{"id":"https://openalex.org/W2024557852","doi":"https://doi.org/10.1137/s0097539792226321","title":"An Alphabet Independent Approach to Two-Dimensional Pattern Matching","display_name":"An Alphabet Independent Approach to Two-Dimensional Pattern Matching","publication_year":1994,"publication_date":"1994-04-01","ids":{"openalex":"https://openalex.org/W2024557852","doi":"https://doi.org/10.1137/s0097539792226321","mag":"2024557852"},"language":"en","primary_location":{"id":"doi:10.1137/s0097539792226321","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539792226321","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","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/A5048790288","display_name":"Amihood Amir","orcid":"https://orcid.org/0000-0002-3939-337X"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Amihood Amir","raw_affiliation_strings":["[Georgia Institute of Technology.]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[Georgia Institute of Technology.]","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065328235","display_name":"Gary Benson","orcid":"https://orcid.org/0000-0003-2374-5462"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gary Benson","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5087023890","display_name":"Mart\u0131\u0301n Farach-Colton","orcid":"https://orcid.org/0000-0003-3616-7788"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Martin Farach","raw_affiliation_strings":["[Georgia Institute of Technology.]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[Georgia Institute of Technology.]","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.0957,"has_fulltext":false,"cited_by_count":79,"citation_normalized_percentile":{"value":0.97384244,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"23","issue":"2","first_page":"313","last_page":"323"},"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/T11567","display_name":"semigroups and automata theory","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.9976000189781189,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6005780100822449},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5810256600379944},{"id":"https://openalex.org/keywords/string-searching-algorithm","display_name":"String searching algorithm","score":0.5753778219223022},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5700836181640625},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5589339137077332},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.5031148791313171},{"id":"https://openalex.org/keywords/preprocessor","display_name":"Preprocessor","score":0.49738338589668274},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49583467841148376},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48975038528442383},{"id":"https://openalex.org/keywords/pattern-matching","display_name":"Pattern matching","score":0.46202215552330017},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.4586067795753479},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.42126116156578064},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3299485445022583},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25098752975463867},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08883947134017944},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0825032889842987}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6005780100822449},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5810256600379944},{"id":"https://openalex.org/C7757238","wikidata":"https://www.wikidata.org/wiki/Q374040","display_name":"String searching algorithm","level":3,"score":0.5753778219223022},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5700836181640625},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5589339137077332},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.5031148791313171},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.49738338589668274},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49583467841148376},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48975038528442383},{"id":"https://openalex.org/C68859911","wikidata":"https://www.wikidata.org/wiki/Q1503724","display_name":"Pattern matching","level":2,"score":0.46202215552330017},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.4586067795753479},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.42126116156578064},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3299485445022583},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25098752975463867},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08883947134017944},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0825032889842987},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0097539792226321","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539792226321","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.52.4147","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.52.4147","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://athos.rutgers.edu/pub/farach/2dAlphaInd.ps.Z","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.6200000047683716,"display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1515216880","https://openalex.org/W1591568585","https://openalex.org/W1622620102","https://openalex.org/W1972418517","https://openalex.org/W1973456884","https://openalex.org/W1983243118","https://openalex.org/W1984398316","https://openalex.org/W1984548556","https://openalex.org/W1985108724","https://openalex.org/W1989520229","https://openalex.org/W1991454799","https://openalex.org/W2011999472","https://openalex.org/W2065698628","https://openalex.org/W2099964107","https://openalex.org/W2111297109","https://openalex.org/W2121252285","https://openalex.org/W2134826720"],"related_works":["https://openalex.org/W2277058918","https://openalex.org/W2076967798","https://openalex.org/W32826119","https://openalex.org/W1823427324","https://openalex.org/W2168334921","https://openalex.org/W1993281991","https://openalex.org/W2748369577","https://openalex.org/W1978432631","https://openalex.org/W2105491669","https://openalex.org/W1969173824"],"abstract_inverted_index":{"There":[0],"are":[1,10],"many":[2],"solutions":[3],"to":[4],"the":[5,14,23,45,79,83,116,124,130,134,149,154],"string":[6],"matching":[7,52,71,108],"problem":[8],"that":[9,90],"strictly":[11],"linear":[12],"in":[13,92],"input":[15],"size":[16],"and":[17,38,146],"independent":[18],"of":[19,25,40,44,57],"alphabet":[20,80,145,151],"size.":[21,81],"Furthermore,":[22,115],"model":[24,132],"computation":[26],"for":[27,50,69,106],"these":[28],"algorithms":[29,49,68],"is":[30],"very":[31],"weak:":[32],"they":[33],"allow":[34],"only":[35],"simple":[36],"arithmetic":[37],"comparisons":[39],"equality":[41],"between":[42],"characters":[43],"input.":[46],"In":[47,82],"contrast,":[48],"two-dimensional":[51,70,107],"have":[53,72],"needed":[54],"stronger":[55],"models":[56],"computation,":[58],"most":[59],"notably":[60],"assuming":[61],"a":[62,75],"totally":[63],"ordered":[64,144],"alphabet.":[65],"The":[66,101,139],"fastest":[67],"therefore":[73],"had":[74],"logarithmic":[76],"dependence":[77],"on":[78,129],"worst":[84],"case,":[85],"this":[86],"gives":[87],"an":[88,104,110,143],"algorithm":[89,105],"runs":[91,128,147],"$O(n^2":[93,111],"\\log":[94,98],"m)$":[95,99],"with":[96,109,148],"$O(m^2":[97],"preprocessing.":[100],"authors":[102],"show":[103],")$":[112],"text-scanning":[113],"phase.":[114],"text":[117],"scan":[118],"requires":[119,142],"no":[120],"special":[121],"assumptions":[122],"about":[123],"alphabet,":[125],"i.e.,":[126],"it":[127],"same":[131,150],"as":[133,153],"standard":[135],"linear-time":[136],"string-matching":[137],"algorithm.":[138],"pattern":[140],"preprocessing":[141],"dependency":[152],"previously":[155],"known":[156],"algorithms.":[157]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
