{"id":"https://openalex.org/W2043782124","doi":"https://doi.org/10.1137/110830605","title":"Locating Regions in a Sequence under Density Constraints","display_name":"Locating Regions in a Sequence under Density Constraints","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2043782124","doi":"https://doi.org/10.1137/110830605","mag":"2043782124"},"language":"en","primary_location":{"id":"doi:10.1137/110830605","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110830605","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1104.0919","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079605697","display_name":"Benjamin A. Burton","orcid":"https://orcid.org/0000-0002-3478-3301"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Benjamin A. Burton","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5045840939","display_name":"Mathias Hiron","orcid":"https://orcid.org/0009-0002-4656-7056"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mathias Hiron","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079605697"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9926,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.88560167,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"42","issue":"3","first_page":"1201","last_page":"1215"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9993000030517578,"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":0.9993000030517578,"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/T10015","display_name":"Genomics and Phylogenetic Studies","score":0.9933000206947327,"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/T10521","display_name":"RNA and protein synthesis mechanisms","score":0.9922000169754028,"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/substring","display_name":"Substring","score":0.9811196327209473},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7414760589599609},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.6813790202140808},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6543782949447632},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5865237712860107},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.5554924607276917},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5132231712341309},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.501610517501831},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.4965870976448059},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4821988642215729},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3597227931022644},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35539510846138},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26563578844070435},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07381293177604675}],"concepts":[{"id":"https://openalex.org/C182407805","wikidata":"https://www.wikidata.org/wiki/Q2626534","display_name":"Substring","level":3,"score":0.9811196327209473},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7414760589599609},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.6813790202140808},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6543782949447632},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5865237712860107},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.5554924607276917},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5132231712341309},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.501610517501831},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.4965870976448059},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4821988642215729},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3597227931022644},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35539510846138},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26563578844070435},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07381293177604675},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/110830605","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110830605","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:arXiv.org:1104.0919","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1104.0919","pdf_url":"https://arxiv.org/pdf/1104.0919","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1104.0919","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1104.0919","pdf_url":"https://arxiv.org/pdf/1104.0919","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":[{"score":0.4699999988079071,"id":"https://metadata.un.org/sdg/14","display_name":"Life below water"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1494238107","https://openalex.org/W1531710418","https://openalex.org/W1721636290","https://openalex.org/W1967116716","https://openalex.org/W1984680322","https://openalex.org/W1993863888","https://openalex.org/W2029484950","https://openalex.org/W2038359695","https://openalex.org/W2048631281","https://openalex.org/W2086065942","https://openalex.org/W2088065018","https://openalex.org/W2090747326","https://openalex.org/W2094051433","https://openalex.org/W2114510609","https://openalex.org/W2114709104","https://openalex.org/W2125962775","https://openalex.org/W2130060042","https://openalex.org/W2135884205","https://openalex.org/W2137505881","https://openalex.org/W2138790911","https://openalex.org/W2160791843","https://openalex.org/W2612812586","https://openalex.org/W3145128584","https://openalex.org/W4240231372","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2051304374","https://openalex.org/W3043769852","https://openalex.org/W4286787697","https://openalex.org/W1505605100","https://openalex.org/W4291327800","https://openalex.org/W4308670360","https://openalex.org/W2950721324","https://openalex.org/W4200187525","https://openalex.org/W4230921427","https://openalex.org/W1970688438"],"abstract_inverted_index":{"Several":[0],"biological":[1],"problems":[2,76,117],"require":[3],"the":[4,22,62,67,80,92,107,115,128],"identification":[5,27],"of":[6,24,28,41,51,65,87,155],"regions":[7],"in":[8,102],"a":[9,16,39,46,84,159],"sequence":[10,32],"where":[11],"some":[12],"feature":[13],"occurs":[14],"within":[15],"target":[17],"density":[18],"range:":[19],"examples":[20],"including":[21],"location":[23],"GC-rich":[25],"regions,":[26],"CpG":[29],"islands,":[30],"and":[31,43,57,145,148],"matching.":[33],"Mathematically,":[34],"this":[35],"corresponds":[36],"to":[37],"searching":[38],"string":[40],"0's":[42],"1's":[44,52],"for":[45],"substring":[47,82],"whose":[48],"relative":[49],"proportion":[50],"lies":[53],"between":[54],"given":[55],"lower":[56],"upper":[58],"bounds.":[59],"We":[60],"consider":[61],"algorithmic":[63],"problem":[64],"locating":[66,91],"longest":[68,93],"such":[69,94],"substring,":[70,95],"as":[71,73,78,158],"well":[72],"other":[74],"related":[75,116],"(such":[77],"finding":[79],"shortest":[81],"or":[83],"maximal":[85],"set":[86],"disjoint":[88],"substrings).":[89],"For":[90,114],"we":[96,118],"develop":[97,119],"an":[98],"algorithm":[99],"that":[100,137,152],"runs":[101],"$\\mathcal{O}(n)$":[103],"time,":[104],"improving":[105,126],"upon":[106,127],"previous":[108],"best-known":[109,129],"$\\mathcal{O}(n":[110,120,130],"\\log":[111,121,122,131],"n)$":[112,123,132],"result.":[113,160],"algorithms,":[124],"again":[125],"results.":[133],"Practical":[134],"testing":[135],"verifies":[136],"our":[138],"new":[139],"algorithms":[140],"enjoy":[141],"significantly":[142],"smaller":[143],"time":[144],"memory":[146],"footprints,":[147],"can":[149],"process":[150],"sequences":[151],"are":[153],"orders":[154],"magnitude":[156],"longer":[157]},"counts_by_year":[{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
