{"id":"https://openalex.org/W2178407333","doi":"https://doi.org/10.1093/bioinformatics/btv669","title":"Uncovering multiloci-ordering by algebraic property of Laplacian matrix and its Fiedler vector","display_name":"Uncovering multiloci-ordering by algebraic property of Laplacian matrix and its Fiedler vector","publication_year":2015,"publication_date":"2015-11-14","ids":{"openalex":"https://openalex.org/W2178407333","doi":"https://doi.org/10.1093/bioinformatics/btv669","mag":"2178407333","pmid":"https://pubmed.ncbi.nlm.nih.gov/26568627"},"language":"en","primary_location":{"id":"doi:10.1093/bioinformatics/btv669","is_oa":false,"landing_page_url":"https://doi.org/10.1093/bioinformatics/btv669","pdf_url":null,"source":{"id":"https://openalex.org/S52395412","display_name":"Bioinformatics","issn_l":"1367-4803","issn":["1367-4803","1367-4811"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bioinformatics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"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/A5045004906","display_name":"Mookyung Cheon","orcid":"https://orcid.org/0000-0001-6777-6725"},"institutions":[{"id":"https://openalex.org/I193352282","display_name":"Daegu Gyeongbuk Institute of Science and Technology","ror":"https://ror.org/03frjya69","country_code":"KR","type":"education","lineage":["https://openalex.org/I193352282"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Mookyung Cheon","raw_affiliation_strings":["1 Creative Research Initiatives Center for Proteome Biophysics, Department of Brain and Cognitive Sciences, Daegu Gyeongbuk Institute of Science and Technology (DGIST), Daegu 711-873, Korea and"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"1 Creative Research Initiatives Center for Proteome Biophysics, Department of Brain and Cognitive Sciences, Daegu Gyeongbuk Institute of Science and Technology (DGIST), Daegu 711-873, Korea and","institution_ids":["https://openalex.org/I193352282"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034939854","display_name":"Choongrak Kim","orcid":"https://orcid.org/0000-0002-3096-7875"},"institutions":[{"id":"https://openalex.org/I4921948","display_name":"Pusan National University","ror":"https://ror.org/01an57a31","country_code":"KR","type":"education","lineage":["https://openalex.org/I4921948"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Choongrak Kim","raw_affiliation_strings":["2 Department of Statistics, Pusan National University, Busan 609-735, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"2 Department of Statistics, Pusan National University, Busan 609-735, Korea","institution_ids":["https://openalex.org/I4921948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062173461","display_name":"Iksoo Chang","orcid":"https://orcid.org/0000-0003-0594-8784"},"institutions":[{"id":"https://openalex.org/I193352282","display_name":"Daegu Gyeongbuk Institute of Science and Technology","ror":"https://ror.org/03frjya69","country_code":"KR","type":"education","lineage":["https://openalex.org/I193352282"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Iksoo Chang","raw_affiliation_strings":["1 Creative Research Initiatives Center for Proteome Biophysics, Department of Brain and Cognitive Sciences, Daegu Gyeongbuk Institute of Science and Technology (DGIST), Daegu 711-873, Korea and"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"1 Creative Research Initiatives Center for Proteome Biophysics, Department of Brain and Cognitive Sciences, Daegu Gyeongbuk Institute of Science and Technology (DGIST), Daegu 711-873, Korea and","institution_ids":["https://openalex.org/I193352282"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034939854","https://openalex.org/A5062173461"],"corresponding_institution_ids":["https://openalex.org/I193352282","https://openalex.org/I4921948"],"apc_list":{"value":3618,"currency":"USD","value_usd":3618},"apc_paid":null,"fwci":0.2251,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.65711801,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"32","issue":"6","first_page":"801","last_page":"807"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11468","display_name":"Genetic Mapping and Diversity in Plants and Animals","score":0.39910000562667847,"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"}},"topics":[{"id":"https://openalex.org/T11468","display_name":"Genetic Mapping and Diversity in Plants and Animals","score":0.39910000562667847,"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/T12946","display_name":"Fractal and DNA sequence analysis","score":0.0689999982714653,"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/T10222","display_name":"Genomics and Chromatin Dynamics","score":0.05790000036358833,"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/property","display_name":"Property (philosophy)","score":0.7027474045753479},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6440458297729492},{"id":"https://openalex.org/keywords/algebraic-connectivity","display_name":"Algebraic connectivity","score":0.565662145614624},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.5571263432502747},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5270773768424988},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5096535682678223},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5017220973968506},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40420863032341003},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.3669319748878479},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35856932401657104},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15482234954833984}],"concepts":[{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.7027474045753479},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6440458297729492},{"id":"https://openalex.org/C7948225","wikidata":"https://www.wikidata.org/wiki/Q4723998","display_name":"Algebraic connectivity","level":4,"score":0.565662145614624},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.5571263432502747},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5270773768424988},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5096535682678223},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5017220973968506},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40420863032341003},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.3669319748878479},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35856932401657104},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15482234954833984},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[{"descriptor_ui":"D012984","descriptor_name":"Software","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D012984","descriptor_name":"Software","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D012984","descriptor_name":"Software","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":3,"locations":[{"id":"doi:10.1093/bioinformatics/btv669","is_oa":false,"landing_page_url":"https://doi.org/10.1093/bioinformatics/btv669","pdf_url":null,"source":{"id":"https://openalex.org/S52395412","display_name":"Bioinformatics","issn_l":"1367-4803","issn":["1367-4803","1367-4811"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bioinformatics","raw_type":"journal-article"},{"id":"pmid:26568627","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/26568627","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bioinformatics (Oxford, England)","raw_type":null},{"id":"pmh:oai:open-archive.highwire.org:bioinfo:32/6/801","is_oa":false,"landing_page_url":"http://bioinformatics.oxfordjournals.org/cgi/content/short/32/6/801","pdf_url":null,"source":{"id":"https://openalex.org/S4406923041","display_name":"HighWire Press Open Archive","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"TEXT"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W998072591","https://openalex.org/W1513088205","https://openalex.org/W1584444527","https://openalex.org/W1587744656","https://openalex.org/W1637563944","https://openalex.org/W1968164782","https://openalex.org/W1974083701","https://openalex.org/W1980615011","https://openalex.org/W1983196284","https://openalex.org/W1994815124","https://openalex.org/W1998158007","https://openalex.org/W2000166645","https://openalex.org/W2004265962","https://openalex.org/W2007613930","https://openalex.org/W2007800374","https://openalex.org/W2012860912","https://openalex.org/W2012975927","https://openalex.org/W2013828904","https://openalex.org/W2026042206","https://openalex.org/W2032415634","https://openalex.org/W2035868960","https://openalex.org/W2036363845","https://openalex.org/W2047507542","https://openalex.org/W2061744749","https://openalex.org/W2074161066","https://openalex.org/W2082812376","https://openalex.org/W2089221493","https://openalex.org/W2099116730","https://openalex.org/W2104085672","https://openalex.org/W2107918121","https://openalex.org/W2107940287","https://openalex.org/W2112238757","https://openalex.org/W2114030927","https://openalex.org/W2115578623","https://openalex.org/W2119896452","https://openalex.org/W2122227763","https://openalex.org/W2122519612","https://openalex.org/W2141218860","https://openalex.org/W2144792853","https://openalex.org/W2153232076","https://openalex.org/W2158940042","https://openalex.org/W2164031281","https://openalex.org/W2211373325","https://openalex.org/W2331432542","https://openalex.org/W2346028484","https://openalex.org/W2415560394","https://openalex.org/W2938182998","https://openalex.org/W3122602071","https://openalex.org/W4306146805","https://openalex.org/W4319590830","https://openalex.org/W6626080420","https://openalex.org/W6634927326","https://openalex.org/W6675166545","https://openalex.org/W6688218795"],"related_works":["https://openalex.org/W4205812024","https://openalex.org/W2597594164","https://openalex.org/W3046200067","https://openalex.org/W80320255","https://openalex.org/W2475700395","https://openalex.org/W3011949883","https://openalex.org/W2157128881","https://openalex.org/W4206635743","https://openalex.org/W2402951419","https://openalex.org/W2051180862"],"abstract_inverted_index":{"MOTIVATION:":[0],"The":[1,48],"loci-ordering,":[2],"based":[3],"on":[4],"two-point":[5],"recombination":[6,62],"fractions":[7],"for":[8,51,67,100],"a":[9,20,37,52,56,120],"pair":[10],"of":[11,45,55,64,70,76,82,123],"loci,":[12],"is":[13,112],"the":[14,28,43,61,65,87,124],"most":[15],"important":[16],"step":[17],"in":[18,119],"constructing":[19],"reliable":[21],"and":[22,79,117],"fine":[23],"genetic":[24],"map.":[25],"RESULTS:":[26],"Using":[27],"concept":[29],"from":[30,60],"complex":[31],"graph":[32],"theory,":[33],"here":[34],"we":[35],"propose":[36],"Laplacian":[38,57],"ordering":[39,101],"approach":[40,99],"which":[41],"uncovers":[42,90],"loci-ordering":[44,66],"multiloci":[46],"simultaneously.":[47],"algebraic":[49],"property":[50],"Fiedler":[53],"vector":[54],"matrix,":[58],"constructed":[59],"fraction":[63],"26":[68],"loci":[69,75,81],"barley":[71],"chromosome":[72],"IV,":[73],"846":[74],"Arabidopsis":[77],"thaliana":[78],"1903":[80],"Malus":[83],"domestica,":[84],"together":[85],"with":[86,109],"variable":[88],"threshold":[89],"their":[91],"loci-orders.":[92],"It":[93],"offers":[94],"an":[95],"alternative":[96],"yet":[97],"robust":[98],"multiloci.":[102],"AVAILABILITY":[103],"AND":[104],"IMPLEMENTATION:":[105],"Source":[106],"code":[107],"program":[108],"data":[110,116,134],"set":[111],"available":[113,136],"as":[114],"supplementary":[115],"also":[118],"software":[121],"category":[122],"website":[125],"(http://biophysics.dgist.ac.kr)":[126],"CONTACT:":[127],"crkim@pusan.ac.kr":[128],"or":[129],"iksoochang@dgist.ac.kr":[130],"SUPPLEMENTARY":[131],"INFORMATION:":[132],"Supplementary":[133],"are":[135],"at":[137],"Bioinformatics":[138],"online.":[139]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-30T17:31:21.811387","created_date":"2025-10-10T00:00:00"}