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» Approximating edit distance in near-linear time
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STOC
2009
ACM
182views Algorithms» more  STOC 2009»
14 years 5 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»
14 years 4 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
13 years 8 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, ...
SODA
2010
ACM
181views Algorithms» more  SODA 2010»
13 years 3 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
13 years 9 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