discussed in detail. Additionally, the concept of an n-neighbourhood is introduced, which facilitates the development of novel features and provides an additional platform for feature strengthening. Through experiments performed with state-of-the-art subgraph isomorphism algorithms, the theoretical and practical advantages of using these techniques become evident.

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 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 72.00
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. Conte, D., Foggia, P., Sansone, C., Vento, M.: Thirty years of graph matching in pattern recognition. International Journal of Pattern Recognition and Artificial Intelligence 18(3), 265–298 (2004)

    Article  Google Scholar 

  2. Cordella, L., Foggia, P., Sansone, C., Vento, M.: A (sub)graph isomorphism algorithm for matching large graphs. IEEE Transactions on Pattern Analysis and Machine Intelligence 26(10), 1367–1372 (2004)

    Article  Google Scholar 

  3. Csardi, G., Nepusz, T.: The igraph software package for complex network research. Inter. Journal Complex Systems 1695, 1–9 (2006), http://igraph.sourceforge.net

    Google Scholar 

  4. Dahm, N., Bunke, H., Caelli, T., Gao, Y.: Topological features and iterative node elimination for speeding up subgraph isomorphism detection. In: Proceedings of the 21st International Conference on Pattern Recognition (2012)

    Google Scholar 

  5. Fankhauser, S., Riesen, K., Bunke, H., Dickinson, P.: Suboptimal graph isomorphism using bipartite matching. International Journal of Pattern Recognition and Artificial Intelligence (accepted for publication)

    Google Scholar 

  6. McKay, B.B.: Practical graph isomorphism. Congressus Numerantium 30, 45–87 (1981)

    MathSciNet  Google Scholar 

  7. Morgan, H.L.: The generation of a unique machine description for chemical structures - a technique developed at chemical abstracts service. Journal of Chemical Documentation 5(2), 107–113 (1965)

    Article  Google Scholar 

  8. Russell, S., Norvig, P.: Artificial Intelligence: A Modern Approach, 1st edn. Prentice Hall Press, Upper Saddle River (1995)

    MATH  Google Scholar 

  9. Solnon, C.: AllDifferent-based filtering for subgraph isomorphism. Artificial Intelligence 174(12–13), 850–864 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  10. Sorlin, S., Solnon, C.: A parametric filtering algorithm for the graph isomorphism problem. Constraints 13, 518–537 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  11. Ullmann, J.R.: An algorithm for subgraph isomorphism. Journal of the ACM 23(1), 31–42 (1976)

    Article  MathSciNet  Google Scholar 

  12. Zampelli, S., Deville, Y., Solnon, C.: Solving subgraph isomorphism problems with constraint programming. Constraints 15(3), 327–353 (2010)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Dahm, N., Bunke, H., Caelli, T., Gao, Y. (2013). A Unified Framework for Strengthening Topological Node Features and Its Application to Subgraph Isomorphism Detection. In: Kropatsch, W.G., Artner, N.M., Haxhimusa, Y., Jiang, X. (eds) Graph-Based Representations in Pattern Recognition. GbRPR 2013. Lecture Notes in Computer Science, vol 7877. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38221-5_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-38221-5_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38220-8

  • Online ISBN: 978-3-642-38221-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics