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The LZ-index: A Text Index Based on the Ziv-Lempel Trie Export

(2003)

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Let a text of u characters over an alphabet of size be compressible to n symbols by the LZ78 or LZW algorithm. We show how to build a data structure, called the LZ-index, based on the Ziv-Lempel trie that takes 4n log 2 n(1 + o(1)) bits of space (that is, 4 times the entropy of the text) and reports the R occurrences of a pattern of length m in worst case time O(m log +(m+R) log n). We present a practical implementation of the LZ-index with average search time O(m log u + uR). It ...


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