{"id":"https://openalex.org/W2560606564","doi":"https://doi.org/10.1017/s0960129515000110","title":"The longest common substring problem","display_name":"The longest common substring problem","publication_year":2015,"publication_date":"2015-05-29","ids":{"openalex":"https://openalex.org/W2560606564","doi":"https://doi.org/10.1017/s0960129515000110","mag":"2560606564"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129515000110","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129515000110","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081848578","display_name":"Maxime Crochemore","orcid":"https://orcid.org/0000-0003-1087-1419"},"institutions":[{"id":"https://openalex.org/I183935753","display_name":"King's College London","ror":"https://ror.org/0220mzb33","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I183935753"]},{"id":"https://openalex.org/I2800365227","display_name":"Paris-Est Sup","ror":"https://ror.org/0268ecp52","country_code":"FR","type":"education","lineage":["https://openalex.org/I2800365227"]},{"id":"https://openalex.org/I4210119896","display_name":"King's College School","ror":"https://ror.org/02bbqcn27","country_code":"GB","type":"education","lineage":["https://openalex.org/I4210119896"]}],"countries":["FR","GB"],"is_corresponding":true,"raw_author_name":"MAXIME CROCHEMORE","raw_affiliation_strings":["Department of Informatics, King's College London, London, UK Email:","Universit\u00e9 Paris-Est, Marne-La-Vall\u00e9e, France"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, King's College London, London, UK Email:","institution_ids":["https://openalex.org/I183935753","https://openalex.org/I4210119896"]},{"raw_affiliation_string":"Universit\u00e9 Paris-Est, Marne-La-Vall\u00e9e, France","institution_ids":["https://openalex.org/I2800365227"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058155947","display_name":"Costas S. Iliopoulos","orcid":"https://orcid.org/0000-0003-3909-0077"},"institutions":[{"id":"https://openalex.org/I183935753","display_name":"King's College London","ror":"https://ror.org/0220mzb33","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I183935753"]},{"id":"https://openalex.org/I4210119896","display_name":"King's College School","ror":"https://ror.org/02bbqcn27","country_code":"GB","type":"education","lineage":["https://openalex.org/I4210119896"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"COSTAS S. ILIOPOULOS","raw_affiliation_strings":["Department of Informatics, King's College London, London, UK Email:","Informatics"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, King's College London, London, UK Email:","institution_ids":["https://openalex.org/I183935753","https://openalex.org/I4210119896"]},{"raw_affiliation_string":"Informatics","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056216160","display_name":"Alessio Langiu","orcid":"https://orcid.org/0000-0002-5706-7500"},"institutions":[{"id":"https://openalex.org/I183935753","display_name":"King's College London","ror":"https://ror.org/0220mzb33","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I183935753"]},{"id":"https://openalex.org/I4210119896","display_name":"King's College School","ror":"https://ror.org/02bbqcn27","country_code":"GB","type":"education","lineage":["https://openalex.org/I4210119896"]},{"id":"https://openalex.org/I900890020","display_name":"University of Palermo","ror":"https://ror.org/044k9ta02","country_code":"IT","type":"education","lineage":["https://openalex.org/I900890020"]}],"countries":["GB","IT"],"is_corresponding":false,"raw_author_name":"ALESSIO LANGIU","raw_affiliation_strings":["DMI, Universit\u00e0 degli Studi di Palermo, Palermo, Italy","Department of Informatics, King's College London, London, UK Email:"],"affiliations":[{"raw_affiliation_string":"DMI, Universit\u00e0 degli Studi di Palermo, Palermo, Italy","institution_ids":["https://openalex.org/I900890020"]},{"raw_affiliation_string":"Department of Informatics, King's College London, London, UK Email:","institution_ids":["https://openalex.org/I183935753","https://openalex.org/I4210119896"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076592750","display_name":"Filippo Mignosi","orcid":"https://orcid.org/0000-0001-9599-5730"},"institutions":[{"id":"https://openalex.org/I26415053","display_name":"University of L'Aquila","ror":"https://ror.org/01j9p1r26","country_code":"IT","type":"education","lineage":["https://openalex.org/I26415053"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"FILIPPO MIGNOSI","raw_affiliation_strings":["DISIM, Universit\u00e0 dell'Aquila, L'Aquila, Italy Email:"],"affiliations":[{"raw_affiliation_string":"DISIM, Universit\u00e0 dell'Aquila, L'Aquila, Italy Email:","institution_ids":["https://openalex.org/I26415053"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5081848578"],"corresponding_institution_ids":["https://openalex.org/I183935753","https://openalex.org/I2800365227","https://openalex.org/I4210119896"],"apc_list":null,"apc_paid":null,"fwci":0.4448,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.80231618,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"27","issue":"2","first_page":"277","last_page":"295"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":1.0,"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":1.0,"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/T12029","display_name":"DNA and Biological Computing","score":0.9851999878883362,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"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/T11213","display_name":"Genomic variations and chromosomal abnormalities","score":0.9776999950408936,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/substring","display_name":"Substring","score":0.9573867321014404},{"id":"https://openalex.org/keywords/suffix","display_name":"Suffix","score":0.842485249042511},{"id":"https://openalex.org/keywords/suffix-tree","display_name":"Suffix tree","score":0.8182529211044312},{"id":"https://openalex.org/keywords/generalized-suffix-tree","display_name":"Generalized suffix tree","score":0.7476816177368164},{"id":"https://openalex.org/keywords/compressed-suffix-array","display_name":"Compressed suffix array","score":0.6154388785362244},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6043120622634888},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.602531909942627},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.5189149379730225},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5176949501037598},{"id":"https://openalex.org/keywords/suffix-array","display_name":"Suffix array","score":0.517473042011261},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4807424545288086},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46878206729888916},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40634334087371826},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3613165616989136},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35064566135406494},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34926220774650574},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07968196272850037}],"concepts":[{"id":"https://openalex.org/C182407805","wikidata":"https://www.wikidata.org/wiki/Q2626534","display_name":"Substring","level":3,"score":0.9573867321014404},{"id":"https://openalex.org/C2779804580","wikidata":"https://www.wikidata.org/wiki/Q102047","display_name":"Suffix","level":2,"score":0.842485249042511},{"id":"https://openalex.org/C2781166958","wikidata":"https://www.wikidata.org/wiki/Q1426863","display_name":"Suffix tree","level":3,"score":0.8182529211044312},{"id":"https://openalex.org/C118146561","wikidata":"https://www.wikidata.org/wiki/Q5532514","display_name":"Generalized suffix tree","level":4,"score":0.7476816177368164},{"id":"https://openalex.org/C100903775","wikidata":"https://www.wikidata.org/wiki/Q5157028","display_name":"Compressed suffix array","level":4,"score":0.6154388785362244},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6043120622634888},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.602531909942627},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.5189149379730225},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5176949501037598},{"id":"https://openalex.org/C2779259728","wikidata":"https://www.wikidata.org/wiki/Q281472","display_name":"Suffix array","level":3,"score":0.517473042011261},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4807424545288086},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46878206729888916},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40634334087371826},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3613165616989136},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35064566135406494},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34926220774650574},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07968196272850037},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1017/s0960129515000110","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129515000110","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:kclpure.kcl.ac.uk:publications/9d3e250b-3a0f-45a7-a3c7-c8f2f1520173","is_oa":false,"landing_page_url":"https://kclpure.kcl.ac.uk/portal/en/publications/9d3e250b-3a0f-45a7-a3c7-c8f2f1520173","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Crochemore , M , Iliopoulos , C S , Langiu , A &amp; Mignosi , F 2015 , ' The longest common substring problem ' , MATHEMATICAL STRUCTURES IN COMPUTER SCIENCE , pp. 1-19 . https://doi.org/10.1017/S0960129515000110","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8439077833","display_name":null,"funder_award_id":"EP/J017108/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W14569906","https://openalex.org/W938539187","https://openalex.org/W1504417041","https://openalex.org/W1506856932","https://openalex.org/W1534681609","https://openalex.org/W1556252176","https://openalex.org/W1597723816","https://openalex.org/W1610984152","https://openalex.org/W1859351765","https://openalex.org/W1976682045","https://openalex.org/W1985059829","https://openalex.org/W1990061958","https://openalex.org/W1993817276","https://openalex.org/W2000788935","https://openalex.org/W2004116976","https://openalex.org/W2009802499","https://openalex.org/W2011999472","https://openalex.org/W2024147613","https://openalex.org/W2028503265","https://openalex.org/W2041995828","https://openalex.org/W2044332144","https://openalex.org/W2046946959","https://openalex.org/W2047839530","https://openalex.org/W2049204576","https://openalex.org/W2057945184","https://openalex.org/W2059029449","https://openalex.org/W2059513841","https://openalex.org/W2064184672","https://openalex.org/W2067974452","https://openalex.org/W2068471245","https://openalex.org/W2073921136","https://openalex.org/W2080967843","https://openalex.org/W2088116326","https://openalex.org/W2088386938","https://openalex.org/W2092901467","https://openalex.org/W2101344335","https://openalex.org/W2118703123","https://openalex.org/W2121252285","https://openalex.org/W2130564474","https://openalex.org/W2134283755","https://openalex.org/W2135208303","https://openalex.org/W2149098716","https://openalex.org/W2154803978","https://openalex.org/W2158874082","https://openalex.org/W2162747936","https://openalex.org/W2162945593","https://openalex.org/W2170899819","https://openalex.org/W2407929722","https://openalex.org/W2408221372","https://openalex.org/W2500470525","https://openalex.org/W4254652536"],"related_works":["https://openalex.org/W2405149725","https://openalex.org/W2003608043","https://openalex.org/W2063841356","https://openalex.org/W1593730394","https://openalex.org/W1568850903","https://openalex.org/W75168880","https://openalex.org/W2485439294","https://openalex.org/W4379644220","https://openalex.org/W2736693933","https://openalex.org/W2560606564"],"abstract_inverted_index":{"Given":[0],"a":[1,33,37,71,96],"set":[2],"$\\mathcal{D}$":[3],"of":[4,40,62,88],"q":[5,21],"documents,":[6],"the":[7,23,76,86,101,137,143],"Longest":[8],"Common":[9,78],"Substring":[10],"(LCS)":[11],"problem":[12,35,53,81,103],"asks,":[13],"for":[14,99],"any":[15],"integer":[16],"2":[17],"\u2a7d":[18,20],"k":[19,29],",":[22],"longest":[24],"substring":[25],"that":[26],"appears":[27],"in":[28,42,82,125],"documents.":[30],"LCS":[31,102],"is":[32],"well-studied":[34],"having":[36],"wide":[38],"range":[39],"applications":[41],"Bioinformatics:":[43],"from":[44],"microarrays":[45],"to":[46,75,127],"DNA":[47],"sequences":[48],"alignments":[49],"and":[50,65,109,142],"analysis.":[51],"This":[52],"has":[54],"been":[55],"solved":[56],"by":[57,69,104],"Hui":[58],"(2000":[59],"International":[60],"Journal":[61],"Computer":[63],"Science":[64],"Engineering":[66],"15":[67],"73\u201376)":[68],"using":[70,105],"famous":[72],"constant-time":[73],"solution":[74],"Lowest":[77],"Ancestor":[79],"(LCA)":[80],"trees":[83,107],"coupled":[84],"with":[85,129],"use":[87],"suffix":[89,106,139,145],"trees.":[90],"In":[91,114],"this":[92,119],"article,":[93],"we":[94,116],"present":[95],"simple":[97,120],"method":[98],"solving":[100],"(STs)":[108],"classical":[110],"union-find":[111],"data":[112,133],"structures.":[113],"turn,":[115],"show":[117],"how":[118],"algorithm":[121],"can":[122],"be":[123],"adapted":[124],"order":[126],"work":[128],"other":[130],"space":[131],"efficient":[132],"structures":[134],"such":[135],"as":[136],"enhanced":[138],"arrays":[140],"(ESA)":[141],"compressed":[144],"tree.":[146]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
