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Constructing LZ78 Tries and Position Heaps in Linear Time for Large Alphabets

We present the first worst-case linear-time algorithm to compute the Lempel-Ziv 78 factorization of a given string over an integer alphabet. Our algorithm is based on nearest marked ancestor queries on the suffix tree of the given string. We also show that the same technique can be used to construct the position heap of a set of strings in worst-case linear time, when the set of strings is given as a trie.

preprint2015arXivOpen access
Yuto NakashimaTomohiro IShunsuke InenagaHideo BannaiMasayuki Takeda
Data Structures and Algorithms
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Open access5 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
Citations: 0Reviews: 0Saves: 0Code: not linkedDataset: not linkedInstitutions: 0

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Yuto NakashimaTomohiro IShunsuke InenagaHideo BannaiMasayuki Takeda

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