Creative Commons Attribution 4.0 International license
The edit distance (or Levenshtein distance) between two strings x, y is the minimum number of character insertions, deletions, and substitutions needed to convert x into y. It has numerous applications in various fields from text processing to bioinformatics so algorithms for edit distance computation attract lot of attention. In this talk I will survey recent progress on computational aspects of edit distance in several contexts: computing edit distance approximately, sketching and computing it in streaming model, exchanging strings in communication complexity model, and building error correcting codes for edit distance. I will point out many problems that are still open in those areas.
@InProceedings{koucky:LIPIcs.CPM.2021.2,
author = {Kouck\'{y}, Michal},
title = {{Computing Edit Distance}},
booktitle = {32nd Annual Symposium on Combinatorial Pattern Matching (CPM 2021)},
pages = {2:1--2:1},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-186-3},
ISSN = {1868-8969},
year = {2021},
volume = {191},
editor = {Gawrychowski, Pawe{\l} and Starikovskaya, Tatiana},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CPM.2021.2},
URN = {urn:nbn:de:0030-drops-139534},
doi = {10.4230/LIPIcs.CPM.2021.2},
annote = {Keywords: edit distance, streaming algorithms, approximation algorithms, sketching}
}