Skip to main content

Relevant Cycle Hypergraph Representation for Molecules

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

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

Abstract

Chemoinformatics aims to predict molecule’s properties through informational methods. Some methods base their prediction model on the comparison of molecular graphs. Considering such a molecular representation, graph kernels provide a nice framework which allows to combine machine learning techniques with graph theory. Despite the fact that molecular graph encodes all structural information of a molecule, it does not explicitly encode cyclic information. In this paper, we propose a new molecular representation based on a hypergraph which explicitly encodes both cyclic and acyclic information into one molecular representation called relevant cycle hypergraph. In addition, we propose a similarity measure in order to compare relevant cycle hypergraphs and use this molecular representation in a chemoinformatics prediction problem.

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. Berge, C.: Graphs and hypergraphs, vol. 6. Elsevier (1976)

    Google Scholar 

  2. Ducournau, A.: Hypergraphes: clustering, réduction et marches aléatoires orientées pour la segmentation d’images et de vidéo. PhD thesis, École Nationale d’Ingénieurs de Saint-Étienne (2012)

    Google Scholar 

  3. Fröhlich, H., Wegner, J.K., Sieker, F., Zell, A.: Optimal assignment kernels for attributed molecular graphs. In: Proceedings of the 22nd International Conference on Machine learning, ICML 2005, pp. 225–232. ACM Press (2005)

    Google Scholar 

  4. Gaüzère, B., Brun, L., Villemin, D.: Two New Graphs Kernels in Chemoinformatics. Pattern Recognition Letters 33(15), 2038–2047 (2012)

    Article  Google Scholar 

  5. Gaüzère, B., Brun, L., Villemin, D., Brun, M.: Graph kernels based on relevant patterns and cycle information for chemoinformatics. In: Proceedings of ICPR 2012. IAPR, pp. 1775–1778. IEEE (November 2012)

    Google Scholar 

  6. Horváth, T.: Cyclic pattern kernels revisited. In: Ho, T.-B., Cheung, D., Liu, H. (eds.) PAKDD 2005. LNCS (LNAI), vol. 3518, pp. 791–801. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  7. Horváth, T., Gartner, T., Wrobel, S.: Cyclic pattern kernels for predictive graph mining. In: Proceedings of the 2004 ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, KDD 2004, pp. 158–167 (2004)

    Google Scholar 

  8. Kashima, H., Tsuda, K., Inokuchi, A.: Kernels for graphs, ch. 7, pp. 155–170. MIT Press (2004)

    Google Scholar 

  9. Mahé, P., Vert, J.-P.: Graph kernels based on tree patterns for molecules. Machine Learning 75(1), 3–35 (September 2008) (2009)

    Article  Google Scholar 

  10. Neuhaus, M., Bunke, H.: Bridging the gap between graph edit distance and kernel machines. World Scientific Pub. Co. Inc. (2007)

    Google Scholar 

  11. Toivonen, H., Srinivasan, A., King, R., Kramer, S., Helma, C.: Statistical evaluation of the predictive toxicology challenge 2000-2001. Bioinformatics 19(10), 1183–1193 (2003)

    Article  Google Scholar 

  12. Vert, J.-P.: The optimal assignment kernel is not positive definite, http://hal.archives-ouvertes.fr/hal-00218278

  13. Vismara, P.: Union of all the minimum cycle bases of a graph. The Electronic Journal of Combinatorics 4(1), 73–87 (1997)

    MathSciNet  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

Gaüzère, B., Brun, L., Villemin, D. (2013). Relevant Cycle Hypergraph Representation for Molecules. 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_12

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-38221-5_12

  • 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