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Top-\(k\) document retrieval in external memory. (English) Zbl 1394.68129
Bodlaender, Hans L. (ed.) et al., Algorithms – ESA 2013. 21st annual European symposium, Sophia Antipolis, France, September 2–4, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-40449-8/pbk). Lecture Notes in Computer Science 8125, 803-814 (2013).
Summary: Let \(\mathcal{D}\) be a given set of (string) documents of total length \(n\). The top-\(k\) document retrieval problem is to index \(\mathcal{D}\) such that when a pattern \(P\) of length \(p\), and a parameter \(k\) come as a query, the index returns those \(k\) documents which are most relevant to \(P\). We present the first non-trivial external memory index supporting top-\(k\) document retrieval queries in optimal \(O(\frac pB + \log _{B } n + \frac kB)\) I/Os, where \(B\) is the block size. The index space is almost linear \(O(n \log^{*} n)\) words.
For the entire collection see [Zbl 1270.68017].

68P20 Information storage and retrieval of data
68P05 Data structures
68W40 Analysis of algorithms
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