Abstract
The problem of computing the standard edit distance between unordered trees is known to be intractable. To circumvent this hardness result, several tractable variations have been proposed. The algorithms of these variations include the submodule of a network algorithm, either the minimum cost maximum flow algorithm or the maximum weighted bipartite matching algorithm. In this paper, we point out that these network algorithms are replaceable, and give the experimental results of computing these variations with both network algorithms.
This work is partially supported by Grand-in-Aid for Scientific Research 20500126, 20240014, 21500145, 22240010 and 23300061 from the Ministry of Education, Culture, Sports, Science and Technology, Japan.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ahuja, R.K., Magnanti, T.L., Orlin, J.B.: Network flows. Prentice Hall (1993)
Chawathe, S.S.: Comparing hierarchical data in external memory. In: Proc. VLDB 1999, pp. 90–101 (1999)
Gabow, H.N., Tarjan, R.E.: Faster scaling algorithms for network problems. SIAM J. Comput. 18, 1013–1036 (1989)
Hirata, K., Yamamoto, Y., Kuboyama, T.: Improved MAX SNP-Hard Results for Finding an Edit Distance between Unordered Trees. In: Giancarlo, R., Manzini, G. (eds.) CPM 2011. LNCS, vol. 6661, pp. 402–415. Springer, Heidelberg (2011)
Kuboyama, T.: Matching and learning in trees, Ph.D thesis, University of Tokyo (2007), http://tk.cc.gakushuin.ac.jp/doc/kuboyama2007phd.pdf
Kuboyama, T., Shin, K., Kashima, H.: Flexible tree kernels based on counting the number of tree mappings. In: Proc. MLG 2006, pp. 61–72 (2006)
Lu, S.-Y.: A tree-to-tree distance and its application to cluster analysis. IEEE Trans. Pattern Anal. Mach. Intell. 1, 219–224 (1979)
Luke, S., Panait, L.: A survey and comparison of tree generation algorithms. In: Proc. GECCO 2001, pp. 81–88 (2001)
Selkow, S.M.: The tree-to-tree editing problem. Inform. Process. Lett. 6, 184–186 (1977)
Tai, K.-C.: The tree-to-tree correction problem. J. ACM 26, 422–433 (1979)
Wang, J.T.L., Zhang, K.: Finding similar consensus between trees: An algorithm and a distance hierarchy. Pattern Recog. 34, 127–137 (2001)
Wang, Y., DeWitt, D.J., Cai, J.-Y.: X-Diff: An effective change detection algorithm for XML documents. In: Proc. ICDE 2003, pp. 519–530 (2003)
Zhang, K.: Algorithms for the constrained editing distance between ordered labeled trees and related problems. Pattern Recog. 28, 463–474 (1995)
Zhang, K.: A constrained edit distance between unordered labeled trees. Algorithmica 15, 205–222 (1996)
Zhang, K., Jiang, T.: Some MAX SNP-hard results concerning unordered labeled trees. Inform. Process. Let. 49, 249–254 (1994)
Zhang, K., Statman, R., Shasha, D.: On the editing distance between unordered labeled trees. Inform. Process. Let. 42, 133–139 (1992)
Zhang, K., Wang, J., Shasha, D.: On the editing distance between undirected acyclic graphs. Int. J. Found. Comput. Sci. 7, 43–58 (1995)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Yamamoto, Y., Hirata, K., Kuboyama, T. (2012). On Computing Tractable Variations of Unordered Tree Edit Distance with Network Algorithms. In: Okumura, M., Bekki, D., Satoh, K. (eds) New Frontiers in Artificial Intelligence. JSAI-isAI 2011. Lecture Notes in Computer Science(), vol 7258. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32090-3_19
Download citation
DOI: https://doi.org/10.1007/978-3-642-32090-3_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-32089-7
Online ISBN: 978-3-642-32090-3
eBook Packages: Computer ScienceComputer Science (R0)