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The Cartographer
Constructing LZ78 Tries and Position Heaps in Linear Time for Large Alphabets
January 26, 2015 Β· Declared Dead Β· π Information Processing Letters
"No code URL or promise found in abstract"
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Authors
Yuto Nakashima, Tomohiro I, Shunsuke Inenaga, Hideo Bannai, Masayuki Takeda
arXiv ID
1501.06619
Category
cs.DS: Data Structures & Algorithms
Citations
17
Venue
Information Processing Letters
Last Checked
3 months ago
Abstract
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.
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