{"id":"https://openalex.org/W2065714474","doi":"https://doi.org/10.1017/s096012951000023x","title":"A practical parameterised algorithm for the individual haplotyping problem MLF","display_name":"A practical parameterised algorithm for the individual haplotyping problem MLF","publication_year":2010,"publication_date":"2010-10-01","ids":{"openalex":"https://openalex.org/W2065714474","doi":"https://doi.org/10.1017/s096012951000023x","mag":"2065714474"},"language":"en","primary_location":{"id":"doi:10.1017/s096012951000023x","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s096012951000023x","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/A5101644878","display_name":"Minzhu Xie","orcid":"https://orcid.org/0000-0002-8962-093X"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]},{"id":"https://openalex.org/I3130607311","display_name":"Changsha Normal University","ror":"https://ror.org/02sqk3z62","country_code":"CN","type":"education","lineage":["https://openalex.org/I3130607311"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"MINZHU XIE","raw_affiliation_strings":["School of Information Science and Engineering, Central South University, Changsha 410083, P.R.China and College of Physics and Information Science, Hunan Normal University, Changsha 410081, P.R.China Email:","School of information science and engineering, central south university, changsha 410083, p.r.china and college of physics and information science, hunan normal university, changsha 410081, p.r.ch "],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Central South University, Changsha 410083, P.R.China and College of Physics and Information Science, Hunan Normal University, Changsha 410081, P.R.China Email:","institution_ids":["https://openalex.org/I139660479","https://openalex.org/I3130607311"]},{"raw_affiliation_string":"School of information science and engineering, central south university, changsha 410083, p.r.china and college of physics and information science, hunan normal university, changsha 410081, p.r.ch ","institution_ids":["https://openalex.org/I3130607311"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100438360","display_name":"Jianxin Wang","orcid":"https://orcid.org/0000-0003-1516-0480"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"JIANXIN WANG","raw_affiliation_strings":["School of Information Science and Engineering, Central South University, Changsha 410083, P.R.China Email:","School of information science and engineering, central south university, changsha 410083, p.r.china email: jxwang@mail.csu.edu.cn"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Central South University, Changsha 410083, P.R.China Email:","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"School of information science and engineering, central south university, changsha 410083, p.r.china email: jxwang@mail.csu.edu.cn","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023394727","display_name":"Jianer Chen","orcid":"https://orcid.org/0000-0003-0898-1643"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]},{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"JIANER CHEN","raw_affiliation_strings":["School of Information Science and Engineering, Central South University, Changsha 410083, P.R.China and Department of Computer Science, Texas A&M University, College Station, TX 77843, U.S.A. Email:","School of information science and engineering, central south university, changsha 410083, p.r.china and department of computer science, texas a&m university, college station, tx 77843, u.s.a. ...#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Central South University, Changsha 410083, P.R.China and Department of Computer Science, Texas A&M University, College Station, TX 77843, U.S.A. Email:","institution_ids":["https://openalex.org/I139660479","https://openalex.org/I91045830"]},{"raw_affiliation_string":"School of information science and engineering, central south university, changsha 410083, p.r.china and department of computer science, texas a&m university, college station, tx 77843, u.s.a. ...#TAB#","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1245,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.50886577,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"20","issue":"5","first_page":"851","last_page":"863"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10885","display_name":"Gene expression and cancer classification","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10885","display_name":"Gene expression and cancer classification","score":0.9990000128746033,"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/T10261","display_name":"Genetic Associations and Epidemiology","score":0.9983000159263611,"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/T11213","display_name":"Genomic variations and chromosomal abnormalities","score":0.9980000257492065,"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/haplotype","display_name":"Haplotype","score":0.7873588800430298},{"id":"https://openalex.org/keywords/fragment","display_name":"Fragment (logic)","score":0.669281005859375},{"id":"https://openalex.org/keywords/snp","display_name":"SNP","score":0.6366183161735535},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5763415098190308},{"id":"https://openalex.org/keywords/single-nucleotide-polymorphism","display_name":"Single-nucleotide polymorphism","score":0.5548278093338013},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.540642499923706},{"id":"https://openalex.org/keywords/dna-sequencing","display_name":"DNA sequencing","score":0.47098657488822937},{"id":"https://openalex.org/keywords/computational-problem","display_name":"Computational problem","score":0.46705830097198486},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46327826380729675},{"id":"https://openalex.org/keywords/human-genome","display_name":"Human genome","score":0.4364057779312134},{"id":"https://openalex.org/keywords/computational-biology","display_name":"Computational biology","score":0.4181719720363617},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4103664755821228},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.40560370683670044},{"id":"https://openalex.org/keywords/genome","display_name":"Genome","score":0.36209776997566223},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35756710171699524},{"id":"https://openalex.org/keywords/dna","display_name":"DNA","score":0.32130712270736694},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.318209707736969},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31562885642051697},{"id":"https://openalex.org/keywords/gene","display_name":"Gene","score":0.2534372806549072},{"id":"https://openalex.org/keywords/genotype","display_name":"Genotype","score":0.10015666484832764}],"concepts":[{"id":"https://openalex.org/C197754878","wikidata":"https://www.wikidata.org/wiki/Q80711","display_name":"Haplotype","level":4,"score":0.7873588800430298},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.669281005859375},{"id":"https://openalex.org/C139275648","wikidata":"https://www.wikidata.org/wiki/Q17134011","display_name":"SNP","level":5,"score":0.6366183161735535},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5763415098190308},{"id":"https://openalex.org/C153209595","wikidata":"https://www.wikidata.org/wiki/Q501128","display_name":"Single-nucleotide polymorphism","level":4,"score":0.5548278093338013},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.540642499923706},{"id":"https://openalex.org/C51679486","wikidata":"https://www.wikidata.org/wiki/Q380546","display_name":"DNA sequencing","level":3,"score":0.47098657488822937},{"id":"https://openalex.org/C19754495","wikidata":"https://www.wikidata.org/wiki/Q3435924","display_name":"Computational problem","level":2,"score":0.46705830097198486},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46327826380729675},{"id":"https://openalex.org/C197077220","wikidata":"https://www.wikidata.org/wiki/Q720988","display_name":"Human genome","level":4,"score":0.4364057779312134},{"id":"https://openalex.org/C70721500","wikidata":"https://www.wikidata.org/wiki/Q177005","display_name":"Computational biology","level":1,"score":0.4181719720363617},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4103664755821228},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.40560370683670044},{"id":"https://openalex.org/C141231307","wikidata":"https://www.wikidata.org/wiki/Q7020","display_name":"Genome","level":3,"score":0.36209776997566223},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35756710171699524},{"id":"https://openalex.org/C552990157","wikidata":"https://www.wikidata.org/wiki/Q7430","display_name":"DNA","level":2,"score":0.32130712270736694},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.318209707736969},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31562885642051697},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.2534372806549072},{"id":"https://openalex.org/C135763542","wikidata":"https://www.wikidata.org/wiki/Q106016","display_name":"Genotype","level":3,"score":0.10015666484832764},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s096012951000023x","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s096012951000023x","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1489714036","https://openalex.org/W1504581534","https://openalex.org/W1506202754","https://openalex.org/W1559484989","https://openalex.org/W1866835760","https://openalex.org/W1965464420","https://openalex.org/W1987299572","https://openalex.org/W1990461755","https://openalex.org/W1990533032","https://openalex.org/W2001570677","https://openalex.org/W2033837064","https://openalex.org/W2043685803","https://openalex.org/W2057114447","https://openalex.org/W2058401000","https://openalex.org/W2081163014","https://openalex.org/W2089070048","https://openalex.org/W2122004833","https://openalex.org/W2124734937","https://openalex.org/W2127230663","https://openalex.org/W2129326667","https://openalex.org/W2138270253","https://openalex.org/W2142642738","https://openalex.org/W2145371252","https://openalex.org/W2152664025","https://openalex.org/W2161381121","https://openalex.org/W2168909179","https://openalex.org/W2217809488","https://openalex.org/W4290750029"],"related_works":["https://openalex.org/W1973480752","https://openalex.org/W2805502594","https://openalex.org/W4253208712","https://openalex.org/W31439402","https://openalex.org/W3146762847","https://openalex.org/W3132641048","https://openalex.org/W2217679042","https://openalex.org/W1603677234","https://openalex.org/W2525971763","https://openalex.org/W2984753899"],"abstract_inverted_index":{"Haplotypes":[0],"are":[1,15,216],"more":[2,152],"useful":[3],"in":[4,83,130],"complex":[5],"disease":[6],"gene":[7],"mapping":[8],"than":[9,153],"single-nucleotide":[10],"polymorphisms":[11],"(SNPs).":[12],"However,":[13],"haplotypes":[14,63],"difficult":[16],"to":[17,80,132],"obtain":[18],"directly":[19,94],"using":[20],"biological":[21,202],"experiments,":[22,86],"which":[23],"has":[24,69],"prompted":[25],"research":[26],"into":[27],"efficient":[28],"computational":[29,45],"methods":[30],"for":[31,75],"determining":[32],"haplotypes.":[33],"The":[34],"individual":[35],"haplotyping":[36],"problem":[37,46,209],"called":[38],"Minimum":[39],"Letter":[40],"Flip":[41],"(MLF)":[42],"is":[43,95,126,149,187,194],"a":[44,49,91,101,123,165],"that,":[47],"given":[48],"set":[50],"of":[51,57,90,105,111,119,142,190,197],"aligned":[52],"DNA":[53,84,112],"sequence":[54],"fragment":[55,92,124,158],"data":[56,159],"an":[58,146],"individual,":[59],"induces":[60],"the":[61,77,87,114,137,161,188,195,204,207],"corresponding":[62],"by":[64],"flipping":[65],"minimum":[66],"SNPs.":[67],"There":[68],"been":[70],"no":[71,151],"practical":[72,201],"exact":[73],"algorithm":[74,168,205],"solving":[76],"problem.":[78],"Due":[79],"technical":[81],"limits":[82],"sequencing":[85],"maximum":[88,115,138],"length":[89],"sequenced":[93],"about":[96],"1kb.":[97],"In":[98,200],"consequence,":[99],"with":[100,169],"genome-average":[102],"SNP":[103,120,147,198],"density":[104],"1.84":[106],"SNPs":[107],"per":[108],"1":[109,118,183],"kb":[110],"sequence,":[113],"number":[116,139,189,196],"k":[117,140,177],"sites":[121],"that":[122,144],"covers":[125],"usually":[127,150],"small.":[128],"Moreover,":[129],"order":[131],"save":[133],"time":[134,171],"and":[135,192,214],"money,":[136],"2":[141,175,176,178],"fragments":[143,191],"cover":[145],"site":[148],"19.":[154],"Building":[155],"on":[156],"these":[157],"properties,":[160],"current":[162],"paper":[163],"introduces":[164],"new":[166],"parameterised":[167],"running":[170],"O":[172],"(":[173],"nk":[174],"+":[179,181],"mlogm":[180],"mk":[182],"),":[184],"where":[185],"m":[186,213],"n":[193,215],"sites.":[199],"applications,":[203],"solves":[206],"MLF":[208],"efficiently":[210],"even":[211],"if":[212],"large.":[217]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}