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» Approximating edit distance in near-linear time
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STOC
2009
ACM
182views Algorithms» more  STOC 2009»
16 years 6 months ago
Approximating edit distance in near-linear time
We show how to compute the edit distance between two strings of length n up to a factor of 2 ~O( log n) in n1+o(1) time. This is the first sub-polynomial approximation algorithm f...
Alexandr Andoni, Krzysztof Onak
STOC
2003
ACM
98views Algorithms» more  STOC 2003»
16 years 6 months ago
A sublinear algorithm for weakly approximating edit distance
We show how to determine whether the edit distance between two given strings is small in sublinear time. Specifically, we present a test which, given two n-character strings A and...
Tugkan Batu, Funda Ergün, Joe Kilian, Avner M...
FOCS
2004
IEEE
15 years 10 months ago
Approximating Edit Distance Efficiently
Edit distance has been extensively studied for the past several years. Nevertheless, no linear-time algorithm is known to compute the edit distance between two strings, or even to...
Ziv Bar-Yossef, T. S. Jayram, Robert Krauthgamer, ...
186
Voted
SODA
2010
ACM
181views Algorithms» more  SODA 2010»
15 years 4 months ago
Near-Optimal Sublinear Time Algorithms for Ulam Distance
We give near-tight bounds for estimating the edit distance between two non-repetitive strings (Ulam distance) with constant approximation, in sub-linear time. For two strings of l...
Alexandr Andoni, Huy L. Nguyen
COMPGEOM
2000
ACM
15 years 10 months ago
When crossings count - approximating the minimum spanning tree
We present an (1+ε)-approximation algorithm for computing the minimum-spanning tree of points in a planar arrangement of lines, where the metric is the number of crossings betwee...
Sariel Har-Peled, Piotr Indyk