{"id":"https://openalex.org/W2054898096","doi":"https://doi.org/10.1137/s0097539791195543","title":"Tight Bounds on the Complexity of the Boyer\u2013Moore String Matching Algorithm","display_name":"Tight Bounds on the Complexity of the Boyer\u2013Moore String Matching Algorithm","publication_year":1994,"publication_date":"1994-10-01","ids":{"openalex":"https://openalex.org/W2054898096","doi":"https://doi.org/10.1137/s0097539791195543","mag":"2054898096"},"language":"en","primary_location":{"id":"doi:10.1137/s0097539791195543","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539791195543","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/A5042866153","display_name":"Richard Cole","orcid":"https://orcid.org/0000-0002-5885-0222"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Richard Cole","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5042866153"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.1708,"has_fulltext":false,"cited_by_count":75,"citation_normalized_percentile":{"value":0.96321787,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"23","issue":"5","first_page":"1075","last_page":"1091"},"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":0.9991999864578247,"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":0.9943000078201294,"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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.8028926849365234},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7860698699951172},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.6182417273521423},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5799043774604797},{"id":"https://openalex.org/keywords/string-searching-algorithm","display_name":"String searching algorithm","score":0.5067358613014221},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.4972286522388458},{"id":"https://openalex.org/keywords/pattern-matching","display_name":"Pattern matching","score":0.43127164244651794},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.42689990997314453},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40408024191856384},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3829262852668762},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1740378737449646},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06384220719337463}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.8028926849365234},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7860698699951172},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.6182417273521423},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5799043774604797},{"id":"https://openalex.org/C7757238","wikidata":"https://www.wikidata.org/wiki/Q374040","display_name":"String searching algorithm","level":3,"score":0.5067358613014221},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.4972286522388458},{"id":"https://openalex.org/C68859911","wikidata":"https://www.wikidata.org/wiki/Q1503724","display_name":"Pattern matching","level":2,"score":0.43127164244651794},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.42689990997314453},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40408024191856384},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3829262852668762},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1740378737449646},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06384220719337463},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0097539791195543","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539791195543","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1967384930","https://openalex.org/W1972418517","https://openalex.org/W1973272384","https://openalex.org/W1983243118","https://openalex.org/W1984074972","https://openalex.org/W1985108724","https://openalex.org/W2006435065","https://openalex.org/W2016219933","https://openalex.org/W2052899946","https://openalex.org/W2054762052","https://openalex.org/W2099964107","https://openalex.org/W2134826720","https://openalex.org/W2147575368","https://openalex.org/W2752885492","https://openalex.org/W4212840250","https://openalex.org/W4239658213","https://openalex.org/W4252460087"],"related_works":["https://openalex.org/W3145288231","https://openalex.org/W2371263218","https://openalex.org/W1488969083","https://openalex.org/W2949391255","https://openalex.org/W2092552144","https://openalex.org/W2943461603","https://openalex.org/W2354196777","https://openalex.org/W2965473297","https://openalex.org/W2108265183","https://openalex.org/W2257399947"],"abstract_inverted_index":{"The":[0],"problem":[1],"of":[2,6,9,15,49,69,98],"finding":[3],"all":[4],"occurrences":[5],"a":[7,13,66,95,99],"pattern":[8],"length":[10,16],"m":[11,54],"in":[12],"text":[14],"n":[17],"is":[18,21,37,62,65,88],"considered.":[19],"It":[20],"shown":[22],"that":[23,34],"the":[24,85,104],"Boyer\u2013Moore":[25],"string":[26],"matching":[27],"algorithm":[28],"performs":[29],"roughly":[30],"$3n$":[31],"comparisons":[32,61],"and":[33,79],"this":[35],"bound":[36,48,68,87,102],"tight":[38],"up":[39],"to":[40],"$O({n":[41],"/":[42,57],"m})$;":[43],"more":[44],"precisely,":[45],"an":[46],"upper":[47,86,101],"${{3n":[50],"-":[51,53,71],"3(n":[52],"+":[55,59],"1)}":[56],"{(m":[58],"2)}}$":[60],"shown,":[63],"as":[64,74],"lower":[67],"$3n(1":[70],"o(1))$":[72],"comparisons,":[73],"$\\frac{n}{m}":[75],"\\to":[76,81],"\\infty":[77,82],"$":[78],"$m":[80],"$.":[83],"While":[84],"somewhat":[89],"involved,":[90],"its":[91],"main":[92],"elements":[93],"provide":[94],"simple":[96],"proof":[97],"$4n$":[100],"for":[103],"same":[105],"algorithm.":[106]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
