Improved algorithms for the range next value problem and applications
The Range Next Value problem (problem RNV) is a recent interesting variant of the range search problems, where the query is for the immediate next (or equal) value of a given number within a given interval of an array. Problem RNV was introduced and studied very recently by Crochemore et al. [Maxime...
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Veröffentlicht in: | Theoretical computer science 2012-05, Vol.434, p.23-34 |
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creator | Crochemore, Maxime Iliopoulos, Costas S. Kubica, Marcin Rahman, M. Sohel Tischler, German Waleń, Tomasz |
description | The Range Next Value problem (problem RNV) is a recent interesting variant of the range search problems, where the query is for the immediate next (or equal) value of a given number within a given interval of an array. Problem RNV was introduced and studied very recently by Crochemore et al. [Maxime Crochemore, Costas S. Iliopoulos, M. Sohel Rahman, Finding patterns in given intervals, in: Antonin Kucera, Ludek Kucera (Eds.), MFCS, 22 in: Lecture Notes in Computer Science, vol. 4708, Springer, 2007, pp. 645–656]. In this paper, we present improved algorithms for problem RNV and algorithms for extended versions of the RNV problem. We also show how this problem can be used to achieve optimal query time for a number of interesting variants of the classic pattern matching problems. |
doi_str_mv | 10.1016/j.tcs.2012.02.015 |
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subjects | Algorithms Computer Science Data structures Data Structures and Algorithms Range search problems |
title | Improved algorithms for the range next value problem and applications |
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