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[Author] Takuya TAKAGI(1hit)

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  • Packed Compact Tries: A Fast and Efficient Data Structure for Online String Processing

    Takuya TAKAGI  Shunsuke INENAGA  Kunihiko SADAKANE  Hiroki ARIMURA  

     
    PAPER

      Vol:
    E100-A No:9
      Page(s):
    1785-1793

    We present a new data structure called the packed compact trie (packed c-trie) which stores a set S of k strings of total length n in nlog σ+O(klog n) bits of space and supports fast pattern matching queries and updates, where σ is the alphabet size. Assume that α=logσn letters are packed in a single machine word on the standard word RAM model, and let f(k,n) denote the query and update times of the dynamic predecessor/successor data structure of our choice which stores k integers from universe [1,n] in O(klog n) bits of space. Then, given a string of length m, our packed c-tries support pattern matching queries and insert/delete operations in $O( rac{m}{alpha} f(k,n))$ worst-case time and in $O( rac{m}{alpha} + f(k,n))$ expected time. Our experiments show that our packed c-tries are faster than the standard compact tries (a.k.a. Patricia trees) on real data sets. We also discuss applications of our packed c-tries.