{"id":"https://openalex.org/W2888157438","doi":"https://doi.org/10.1145/3422823","title":"Approximating Edit Distance Within Constant Factor in Truly Sub-quadratic Time","display_name":"Approximating Edit Distance Within Constant Factor in Truly Sub-quadratic Time","publication_year":2020,"publication_date":"2020-10-29","ids":{"openalex":"https://openalex.org/W2888157438","doi":"https://doi.org/10.1145/3422823","mag":"2888157438"},"language":"en","primary_location":{"id":"doi:10.1145/3422823","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3422823","pdf_url":null,"source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1810.03664","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Diptarka Chakraborty","orcid":"https://orcid.org/0000-0002-0687-5823"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Diptarka Chakraborty","raw_affiliation_strings":["School of Computing, National University of Singapore, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-0687-5823","affiliations":[{"raw_affiliation_string":"School of Computing, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Debarati Das","orcid":null},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Debarati Das","raw_affiliation_strings":["University of Copenhagen, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Copenhagen, Denmark","institution_ids":["https://openalex.org/I124055696"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Elazar Goldenberg","orcid":null},"institutions":[{"id":"https://openalex.org/I4210141777","display_name":"Academic College of Tel Aviv-Yafo","ror":"https://ror.org/04cg6c004","country_code":"IL","type":"education","lineage":["https://openalex.org/I4210141777"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Elazar Goldenberg","raw_affiliation_strings":["The Academic College of Tel-Aviv-Yaffo, Yaffo, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Academic College of Tel-Aviv-Yaffo, Yaffo, Israel","institution_ids":["https://openalex.org/I4210141777"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Michal Kouck\u00fd","orcid":null},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Michal Kouck\u00fd","raw_affiliation_strings":["Charles University, Prague, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Charles University, Prague, Czech Republic","institution_ids":["https://openalex.org/I21250087"]}]},{"author_position":"last","author":{"id":null,"display_name":"Michael Saks","orcid":null},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Saks","raw_affiliation_strings":["Department of Mathematics, Rutgers University, Piscataway, NJ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rutgers University, Piscataway, NJ, USA","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4775,"has_fulltext":true,"cited_by_count":22,"citation_normalized_percentile":{"value":0.85635394,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"67","issue":"6","first_page":"1","last_page":"22"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.786300003528595,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.786300003528595,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13664","display_name":"Genome Rearrangement Algorithms","score":0.051100000739097595,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11719","display_name":"Data Quality and Management","score":0.019300000742077827,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/edit-distance","display_name":"Edit distance","score":0.9621000289916992},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5885999798774719},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.5181999802589417},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.4844000041484833},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.48330000042915344},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.43689998984336853},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.43140000104904175},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.41269999742507935}],"concepts":[{"id":"https://openalex.org/C44359876","wikidata":"https://www.wikidata.org/wiki/Q5338467","display_name":"Edit distance","level":2,"score":0.9621000289916992},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5885999798774719},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5863000154495239},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.5181999802589417},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4869000017642975},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.4844000041484833},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.48330000042915344},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4560999870300293},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.43689998984336853},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.43140000104904175},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.41269999742507935},{"id":"https://openalex.org/C22820288","wikidata":"https://www.wikidata.org/wiki/Q9050568","display_name":"String metric","level":4,"score":0.40529999136924744},{"id":"https://openalex.org/C2780861071","wikidata":"https://www.wikidata.org/wiki/Q1062934","display_name":"Character (mathematics)","level":2,"score":0.4025999903678894},{"id":"https://openalex.org/C2781039887","wikidata":"https://www.wikidata.org/wiki/Q1391724","display_name":"Factor (programming language)","level":2,"score":0.3953000009059906},{"id":"https://openalex.org/C3017489831","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Running time","level":2,"score":0.3944000005722046},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.35089999437332153},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3472000062465668},{"id":"https://openalex.org/C2776517306","wikidata":"https://www.wikidata.org/wiki/Q29017317","display_name":"Similarity measure","level":2,"score":0.3407000005245209},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3061000108718872},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.3037000000476837},{"id":"https://openalex.org/C7757238","wikidata":"https://www.wikidata.org/wiki/Q374040","display_name":"String searching algorithm","level":3,"score":0.28619998693466187},{"id":"https://openalex.org/C2639959","wikidata":"https://www.wikidata.org/wiki/Q1344778","display_name":"Distance measures","level":2,"score":0.2827000021934509},{"id":"https://openalex.org/C32610155","wikidata":"https://www.wikidata.org/wiki/Q1798621","display_name":"Approximate string matching","level":3,"score":0.2791000008583069},{"id":"https://openalex.org/C73621898","wikidata":"https://www.wikidata.org/wiki/Q2940504","display_name":"Distance transform","level":3,"score":0.2540000081062317},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.25060001015663147}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/3422823","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3422823","pdf_url":null,"source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1810.03664","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1810.03664","pdf_url":"https://arxiv.org/pdf/1810.03664","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/143079cb-281b-4bac-9b91-0edd99cc873f","is_oa":false,"landing_page_url":"https://researchprofiles.ku.dk/da/publications/143079cb-281b-4bac-9b91-0edd99cc873f","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Chakraborty , D , Das , D , Goldenberg , E , Kouck\u00fd , M & Saks , M 2020 , ' Approximating Edit Distance Within Constant Factor in Truly Sub-quadratic Time ' , Journal of the ACM , vol. 67 , no. 6 , 36 . https://doi.org/10.1145/3422823","raw_type":"article"},{"id":"doi:10.4230/lipics.fsttcs.2019.10","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.fsttcs.2019.10","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"ConferencePaper"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1810.03664","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1810.03664","pdf_url":"https://arxiv.org/pdf/1810.03664","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1134095360","display_name":"\"European Intersectoral Summit on Research and Innovation -second edition- \"\"The Role of the Media in Responsible Research and Innovation\"\"\"","funder_award_id":"332622","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G1993186149","display_name":"Combinatorial Structures and Processes","funder_award_id":"823748","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G2618794763","display_name":null,"funder_award_id":"332622","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G3139065182","display_name":"Efficient approximation algorithms and circuit complexity","funder_award_id":"GX19-27871X","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G3207356259","display_name":null,"funder_award_id":"2007\u20132013","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3345895242","display_name":null,"funder_award_id":"H2020-MSCA","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"},{"id":"https://openalex.org/G3477743816","display_name":null,"funder_award_id":"H2020-MSCA-RISE","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"},{"id":"https://openalex.org/G3800539971","display_name":null,"funder_award_id":"823748","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"},{"id":"https://openalex.org/G4411689835","display_name":null,"funder_award_id":"FP/2007-2013","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"},{"id":"https://openalex.org/G4937468798","display_name":null,"funder_award_id":"H2020","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7546946110","display_name":null,"funder_award_id":"FP/2007-2013)/ERC","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8512683158","display_name":null,"funder_award_id":"H2020-MSCA","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G896728979","display_name":null,"funder_award_id":"FP/2007/2013","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G9644609","display_name":null,"funder_award_id":"H2020 MSCA Rise","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"},{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2888157438.pdf","grobid_xml":"https://content.openalex.org/works/W2888157438.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1482862754","https://openalex.org/W1647671624","https://openalex.org/W1764956874","https://openalex.org/W1969844791","https://openalex.org/W1970026646","https://openalex.org/W1974708980","https://openalex.org/W2011632873","https://openalex.org/W2012010763","https://openalex.org/W2032869782","https://openalex.org/W2055693471","https://openalex.org/W2084812114","https://openalex.org/W2133601898","https://openalex.org/W2178011018","https://openalex.org/W2207058206","https://openalex.org/W2416529140","https://openalex.org/W3034399032","https://openalex.org/W3126626577","https://openalex.org/W4232943531"],"related_works":[],"abstract_inverted_index":{"Edit":[0],"distance":[1,31,60,85],"is":[2],"a":[3,37,52,87],"measure":[4],"of":[5,7,15],"similarity":[6],"two":[8],"strings":[9],"based":[10],"on":[11],"the":[12,27,83],"minimum":[13],"number":[14],"character":[16],"insertions,":[17],"deletions,":[18],"and":[19,48],"substitutions":[20],"required":[21],"to":[22],"transform":[23],"one":[24],"string":[25],"into":[26],"other.":[28],"The":[29],"edit":[30,59,84],"can":[32],"be":[33],"computed":[34],"exactly":[35],"using":[36],"dynamic":[38],"programming":[39],"algorithm":[40,56,73],"that":[41,57,81],"runs":[42],"in":[43],"quadratic":[44],"time.":[45],"Andoni,":[46],"Krauthgamer,":[47],"Onak":[49],"(2010)":[50],"gave":[51],"nearly":[53],"linear":[54],"time":[55,76],"approximates":[58,82],"within":[61,86],"approximation":[62],"factor":[63],"poly(log":[64],"n":[65,78],").":[66],"In":[67],"this":[68],"article,":[69],"we":[70],"provide":[71],"an":[72],"with":[74],"running":[75],"\u00d5(":[77],"2\u22122/7":[79],")":[80],"constant":[88],"factor.":[89]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-08-08T01:25:22.217667","created_date":"2018-08-31T00:00:00"}