TY - GEN
T1 - Approximating edit distance within constant factor in truly sub-quadratic time
AU - Chakraborty, Diptarka
AU - Das, Debarati
AU - Goldenberg, Elazar
AU - Koucký, Michal
AU - Saks, Michael
N1 - Funding Information:
The research leading to these results has received funding from the European Research Council under the European Union’s Seventh Framework Programme (FP/2007-2013)/ERC Grant Agreement no. 616787. Supported in part by Simons Foundation under award 332622
Publisher Copyright:
© 2018 IEEE.
PY - 2018/11/30
Y1 - 2018/11/30
N2 - Edit distance is a measure of similarity of two strings based on the minimum number of character insertions, deletions, and substitutions required to transform one string into the other. The edit distance can be computed exactly using a dynamic programming algorithm that runs in quadratic time. Andoni, Krauthgamer and Onak (2010) gave a nearly linear time algorithm that approximates edit distance within approximation factor poly(logn). In this paper, we provide an algorithm with running time Õ(n 2-2/7 ) that approximates the edit distance within a constant factor.
AB - Edit distance is a measure of similarity of two strings based on the minimum number of character insertions, deletions, and substitutions required to transform one string into the other. The edit distance can be computed exactly using a dynamic programming algorithm that runs in quadratic time. Andoni, Krauthgamer and Onak (2010) gave a nearly linear time algorithm that approximates edit distance within approximation factor poly(logn). In this paper, we provide an algorithm with running time Õ(n 2-2/7 ) that approximates the edit distance within a constant factor.
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U2 - 10.1109/FOCS.2018.00096
DO - 10.1109/FOCS.2018.00096
M3 - Conference contribution
AN - SCOPUS:85059809812
T3 - Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS
SP - 979
EP - 990
BT - Proceedings - 59th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2018
A2 - Thorup, Mikkel
PB - IEEE Computer Society
T2 - 59th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2018
Y2 - 7 October 2018 through 9 October 2018
ER -