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- W2144759920 abstract "We study the Document Listing problem, where a collection D of documents d 1,...,d k of total length ∑ i d i = n is to be preprocessed, so that one can later efficiently list all the (textrm{ndoc}) documents containing a given query pattern P of length m as a substring. Muthukrishnan (SODA 2002) gave an optimal solution to the problem; with O(n) time preprocessing, one can answer the queries in (O(m+textrm{ndoc})) time. In this paper, we improve the space-requirement of the Muthukrishnan’s solution from O(n logn) bits to |CSA| + 2n + nlogk (1 + o(1)) bits, where |CSA| ≤ n log|Σ|(1 + o(1)) is the size of any suitable compressed suffix array (CSA), and Σ is the underlying alphabet of documents. The time requirement depends on the CSA used, but we can obtain e.g. the optimal (O(m+textrm{ndoc})) time when Open image in new window . For general |Σ|,k the time requirement becomes (O(m log |Sigma|+textrm{ndoc} log k)). Sadakane (ISAAC 2002) has developed a similar space-efficient variant of the Muthukrishnan’s solution; we obtain a better time requirement in most cases, but a slightly worse space requirement." @default.
- W2144759920 created "2016-06-24" @default.
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- W2144759920 date "2007-08-13" @default.
- W2144759920 modified "2023-09-26" @default.
- W2144759920 title "Space-Efficient Algorithms for Document Retrieval" @default.
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- W2144759920 doi "https://doi.org/10.1007/978-3-540-73437-6_22" @default.
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