Fast error-correcting graph isomorphism based on model precompilation

  • B. T. Messmer
  • H. Bunke
Session 8: Recognition
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1310)


In this paper we present a fast algorithm for the computation of error-correcting graph isomorphisms. The new algorithm is an extension of a method for exact subgraph isomorphism detection from an input graph to a set of a priori known model graphs, which was previously developed by the authors.


  1. [BA83]
    H. Bunke and G. Allerman. Inexact graph matching for structural pattern recognition. Pattern Recognition Letters 1, 4:245–253, 1983.Google Scholar
  2. [CA96]
    [CYS+96] L. Cinque, D. Yasuda, L.G. Shapiro, S. Tanimoto, and B. Allen. An inproved algorithm for relational distance graph matching. Pattern Recognition, 29(2):349–359, 1996.Google Scholar
  3. [HHVN90]
    L. Herault, R. Horaud, F. Veillon, and J.J. Niez. Symbolic image matching by simulated annealing. In Proc. British Machine Vision Conference, pages 319–324. Oxford, 1990.Google Scholar
  4. [KCP92]
    J. Kittler, W. J. Christmas, and M. Petrou. Probabilistic relaxation for matching of symbolic structures. In H. Bunke, editor, Advances in Structural and Syntactic Pattern Recognition, pages 471–480. World Scientific, 1992.Google Scholar
  5. [MB95]
    B.T. Messmer and H. Bunke. Subgraph isomorphism detection in polynomial time on preprocessed model graphs. In Proceedings of the Asian Conference on Computer Vision ACCV, pages 151–155, 1995.Google Scholar
  6. [MB96]
    B.T. Messmer and H. Bunke.Fast error-correcting graph isomorphism based on model precompilation. Technical Report IAM-96-012, University of Bern, 1996.Google Scholar
  7. [SF83]
    A. Sanfeliu and K.S. Fu. A distance measure between attributed relational graphs for pattern recognition. IEEE Transactions on Systems, Man, and Cybernetics, 13:353–363, 1983.Google Scholar
  8. [SH81]
    L.G. Shapiro and R.M. Haralick. Structural descriptions and inexact matching. IEEE Transactions on Pattern Analysis and Machine Intelligence PAMI, 3:504–519, 1981.Google Scholar
  9. [Ull76]
    J.R. Ullman. An algorithm for subgraph isomorphism. Journal of the Association for Computing Machinery, 23(1):31–42, 1976.Google Scholar
  10. [WF74]
    R.A. Wagner and M.J. Fischer. The string-to-string correction problem. Journal of the Association for Computing Machinery, 21(1):168–173, 1974.Google Scholar
  11. [Won90]
    E. K. Wong. Three-dimensional object recognition by attributed graphs. In H. Bunke and A. Sanfeliu, editors, Syntactic and Structural Pattern Recognition-Theory and Applications, pages 381–414. World Scientific, 1990.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • B. T. Messmer
    • 1
  • H. Bunke
    • 1
  1. 1.Institut für Informatik und angewandte MathematikUniversität BernBernSwitzerland

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