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Forest Search: A Paradigm for Faster Exploration of Scale-Free Networks

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Book cover Parallel and Distributed Processing and Applications (ISPA 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4330))

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Abstract

Scale-free networks naturally model wide area networks like the WWW. We consider the problem of fast exploration of huge scale-free networks using small memory space. Although there are many search algorithms for exploring an unknown graph, they require much space or time. For example, the depth first search requires some memory for all the nodes in the worst case, and the average number of steps in the random walk is O(n 3), where n is the size of the graph. Under assumptions reflecting WWW applications, we propose a new exploration paradigm called forest search particularly designed for scale-free networks, and theoretically evaluate its space complexity. We also demonstrate its superiority over random walk based search algorithms by conducting simulations.

This research partly received financial support from Scientific research fund of ministry of Education, Culture, Sports, Science and Technology.

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References

  1. Albert, R., Barabási, A.-L.: Statistical Mechanics of Complex Networks. Reviews Of Modern Physics 74, 47–97 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  2. Amaral, L.A.N., Scala, A., Barthélé, M., Stanley, H.E.: Classes of small-world networks. Proceeding of The National Academy of Sciences 97, 11149–11152 (2000)

    Article  Google Scholar 

  3. Avis, D., Fukuda, K.: Reverse search for enumeration. Discrete Applied Mathematics 65, 21–46 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  4. Barabási, A.-L., Albert, R., Jeong, H.: Mean-field theory for scale-free random networks. Physica A 272, 173–187 (1999)

    Article  Google Scholar 

  5. Bollobás, B., Riordan, O.: The degree sequence of a scale-free random graph process. Random Structure and Algorithms 18, 279–290 (2001)

    Article  MATH  Google Scholar 

  6. Bollobas, B., Riordan, O.: The diameter of a scale-free random graph. Combinatorica 24, 5–34 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  7. Brightwell, G., Winkler, P.: Maximum Hitting Time for Random Walks on Graphs. J. Random Structures and Algorithms 3, 263–276 (1990)

    Article  MathSciNet  Google Scholar 

  8. Ebel, H., Mielsch, L.-I., Bornholdt, S.: Scale-free topology of e-mail networks. Pysical Review E 66, 1–4 (2002)

    Google Scholar 

  9. Erdős, P., Rényi, A.: On random graphs. Publ. Math. Debrecen 6, 290–297 (1959)

    MathSciNet  Google Scholar 

  10. Feige, U.: A tight upper bound on the cover time for random walks on graphs. J. Random Structures and Algorithms 6, 51–54 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  11. Flocchini, P., Mans, B., Santoro, N.: On the Impact of Sense of Direction on Message Complexity. Inf. Process. Lett. 63(1), 23–31 (1997)

    Article  MathSciNet  Google Scholar 

  12. Fraigniaud, P., Gavoille, C., Mans, B.: Interval routing schemes allow broadcasting with linear message-complexity. Distributed Computing 14(4), 217–229 (2001)

    Article  Google Scholar 

  13. Ikeda, S., Kubo, I., Yamashita, M.: Reducing the Hitting and the Cover Times of Random Walks on Finite Graphs by Local Topological Information. In: Proceedings of The 2003 International Conference on VLSI, pp. 203–207 (2003)

    Google Scholar 

  14. Kurumida, Y., Ogata, T., Ono, H., Sadakane, K., Yamashita, M.: A Generic Search Strategy for Large Scale Real World Networks. In: Proc. of the 1st International Conference on Scalable Information Systems. ACM, Digital Library (2006)

    Google Scholar 

  15. Panaite, P., Pelc, A.: Impact of topographic information on graph exploration efficiency. Networks 36(2), 96–103 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  16. Watts, D.J., Strogatz, S.H.: Collective dynamics of small-world networks. Nature 393, 440–442 (1998)

    Article  Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Kurumida, Y., Ono, H., Sadakane, K., Yamashita, M. (2006). Forest Search: A Paradigm for Faster Exploration of Scale-Free Networks. In: Guo, M., Yang, L.T., Di Martino, B., Zima, H.P., Dongarra, J., Tang, F. (eds) Parallel and Distributed Processing and Applications. ISPA 2006. Lecture Notes in Computer Science, vol 4330. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11946441_9

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  • DOI: https://doi.org/10.1007/11946441_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-68067-3

  • Online ISBN: 978-3-540-68070-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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