Abstract
In this paper, a new method for graph and subgraph isomorphism detection based on a decision tree representation is proposed. The decision tree is generated off-line from a priori known model graphs. At run time the decision tree is used to detect all graph and subgraph isomorphisms from an input graph to any of the model graphs in time that is only polynomial in the size of the graphs and independent of the number of model graphs. However, the decision tree is of exponential size. In order to reduce the size of the decision tree, we propose two pruning techniques. Experimental results confirming the efficiency of the method will be given.
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References
H. Bunke. Structural and syntactic pattern recognition. In C.H. Chen, L.F. Pau, and P. Wang, editors, Handbook of Pattern Recognition and Computer Vision, pages 163–209. World Scientific Publ. Co. Singapore, 1993.
J.R. Ullman. An algorithm for subgraph isomorphism. Journal of the Association for Computing Machinery, 23(1):31–42, 1976.
W.J. Christmas, J. Kittler, and M. Petrou. Structural matching in computer vision using probabilistic relaxation. IEEE Transactions on Pattern Analysis and Machine Intelligence PAMI, 17(8):749–764, 1995.
R. Horaud and T. Skordas. Stereo correspondence through feature grouping and maximal cliques. IEEE Transactions on Pattern Analysis and Machine Intelligence PAMI, 11(11):1168–1180, 1989.
C.M. Hoffman. Group-theoretic Algorithms and Graph Isomorphism. Springer Verlag, 1982.
E.M. Luks. Isomorphism of graphs of bounded valence can be tested in polynomial time. Journal of Computer and System Sciences, pages 42–65, 1982.
B.T. Messmer and H. Bunke. Subgraph isomorphism in polynomial time. Technical Report IAM-95-003, University of Bern, 1995.
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© 1996 Springer-Verlag Berlin Heidelberg
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Messmer, B.T., Bunke, H. (1996). Subgraph isomorphism detection in polynomial time on preprocessed model graphs. In: Li, S.Z., Mital, D.P., Teoh, E.K., Wang, H. (eds) Recent Developments in Computer Vision. ACCV 1995. Lecture Notes in Computer Science, vol 1035. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60793-5_91
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DOI: https://doi.org/10.1007/3-540-60793-5_91
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Online ISBN: 978-3-540-49448-5
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