Hashed Patricia Trie: Efficient Longest Prefix Matching in Peer-to-Peer Systems

  • Sebastian Kniesburges
  • Christian Scheideler
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6552)


The design of efficient search structures for peer-to-peer systems has attracted a lot of attention in recent years. In this paper we address the problem of longest prefix matching and present an efficient data structure called hashed Patricia trie. Our hashed Patricia trie supports Prefixsearch(x) and Insert(x) in \(\mathcal O(\log \left|x\right|)\) hash table accesses and Delete(x) in \(\mathcal O(1)\) hash table accesses when |x| is the number of bits used to encode x. That is the costs only depend on |x| and not the size of the data structure. The hash table accesses may be realized by any distributed hash table (DHT).


Shared Memory Hash Table Binary Search Range Query Binary String 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Aspnes, J., Shah, G.: Skip graphs. In: Fourteenth Annual ACM-SIAM Symposium on Discrete Algorithms, Baltimore, MD, USA, January 12-14, pp. 384–393 (2003)Google Scholar
  2. 2.
    Awerbuch, B., Scheideler, C.: Peer-to-peer systems for prefix search. In: Proceedings of the Twenty-second Annual Symposium on Principles of Distributed Computing, PODC 2003, pp. 123–132. ACM, New York (2003), CrossRefGoogle Scholar
  3. 3.
    Bayer, R., Unterauer, K.: Prefix b-trees. ACM Trans. Database Syst. 2(1), 11–26 (1977), doi:10.1145/320521.320530CrossRefGoogle Scholar
  4. 4.
    Cormen, T.H., Leiserson, C.E., Rivest, R.L., Stein, C.: Introduction to Algorithms. MIT Press/McGraw-Hill (2001)Google Scholar
  5. 5.
    van Emde Boas, P., Kaas, R., Zijlstra, E.: Design and implementation of an efficient priority queue. Mathematical Systems Theory 10, 99–127 (1977)MathSciNetCrossRefzbMATHGoogle Scholar
  6. 6.
    Knuth, D.E.: The Art of Computer Programming: Sorting and Searching, 2nd edn., vol. 3. Addison Wesley, Reading (1997)zbMATHGoogle Scholar
  7. 7.
    Kumar, S., Turner, J.S., Crowley, P., Mitzenmacher, M.: Hexa: Compact data structures for faster packet processing. In: ICNP, pp. 246–255 (2007)Google Scholar
  8. 8.
    Litwin, W.: Trie hashing. In: Lien, Y.E. (ed.) SIGMOD Conference, pp. 19–29. ACM Press, New York (1981)Google Scholar
  9. 9.
    Litwin, W., Roussopoulos, N., Lévy, G., Hong, W.: Trie hashing with controlled load. IEEE Trans. Software Eng. 17(7), 678–691 (1991)MathSciNetCrossRefGoogle Scholar
  10. 10.
    Morrison, D.R.: Patricia—practical algorithm to retrieve information coded in alphanumeric. J. ACM 15(4), 514–534 (1968)CrossRefGoogle Scholar
  11. 11.
    Patrascu, M., Thorup, M.: Time-space trade-offs for predecessor search. CoRR abs/cs/0603043 (2006)Google Scholar
  12. 12.
    Ramabhadran, S., Hellerstein, J., Ratnasamy, S., Shenker, S.: Prefix hash tree - an indexing data structure over distributed hash tables,
  13. 13.
    Rowstron, A.I.T., Druschel, P.: Pastry: Scalable, decentralized object location, and routing for large-scale peer-to-peer systems. In: Liu, H. (ed.) Middleware 2001. LNCS, vol. 2218, pp. 329–350. Springer, Heidelberg (2001), CrossRefGoogle Scholar
  14. 14.
    Stoica, I., Morris, R., Karger, D., Kaashoek, M.F., Balakrishnan, H.: Chord: A scalable peer-to-peer lookup service for internet applications. In: SIGCOMM 2001: Proceedings of the 2001 Conference on Applications, Technologies, Architectures, and Protocols for Computer Communications, pp. 149–160. ACM, New York (2001)CrossRefGoogle Scholar
  15. 15.
    Waldvogel, M., Varghese, G., Turner, J., Plattner, B.: Scalable best matching prefix lookups. In: PODC 1998: Proceedings of the Seventeenth Annual ACM Symposium on Principles of Distributed Computing, p. 312. ACM, New York (1998)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Sebastian Kniesburges
    • 1
  • Christian Scheideler
    • 1
  1. 1.Department of Computer ScienceUniversity of PaderbornPaderbornGermany

Personalised recommendations