Nothing Special   »   [go: up one dir, main page]

skip to main content
article

An Optimization of Closed Frequent Subgraph Mining Algorithm

Published: 01 March 2017 Publication History

Abstract

Graph mining isamajor area of interest within the field of data mining in recent years. Akey aspect of graph mining is frequent subgraph mining. Central to the entire discipline of frequent subgraph mining is the concept of subgraph isomorphism. One major issue in early subgraph isomorphism research concerns computational complexity. Normally, the subgraph isomorphism problem is NP-complete. Previous studies of frequent subgraph mining have not solved NP-complete problem in the subgraph isomorphism. In this paper, we proposeanew algorithm which can deal with this problem. The proposed algorithm can solve the subgraph isomorphism in polynomial time in some settings. Moreover, the new algorithm is proved theoretically more effective than previous studies in closed frequent subgraph mining.

References

[1]
1. Demetrovics, J., V. D. Thi, N. L. Giang. On Finding All Reducts of Consistent Decision Tables. - Cybernetics and Information Technologies, Vol. 14, 2014, No 4, pp. 3-10.
[2]
2. Eppstein, D. Subgraph Isomorphism in Planar Graphs and Related Problems. - In SODA, Vol. 95, 1995, pp. 632-640.
[3]
3. Garey, M. R., D. S. Johnso n. Computers and Intractability: An Introduction to the Theory of Np-Completeness. San Francisco, 1979.
[4]
4. Han, J., H. Cheng, D. Xin, X. Yan. Frequent Pattern Mining: Current Status and Future Directions. - Data Mining and Knowledge Discovery, Vol. 15, 2007, No 1, pp. 55-86.
[5]
5. Hopcroft, J. E., R. E. Tarjan. Isomorphism of Planar Graphs. - In: Complexity of Computer Computations. Springer, 1972, pp. 131-152.
[6]
6. Huan J., W. Wang, J. Prins. Efficient Mining of Frequent Subgraphs in the Presence of Isomorphism. - In: 3rd IEEE International Conference on Data Mining, 2003 (ICDM’2003), IEEE, 2003, pp. 549-552.
[7]
7. Huan, J., W. Wang, J. Prins, J. Yang. Spin: Mining Maximal Frequent Subgraphs from Graph Databases. - In: Proc. of 10th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, ACM, 2004, pp. 581-586.
[8]
8. Inokuchi, A., T. Washio, H. Motoda. An Apriori-Based Algorithm for Mining Frequent Substructures from Graph Data. - In: European Conference on Principles of Data Mining and Knowledge Discovery, Springer, 2000, pp. 13-23.
[9]
9. Kuramochi M., G. Karypi s. Frequent Subgraph Discovery. - In: Proc. of IEEE International Conference on Data Mining, 2001. ICDM 2001, IEEE, 2001, pp. 313-320.
[10]
10. Mc Kay, B. D., et al. Practical Graph Isomorphism. Department of Computer Science, Vanderbilt University Tennessee, US, 1981.
[11]
11. Read, R. C., D. G. Cornei l. The Graph Isomorphism Disease. - Journal of Graph Theory, Vol. 1, 1977, No 4, pp. 339-363.
[12]
12. Savage, J. E. Models of Computation. Exploring the Power of Computing, 1998.
[13]
13. Thi, V. D., N. L. Giang. A Method to Constructa Decision Table froma Relation Scheme. - Cybernetics and Information Technologies, Vol. 11, 2011, No 3, pp. 32-41.
[14]
14. Thomas, L. T., S. R. Valluri, K. Karlapalem. Margin: Maximal Frequent Subgraph Mining. - ACM Transactions on Knowledge Discovery from Data (TKDD), Vol. 4, 2010, No 3, pp. 10.
[15]
15. Ullmann, J. R. An Algorithm for Subgraph Isomorphism. - Journal of the ACM (JACM), Vol. 23, 1976, No 1, pp. 31-42.
[16]
16. Washio, T., H. Motoda. State of the Art of Graph-Based Data Mining. - ACM Sigkdd Explorations Newsletter, Vol. 5, 2003, No 1, pp. 59-68.
[17]
17. Yan, X., J. Han. GSPAN: Graph-Based Substructure Pattern Mining. - In: Proc. of 2002 IEEE International Conference on Data Mining, 2002. ICDM 2003, IEEE, 2002, pp. 721-724.
[18]
18. Yan, X., J. Han. Closegraph: Mining Closed Frequent Graph Patterns. - In: Proc. of 9th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, ACM, 2003, pp. 286-295.

Cited By

View all
  • (2022)Frequent Closed Subgraph Mining: A Multi-thread ApproachIntelligent Information and Database Systems10.1007/978-3-031-21743-2_6(64-77)Online publication date: 28-Nov-2022

Recommendations

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image Cybernetics and Information Technologies
Cybernetics and Information Technologies  Volume 17, Issue 1
Mar 2017
161 pages
ISSN:1314-4081
EISSN:1314-4081
Issue’s Table of Contents
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Publisher

Walter de Gruyter GmbH

Berlin, Germany

Publication History

Published: 01 March 2017

Author Tags

  1. Frequent patterns
  2. closed frequent subgraph
  3. frequent subgraphs
  4. subgraph mining
  5. subgraph isomorphism

Qualifiers

  • Article

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)0
  • Downloads (Last 6 weeks)0
Reflects downloads up to 17 Feb 2025

Other Metrics

Citations

Cited By

View all
  • (2022)Frequent Closed Subgraph Mining: A Multi-thread ApproachIntelligent Information and Database Systems10.1007/978-3-031-21743-2_6(64-77)Online publication date: 28-Nov-2022

View Options

View options

Figures

Tables

Media

Share

Share

Share this Publication link

Share on social media