Faster suffix sorting

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چکیده

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Faster suffix sorting

We propose a fast and memory efficient algorithm for lexicographically sorting the suffixes of a string, a problem that has important applications in data compression as well as string matching. Our algorithm eliminates much of the overhead of previous specialized approaches while maintaining their robustness for all kinds of input. For input size n, our algorithm operates in only two integer a...

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Faster Sparse Suffix Sorting

The sparse suffix sorting problem is to sort b = o(n) arbitrary suffixes of a string of length n using o(n) words of space in addition to the string. We present an O(n) time Monte Carlo algorithm using O(b log b) space and an O(n log b) time Las Vegas algorithm using O(b) space. This is a significant improvement over the best prior solutions by Bille et al. (ICALP 2013): a Monte Carlo algorithm...

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In-Place Suffix Sorting

Given string T = T [1, . . . , n], the suffix sorting problem is to lexicographically sort the suffixes T [i, . . . , n] for all i. This problem is central to the construction of suffix arrays and trees with many applications in string processing, computational biology and compression. A bottleneck in these applications is the amount of workspace needed to perform suffix sorting beyond the spac...

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Notes on Suffix Sorting

We study the problem of lexicographically sorting the suffixes of a string of symbols. In particular, we analyze the time complexity of Sadakane’s suffix sorting algorithm [8], showing that this is O(n log n) in the worst case. We also give a small improvement in the space requirements of this algorithm. We conclude that Sadakane’s algorithm, which has previously been shown to outperform the cl...

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Parallel Suffix Sorting

We present a parallel algorithm for lexicographically sorting the suffixes of a string. Suffix sorting has applications in string processing, data compression and computational biology. The ordered list of suffixes of a string stored in an array is known as Suffix Array, an important data structure in string processing and computational biology. Our focus is on deriving a practical implementati...

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 2007

ISSN: 0304-3975

DOI: 10.1016/j.tcs.2007.07.017