Abstract
An outerplanar graph is a planar graph which can be embedded in the plane in such a way that all of vertices lie on the outer boundary. Many semi-structured data like the NCI dataset having about 250,000 chemical compounds can be expressed by outerplanar graphs. In this paper, we consider a data mining problem of extracting structural features from semi-structured data. First of all, we define a block preserving outerplanar graph pattern as an outerplanar graph having structured variables. Then, we present an effective Apriori-like algorithm for enumerating frequent block preserving outerplanar graph patterns from semi-structured data in incremental polynomial time. Lastly, by reporting some preliminary experimental results on a subset of the NCI dataset, we evaluate the performance of our algorithms.
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References
Horváth, T., Ramon, J., Wrobel, S.: Frequent Subgraph Mining in Outerplanar Graphs. In: Proc. KDD 2006, pp. 197–206 (2006)
Lingas, A.: Subgraph isomorphism for biconnected outerplanar graphs in cubic time. Theoretical Computer Science 63, 295–302 (1989)
Miyahara, T., Shoudai, T., Uchida, T., Takahashi, K., Ueda, H.: Polynomial time matching algorithms for tree-like structured patterns in knowledge discovery. In: Terano, T., Chen, A.L.P. (eds.) PAKDD 2000. LNCS, vol. 1805, pp. 5–16. Springer, Heidelberg (2000)
National Cancer Institute - Chemical Dataset, http://cactus.nci.nih.gov/
Shamir, R., Tsur, D.: Faster subtree isomorphism. Journal of Algorithms 33(2), 267–280 (1999)
Suzuki, Y., Inomae, K., Shoudai, T., Miyahara, T., Uchida, T.: A polynomial time matching algorithm of structured ordered tree patterns for data mining from semistructured data. In: Matwin, S., Sammut, C. (eds.) ILP 2002. LNCS (LNAI), vol. 2583, Springer, Heidelberg (2003)
Suzuki, Y., Shoudai, T., Uchida, T., Miyahara, T.: Ordered term tree languages which are polynomial time inductively inferable from positive data. Theoretical Computer Science 350, 63–90 (2006)
Takami, R., Suzuki, Y., Uchida, T., Shoudai, T., Nakamura, Y.: Polynomial time inductive inference of TTSP graph languages from positive data. In: Kramer, S., Pfahringer, B. (eds.) ILP 2005. LNCS (LNAI), vol. 3625, pp. 366–383. Springer, Heidelberg (2005)
Uchida, T., Shoudai, T., Miyano, S.: Parallel algorithm for refutation tree problem on formal graph systems. IEICE Transactions on Information and Systems E78-D(2), 99–112 (1995)
Yamasaki, H., Shoudai, T.: A polynomial time algorithm for finding linear interval graph patterns. In: Cai, J.-Y., Cooper, S.B., Zhu, H. (eds.) TAMC 2007. LNCS, vol. 4484, pp. 67–78. Springer, Heidelberg (2007)
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Sasaki, Y., Yamasaki, H., Shoudai, T., Uchida, T. (2008). Mining of Frequent Block Preserving Outerplanar Graph Structured Patterns. In: Blockeel, H., Ramon, J., Shavlik, J., Tadepalli, P. (eds) Inductive Logic Programming. ILP 2007. Lecture Notes in Computer Science(), vol 4894. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78469-2_24
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DOI: https://doi.org/10.1007/978-3-540-78469-2_24
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-78468-5
Online ISBN: 978-3-540-78469-2
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