{"id":"https://openalex.org/W1988253812","doi":"https://doi.org/10.1631/jzus.c1200349","title":"Application of formal languages in polynomial transformations of instances between NP-complete problems","display_name":"Application of formal languages in polynomial transformations of instances between NP-complete problems","publication_year":2013,"publication_date":"2013-08-01","ids":{"openalex":"https://openalex.org/W1988253812","doi":"https://doi.org/10.1631/jzus.c1200349","mag":"1988253812"},"language":"en","primary_location":{"id":"doi:10.1631/jzus.c1200349","is_oa":false,"landing_page_url":"https://doi.org/10.1631/jzus.c1200349","pdf_url":null,"source":{"id":"https://openalex.org/S199067057","display_name":"Frontiers of Information Technology & Electronic Engineering","issn_l":"1869-1951","issn":["1869-1951","1869-196X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311937","host_organization_name":"Zhejiang University Press","host_organization_lineage":["https://openalex.org/P4310311937"],"host_organization_lineage_names":["Zhejiang University Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Zhejiang University SCIENCE C","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/A5083787910","display_name":"Jorge A. Ru\u00edz-Vanoye","orcid":"https://orcid.org/0000-0003-4928-5716"},"institutions":[{"id":"https://openalex.org/I3132087064","display_name":"Universidad Aut\u00f3noma del Carmen","ror":"https://ror.org/01npab275","country_code":"MX","type":"education","lineage":["https://openalex.org/I3132087064"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Jorge A. Ruiz-Vanoye","raw_affiliation_strings":["DACI, Universidad Aut\u00f3noma del Carmen, Cd. del Carmen, 24180, Mexico","Universidad Autonoma del Carmen"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DACI, Universidad Aut\u00f3noma del Carmen, Cd. del Carmen, 24180, Mexico","institution_ids":["https://openalex.org/I3132087064"]},{"raw_affiliation_string":"Universidad Autonoma del Carmen","institution_ids":["https://openalex.org/I3132087064"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027279057","display_name":"Joaqu\u00edn P\u00e9rez-Ortega","orcid":"https://orcid.org/0000-0002-5138-7984"},"institutions":[{"id":"https://openalex.org/I4210138655","display_name":"Centro Nacional de Investigaci\u00f3n y Desarrollo Tecnol\u00f3gico","ror":"https://ror.org/0314ecq26","country_code":"MX","type":"facility","lineage":["https://openalex.org/I4210138655"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Joaqu\u00edn P\u00e9rez-Ortega","raw_affiliation_strings":["Computer Science, Centro Nacional de Investigaci\u00f3n y Desarrollo Tecnol\u00f3gico, Cuernavaca, 62490, Mexico","Centro Nacional de Investigaci\u00f3n y Desarrollo Tecnol\u00f3gico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science, Centro Nacional de Investigaci\u00f3n y Desarrollo Tecnol\u00f3gico, Cuernavaca, 62490, Mexico","institution_ids":["https://openalex.org/I4210138655"]},{"raw_affiliation_string":"Centro Nacional de Investigaci\u00f3n y Desarrollo Tecnol\u00f3gico","institution_ids":["https://openalex.org/I4210138655"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071426471","display_name":"Rodolfo A. Pazos Rangel","orcid":null},"institutions":[{"id":"https://openalex.org/I177400693","display_name":"Instituto Tecnol\u00f3gico de Ciudad Madero","ror":"https://ror.org/04cymm537","country_code":"MX","type":"education","lineage":["https://openalex.org/I1302736544","https://openalex.org/I177400693","https://openalex.org/I4210090124","https://openalex.org/I4405258672"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Rodolfo A. Pazos Rangel","raw_affiliation_strings":["Systems and Computer Science, Instituto Tecnol\u00f3gico de Ciudad Madero, Ciudad Madero, 89440, Mexico","Instituto Tecnol\u00f3gico de Ciudad Madero#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Systems and Computer Science, Instituto Tecnol\u00f3gico de Ciudad Madero, Ciudad Madero, 89440, Mexico","institution_ids":["https://openalex.org/I177400693"]},{"raw_affiliation_string":"Instituto Tecnol\u00f3gico de Ciudad Madero#TAB#","institution_ids":["https://openalex.org/I177400693"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043186381","display_name":"Ocotl\u00e1n D\u00edaz-Parra","orcid":"https://orcid.org/0000-0002-8740-3747"},"institutions":[{"id":"https://openalex.org/I3132087064","display_name":"Universidad Aut\u00f3noma del Carmen","ror":"https://ror.org/01npab275","country_code":"MX","type":"education","lineage":["https://openalex.org/I3132087064"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Ocotl\u00e1n D\u00edaz-Parra","raw_affiliation_strings":["DACI, Universidad Aut\u00f3noma del Carmen, Cd. del Carmen, 24180, Mexico","Universidad Autonoma del Carmen"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DACI, Universidad Aut\u00f3noma del Carmen, Cd. del Carmen, 24180, Mexico","institution_ids":["https://openalex.org/I3132087064"]},{"raw_affiliation_string":"Universidad Autonoma del Carmen","institution_ids":["https://openalex.org/I3132087064"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003131464","display_name":"H\u00e9ctor J. Fraire-Huacuja","orcid":"https://orcid.org/0000-0003-3326-8807"},"institutions":[{"id":"https://openalex.org/I177400693","display_name":"Instituto Tecnol\u00f3gico de Ciudad Madero","ror":"https://ror.org/04cymm537","country_code":"MX","type":"education","lineage":["https://openalex.org/I1302736544","https://openalex.org/I177400693","https://openalex.org/I4210090124","https://openalex.org/I4405258672"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"H\u00e9ctor J. Fraire-Huacuja","raw_affiliation_strings":["Systems and Computer Science, Instituto Tecnol\u00f3gico de Ciudad Madero, Ciudad Madero, 89440, Mexico","Instituto Tecnol\u00f3gico de Ciudad Madero#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Systems and Computer Science, Instituto Tecnol\u00f3gico de Ciudad Madero, Ciudad Madero, 89440, Mexico","institution_ids":["https://openalex.org/I177400693"]},{"raw_affiliation_string":"Instituto Tecnol\u00f3gico de Ciudad Madero#TAB#","institution_ids":["https://openalex.org/I177400693"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021222428","display_name":"Juan Frausto\u2013Sol\u00eds","orcid":"https://orcid.org/0000-0001-9307-0734"},"institutions":[{"id":"https://openalex.org/I4210147544","display_name":"Universidad Politecnica del Estado de Morelos","ror":"https://ror.org/04m34bn97","country_code":"MX","type":"education","lineage":["https://openalex.org/I4210147544"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Juan Frausto-Sol\u00eds","raw_affiliation_strings":["Informatics, Universidad Polit\u00e9cnica del Estado de Morelos, Jiutepec, 62560, Mexico","Universidad Politecnica del Estado de Morelos;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Informatics, Universidad Polit\u00e9cnica del Estado de Morelos, Jiutepec, 62560, Mexico","institution_ids":["https://openalex.org/I4210147544"]},{"raw_affiliation_string":"Universidad Politecnica del Estado de Morelos;","institution_ids":["https://openalex.org/I4210147544"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042679498","display_name":"Gerardo Reyes-Salgado","orcid":null},"institutions":[{"id":"https://openalex.org/I4210085960","display_name":"Instituto Tecnol\u00f3gico de Culiac\u00e1n","ror":"https://ror.org/0087m7494","country_code":"MX","type":"education","lineage":["https://openalex.org/I4210085960"]},{"id":"https://openalex.org/I4405258600","display_name":"Instituto Tecnol\u00f3gico de Cuautla","ror":"https://ror.org/00yt2gw85","country_code":"MX","type":"education","lineage":["https://openalex.org/I1302736544","https://openalex.org/I4210090124","https://openalex.org/I4405258600","https://openalex.org/I4405258672"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Gerardo Reyes-Salgado","raw_affiliation_strings":["Computer Science, Instituto Tecnol\u00f3gico de Cuautla, Cuautla, 62745, Mexico","Instituto Tecnol\u00f3gico de Cuautla"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science, Instituto Tecnol\u00f3gico de Cuautla, Cuautla, 62745, Mexico","institution_ids":["https://openalex.org/I4210085960","https://openalex.org/I4405258600"]},{"raw_affiliation_string":"Instituto Tecnol\u00f3gico de Cuautla","institution_ids":["https://openalex.org/I4210085960","https://openalex.org/I4405258600"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075009803","display_name":"Laura Cruz\u2013Reyes","orcid":"https://orcid.org/0000-0002-4541-1642"},"institutions":[{"id":"https://openalex.org/I177400693","display_name":"Instituto Tecnol\u00f3gico de Ciudad Madero","ror":"https://ror.org/04cymm537","country_code":"MX","type":"education","lineage":["https://openalex.org/I1302736544","https://openalex.org/I177400693","https://openalex.org/I4210090124","https://openalex.org/I4405258672"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Laura Cruz-Reyes","raw_affiliation_strings":["Systems and Computer Science, Instituto Tecnol\u00f3gico de Ciudad Madero, Ciudad Madero, 89440, Mexico","Instituto Tecnol\u00f3gico de Ciudad Madero#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Systems and Computer Science, Instituto Tecnol\u00f3gico de Ciudad Madero, Ciudad Madero, 89440, Mexico","institution_ids":["https://openalex.org/I177400693"]},{"raw_affiliation_string":"Instituto Tecnol\u00f3gico de Ciudad Madero#TAB#","institution_ids":["https://openalex.org/I177400693"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5083787910"],"corresponding_institution_ids":["https://openalex.org/I3132087064"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.06805608,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"14","issue":"8","first_page":"623","last_page":"633"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9990000128746033,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9990000128746033,"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/T10142","display_name":"Formal Methods in Verification","score":0.9958000183105469,"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/T11567","display_name":"semigroups and automata theory","score":0.9944999814033508,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6982452869415283},{"id":"https://openalex.org/keywords/p-versus-np-problem","display_name":"P versus NP problem","score":0.5681846141815186},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5504428744316101},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.49627500772476196},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.48664531111717224},{"id":"https://openalex.org/keywords/formal-language","display_name":"Formal language","score":0.48281821608543396},{"id":"https://openalex.org/keywords/np-complete","display_name":"NP-complete","score":0.45834892988204956},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4204411208629608},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4192972779273987},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3483729660511017},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34027063846588135}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6982452869415283},{"id":"https://openalex.org/C186861659","wikidata":"https://www.wikidata.org/wiki/Q746242","display_name":"P versus NP problem","level":3,"score":0.5681846141815186},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5504428744316101},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.49627500772476196},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.48664531111717224},{"id":"https://openalex.org/C146072743","wikidata":"https://www.wikidata.org/wiki/Q192161","display_name":"Formal language","level":2,"score":0.48281821608543396},{"id":"https://openalex.org/C122749075","wikidata":"https://www.wikidata.org/wiki/Q215206","display_name":"NP-complete","level":3,"score":0.45834892988204956},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4204411208629608},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4192972779273987},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3483729660511017},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34027063846588135},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1631/jzus.c1200349","is_oa":false,"landing_page_url":"https://doi.org/10.1631/jzus.c1200349","pdf_url":null,"source":{"id":"https://openalex.org/S199067057","display_name":"Frontiers of Information Technology & Electronic Engineering","issn_l":"1869-1951","issn":["1869-1951","1869-196X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311937","host_organization_name":"Zhejiang University Press","host_organization_lineage":["https://openalex.org/P4310311937"],"host_organization_lineage_names":["Zhejiang University Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Zhejiang University SCIENCE C","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":49,"referenced_works":["https://openalex.org/W254944847","https://openalex.org/W1491178396","https://openalex.org/W1512399864","https://openalex.org/W1517068366","https://openalex.org/W1557371194","https://openalex.org/W1817451992","https://openalex.org/W1974040526","https://openalex.org/W1981324778","https://openalex.org/W1995875735","https://openalex.org/W2005097301","https://openalex.org/W2011039300","https://openalex.org/W2022173437","https://openalex.org/W2036265926","https://openalex.org/W2041404167","https://openalex.org/W2053913299","https://openalex.org/W2059608229","https://openalex.org/W2063513145","https://openalex.org/W2066671865","https://openalex.org/W2098826948","https://openalex.org/W2101017866","https://openalex.org/W2101088258","https://openalex.org/W2125495920","https://openalex.org/W2126160338","https://openalex.org/W2128968786","https://openalex.org/W2131798840","https://openalex.org/W2135625884","https://openalex.org/W2137224975","https://openalex.org/W2160083149","https://openalex.org/W2165432485","https://openalex.org/W2187762213","https://openalex.org/W2401610261","https://openalex.org/W2476096155","https://openalex.org/W2569481888","https://openalex.org/W2592184324","https://openalex.org/W2611888766","https://openalex.org/W3021898623","https://openalex.org/W3149604617","https://openalex.org/W4213009134","https://openalex.org/W4213350211","https://openalex.org/W4233756358","https://openalex.org/W4242933483","https://openalex.org/W6638599355","https://openalex.org/W6659573362","https://openalex.org/W6679636167","https://openalex.org/W6683357420","https://openalex.org/W6737203161","https://openalex.org/W6990023262","https://openalex.org/W7008583937","https://openalex.org/W7048286187"],"related_works":["https://openalex.org/W4312809402","https://openalex.org/W1673188421","https://openalex.org/W3126743327","https://openalex.org/W2161801419","https://openalex.org/W1828234149","https://openalex.org/W2062731608","https://openalex.org/W2606468876","https://openalex.org/W4297670669","https://openalex.org/W1547393828","https://openalex.org/W2495411601"],"abstract_inverted_index":{"We":[0],"propose":[1,54],"the":[2,45,84,89,118],"usage":[3],"of":[4,10,24,47,86,120],"formal":[5,26],"languages":[6],"for":[7,13,29,57,75,94,116,123,131,136],"expressing":[8],"instances":[9,59],"NP-complete":[11,61,81],"problems":[12,43],"their":[14],"application":[15],"in":[16],"polynomial":[17,30,48],"transformations.":[18,49],"The":[19],"proposed":[20,90],"approach,":[21],"which":[22,63,72],"consists":[23],"using":[25],"language":[27],"theory":[28,46],"transformations,":[31],"is":[32,80,92],"more":[33,35],"robust,":[34],"practical,":[36],"and":[37,67,143],"faster":[38],"to":[39,41,106,146],"apply":[40],"real":[42],"than":[44],"In":[50],"this":[51],"paper":[52],"we":[53],"a":[55,78,103],"methodology":[56],"transforming":[58],"between":[60],"problems,":[62],"differs":[64],"from":[65,102],"Garey":[66],"Johnson\u2019s.":[68],"Unlike":[69],"most":[70],"transformations":[71],"are":[73],"used":[74],"proving":[76],"that":[77,140],"problem":[79,104,108,132],"based":[82,126],"on":[83,127],"NP-completeness":[85],"another":[87,107],"problem,":[88],"approach":[91],"intended":[93],"extrapolating":[95],"some":[96],"known":[97,129],"characteristics,":[98],"phenomena,":[99],"or":[100,135],"behaviors":[101],"A":[105,133,142],"B":[109,125,148],".":[110,149],"This":[111],"extrapolation":[112],"could":[113],"be":[114],"useful":[115],"predicting":[117],"performance":[119,130],"an":[121,138],"algorithm":[122,139],"solving":[124],"its":[128],",":[134],"taking":[137],"solves":[141],"adapting":[144],"it":[145],"solve":[147]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}