{"id":"https://openalex.org/W1975173901","doi":"https://doi.org/10.1142/s1793830913500304","title":"MINING POSETS FROM LINEAR ORDERS","display_name":"MINING POSETS FROM LINEAR ORDERS","publication_year":2013,"publication_date":"2013-09-03","ids":{"openalex":"https://openalex.org/W1975173901","doi":"https://doi.org/10.1142/s1793830913500304","mag":"1975173901"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830913500304","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830913500304","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5022724859","display_name":"Proceso L. Fernandez","orcid":"https://orcid.org/0000-0001-5370-4544"},"institutions":[{"id":"https://openalex.org/I19722","display_name":"Ateneo de Manila University","ror":"https://ror.org/053kevk63","country_code":"PH","type":"education","lineage":["https://openalex.org/I19722"]}],"countries":["PH"],"is_corresponding":true,"raw_author_name":"PROCESO L. FERNANDEZ","raw_affiliation_strings":["Department of Information Systems and Computer Science, Ateneo de Manila University, Quezon City 1108, Philippines"],"affiliations":[{"raw_affiliation_string":"Department of Information Systems and Computer Science, Ateneo de Manila University, Quezon City 1108, Philippines","institution_ids":["https://openalex.org/I19722"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057291575","display_name":"Lenwood S. Heath","orcid":"https://orcid.org/0000-0003-1608-431X"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"LENWOOD S. HEATH","raw_affiliation_strings":["Department of Computer Science, Virginia Tech, Blacksburg VA 24061, USA","Department of Computer Science, Virginia Tech, Blacksburg, VA 24061, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Virginia Tech, Blacksburg VA 24061, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Department of Computer Science, Virginia Tech, Blacksburg, VA 24061, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035052603","display_name":"Naren Ramakrishnan","orcid":"https://orcid.org/0000-0002-1821-9743"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"NAREN RAMAKRISHNAN","raw_affiliation_strings":["Department of Computer Science, Virginia Tech, Blacksburg VA 24061, USA","Department of Computer Science, Virginia Tech, Blacksburg, VA 24061, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Virginia Tech, Blacksburg VA 24061, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Department of Computer Science, Virginia Tech, Blacksburg, VA 24061, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054310243","display_name":"Michael Tan","orcid":"https://orcid.org/0000-0002-2449-563X"},"institutions":[{"id":"https://openalex.org/I19722","display_name":"Ateneo de Manila University","ror":"https://ror.org/053kevk63","country_code":"PH","type":"education","lineage":["https://openalex.org/I19722"]}],"countries":["PH"],"is_corresponding":false,"raw_author_name":"MICHAEL TAN","raw_affiliation_strings":["Department of Information Systems and Computer Science, Ateneo de Manila University, Quezon City 1108, Philippines"],"affiliations":[{"raw_affiliation_string":"Department of Information Systems and Computer Science, Ateneo de Manila University, Quezon City 1108, Philippines","institution_ids":["https://openalex.org/I19722"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003478603","display_name":"John Paul C. Vergara","orcid":"https://orcid.org/0000-0003-0041-4847"},"institutions":[{"id":"https://openalex.org/I19722","display_name":"Ateneo de Manila University","ror":"https://ror.org/053kevk63","country_code":"PH","type":"education","lineage":["https://openalex.org/I19722"]}],"countries":["PH"],"is_corresponding":false,"raw_author_name":"JOHN PAUL C. VERGARA","raw_affiliation_strings":["Department of Information Systems and Computer Science, Ateneo de Manila University, Quezon City 1108, Philippines"],"affiliations":[{"raw_affiliation_string":"Department of Information Systems and Computer Science, Ateneo de Manila University, Quezon City 1108, Philippines","institution_ids":["https://openalex.org/I19722"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5022724859"],"corresponding_institution_ids":["https://openalex.org/I19722"],"apc_list":null,"apc_paid":null,"fwci":0.7249,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.72742773,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"05","issue":"04","first_page":"1350030","last_page":"1350030"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9782000184059143,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9782000184059143,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T13664","display_name":"Genome Rearrangement Algorithms","score":0.972100019454956,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9484999775886536,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.9606327414512634},{"id":"https://openalex.org/keywords/star-product","display_name":"Star product","score":0.8373781442642212},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6471704244613647},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6209774017333984},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.6200034618377686},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5896404385566711},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5850772857666016},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5400238037109375},{"id":"https://openalex.org/keywords/variation","display_name":"Variation (astronomy)","score":0.42789506912231445},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4208766520023346},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2636732757091522},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09327739477157593},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.059783756732940674}],"concepts":[{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.9606327414512634},{"id":"https://openalex.org/C195800304","wikidata":"https://www.wikidata.org/wiki/Q7601281","display_name":"Star product","level":2,"score":0.8373781442642212},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6471704244613647},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6209774017333984},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.6200034618377686},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5896404385566711},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5850772857666016},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5400238037109375},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.42789506912231445},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4208766520023346},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2636732757091522},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09327739477157593},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.059783756732940674},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830913500304","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830913500304","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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":39,"referenced_works":["https://openalex.org/W71669036","https://openalex.org/W212007004","https://openalex.org/W1506285740","https://openalex.org/W1974745849","https://openalex.org/W1985733916","https://openalex.org/W2003182080","https://openalex.org/W2012449655","https://openalex.org/W2013288868","https://openalex.org/W2030087828","https://openalex.org/W2043732992","https://openalex.org/W2047899424","https://openalex.org/W2050228009","https://openalex.org/W2052085947","https://openalex.org/W2056239531","https://openalex.org/W2065963598","https://openalex.org/W2066511816","https://openalex.org/W2068987343","https://openalex.org/W2078049262","https://openalex.org/W2081399997","https://openalex.org/W2083146005","https://openalex.org/W2083691092","https://openalex.org/W2093397547","https://openalex.org/W2107017460","https://openalex.org/W2111629426","https://openalex.org/W2115920155","https://openalex.org/W2133378824","https://openalex.org/W2136593687","https://openalex.org/W2138480899","https://openalex.org/W2142103633","https://openalex.org/W2150735632","https://openalex.org/W2155778398","https://openalex.org/W2158454296","https://openalex.org/W2159924615","https://openalex.org/W2166559705","https://openalex.org/W2166563663","https://openalex.org/W3004540582","https://openalex.org/W3111526966","https://openalex.org/W3145128584","https://openalex.org/W4213328692"],"related_works":["https://openalex.org/W3000109343","https://openalex.org/W3213974985","https://openalex.org/W2981084557","https://openalex.org/W4298354580","https://openalex.org/W3159352419","https://openalex.org/W2952022865","https://openalex.org/W1992011145","https://openalex.org/W1990044474","https://openalex.org/W2951897752","https://openalex.org/W2078050303"],"abstract_inverted_index":{"There":[0],"has":[1],"been":[2],"much":[3],"research":[4],"on":[5,21],"the":[6,11,22,28,37,50,90,93,102,112],"combinatorial":[7],"problem":[8,54,103],"of":[9,14,24,33,46,96,101,108,128],"generating":[10],"linear":[12,34,86,97],"extensions":[13,87],"a":[15,31,42,53,77,82,105,136],"given":[16],"poset.":[17],"This":[18,117],"paper":[19],"focuses":[20],"reverse":[23],"that":[25,48,110],"problem,":[26],"where":[27,104],"input":[29,94,113],"is":[30,39,114,119],"set":[32,45,95,107],"orders,":[35],"and":[36,63],"goal":[38],"to":[40,121],"construct":[41],"poset":[43,83],"or":[44],"posets":[47,109,130],"generates":[49],"input.":[51],"Such":[52],"finds":[55],"applications":[56],"in":[57],"computational":[58],"neuroscience,":[59],"systems":[60],"biology,":[61],"paleontology,":[62],"physical":[64],"plant":[65],"engineering.":[66],"In":[67],"this":[68],"paper,":[69],"two":[70],"algorithms":[71],"are":[72,88],"presented":[73],"for":[74,125,135],"efficiently":[75],"finding":[76],"single":[78],"poset,":[79],"if,":[80],"such":[81],"exists":[84],"whose":[85],"exactly":[89],"same":[91],"as":[92],"orders.":[98],"The":[99],"variation":[100,118],"minimum":[106],"cover":[111],"also":[115],"explored.":[116],"shown":[120],"be":[122],"polynomially":[123],"solvable":[124],"one":[126],"class":[127,138],"simple":[129],"(kite(2)":[131],"posets)":[132],"but":[133],"NP-complete":[134],"related":[137],"(hammock(2,2,2)":[139],"posets).":[140]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}