Skip to main content

Subgraph Transformations for the Inexact Matching of Attributed Relational Graphs

  • Conference paper
Graph Based Representations in Pattern Recognition

Part of the book series: Computing Supplement ((COMPUTING,volume 12))

Abstract

An inexact matching algorithm for Attributed Relational Graphs is presented: according to it, two graphs are considered similar if, by using a defined set of syntactic and semantic transformations, they can be made isomorphic to each other. The matching process is carried out by using a State Space Representation: a state represents a partial solution of the matching between the graphs, and a transition between two states corresponds to the addition of a new pair of matched nodes. A set of feasibility rules are introduced for pruning states associated to partial matching solutions which do not satisfy the required graphs morphism. Results outlining the computational cost reduction achieved by the method are given with reference to a set of randomly generated graphs.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Shapiro, L. G., Haralick, R. M.: Structural description and inexact matching. IEEE Trans. Pattern Anal. Mach. Intell. 3, 505–519 (1981).

    Article  Google Scholar 

  2. Tsai, W. H., Fu, K. S.: Error-correcting isomorphisms of attributed relational graphs for pattern analysis. IEEE Trans. Syst. Man Cybern. 9, 757–768 (1979).

    Article  MATH  Google Scholar 

  3. Tsai, W. H., Fu, K. S.: Subgraph error-correcting isomorphisms for syntactic pattern recognition. IEEE Trans. Syst. Man Cybern. 13, 48–62 (1983).

    Article  MathSciNet  MATH  Google Scholar 

  4. Sanfeliu, A., Fu, K. S.: A distance measure between attributed relational graphs for pattern recognition. IEEE Trans. Syst. Man Cybern. 13, 353–362 (1983).

    Article  MATH  Google Scholar 

  5. Shapiro, L. G., Haralick, R. M.: A metric for comparing relational descriptions. IEEE Trans. Pattern Anal. Mach. Intell. 7, 90–94 (1985).

    Article  Google Scholar 

  6. Ullman, J. R.: An algorithm for subgraph isomorphism. J. Assoc. Comput. Mach. 23, 31–42 (1976).

    Article  MathSciNet  MATH  Google Scholar 

  7. Bunke, H., Messmer, B. T.: Efficient attributed graph matching and its application to image analysis. In: Image analysis and processing (Braccini, C., DeFloriani, L., Vernazza, G., eds.), pp. 45–55. Berlin Heidelberg New York Tokyo: Springer 1995. (Lecture Notes in Computer Science, vol. 974)

    Google Scholar 

  8. Cordelia, L. P., Foggia, P., Sansone, C., Vento, M.: An efficient algorithm for the inexact matching of ARG graphs using a contextual transformational model. Proc. 13th ICPR. IEEE Comput. Society Press 3, 180–184 (1996).

    Google Scholar 

  9. Messmer, B. T.: Efficient graph matching algorithms for preprocessed model graphs. Ph.D. Thesis, Institute of Computer Science and Applied Mathematics, University of Bern, 1996.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Wien

About this paper

Cite this paper

Cordella, L.P., Foggia, P., Sansone, C., Vento, M. (1998). Subgraph Transformations for the Inexact Matching of Attributed Relational Graphs. In: Jolion, JM., Kropatsch, W.G. (eds) Graph Based Representations in Pattern Recognition. Computing Supplement, vol 12. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6487-7_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-7091-6487-7_5

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83121-2

  • Online ISBN: 978-3-7091-6487-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics