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Finding Frequent Subgraphs from Graph Structured Data with Geometric Information and Its Application to Lossless Compression

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Abstract

In this paper, we present an effective algorithm for extracting characteristic substructures from graph structured data with geometric information, such as CAD, map data and drawing data. Moreover, as an application of our algorithm, we give a method of lossless compression for such data. First, in order to deal with graph structured data with geometric information, we give a layout graph which has the total order on all vertices. As a knowledge representation, we define a layout term graph with structured variables. Secondly, we present an algorithm for finding frequent connected subgraphs in given data. This algorithm is based on levelwise strategies like Apriori algorithm by focusing on the total order on vertices. Next, we design a method of lossless compression of graph structured data with geometric information by introducing the notion of a substitution in logic programming. In general, analyzing large graph structured data is a time consuming process. If we can reduce the number of vertices without loss of information, we can speed up such a heavy process. Finally, in order to show an effectiveness of our method, we report several experimental results.

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References

  1. R. Agrawal and R. Srikant. Fast algorithms for mining association rules. Proc. of the 20th VLDB Conference, pages 487–499, 1994.

    Google Scholar 

  2. D. J. Cook and L. B. Holder. Substructure discovery using minimum description length and background knowledge. Journal of Artificial Intelligence Research, 1:231–255, 1994.

    Google Scholar 

  3. D. J. Cook and L. B. Holder. Graph-based data mining. IEEE Intelligent Systems, 15(2):32–41, 2000.

    Article  Google Scholar 

  4. A. Inokuchi, T. Washio, and H. Motoda. An Apriori-based algorithm for mining frequent substructures from graph data. Proc. PAKDD-2000, Springer-Verlag, LNAI 1805, pages 13–23, 2000.

    Google Scholar 

  5. T. Matsuda, T. Horiuchi, H. Motoda, and T. Washio. Extension of graph-based induction for general graph structured data. Proc. PAKDD-2000, Springer-Verlag, LNAI 1805, pages 420–431, 2000.

    Google Scholar 

  6. T. Miyahara, T. Uchida, T. Shoudai, T. Kuboyama, K. Takahashi, and H. Ueda. Discovering knowledge from graph structured data by using refutably inductive inference of formal graph systems. IEICE Trans. Inf. Syst., E84-D(1):48–56, 2001.

    Google Scholar 

  7. T. Uchida, Y. Itokawa, T. Shoudai, T. Miyahara, and Y. Nakamura. A new framework for discovering knowledge from two-dimensional structured data using layout formal graph system. Proc. ALT-00, Springer-Verlag, LNAI 1968, pages 141–155, 2000.

    Google Scholar 

  8. T. Uchida, T. Shoudai, and S. Miyano. Parallel algorithm for refutation tree problem on formal graph systems. IEICE Trans. Inf. Syst., E78-D(2):99–112, 1995.

    Google Scholar 

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© 2003 Springer-Verlag Berlin Heidelberg

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Itokawa, Y., Uchida, T., Shoudai, T., Miyahara, T., Nakamura, Y. (2003). Finding Frequent Subgraphs from Graph Structured Data with Geometric Information and Its Application to Lossless Compression. In: Whang, KY., Jeon, J., Shim, K., Srivastava, J. (eds) Advances in Knowledge Discovery and Data Mining. PAKDD 2003. Lecture Notes in Computer Science(), vol 2637. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36175-8_58

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  • DOI: https://doi.org/10.1007/3-540-36175-8_58

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04760-5

  • Online ISBN: 978-3-540-36175-6

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