{"id":"https://openalex.org/W1985344161","doi":"https://doi.org/10.1142/s0129065704001942","title":"ON THE LIMIT CYCLE STRUCTURE OF THRESHOLD BOOLEAN NETWORKS OVER COMPLETE GRAPHS","display_name":"ON THE LIMIT CYCLE STRUCTURE OF THRESHOLD BOOLEAN NETWORKS OVER COMPLETE GRAPHS","publication_year":2004,"publication_date":"2004-06-01","ids":{"openalex":"https://openalex.org/W1985344161","doi":"https://doi.org/10.1142/s0129065704001942","mag":"1985344161","pmid":"https://pubmed.ncbi.nlm.nih.gov/15243953"},"language":"en","primary_location":{"id":"doi:10.1142/s0129065704001942","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129065704001942","pdf_url":null,"source":{"id":"https://openalex.org/S197665576","display_name":"International Journal of Neural Systems","issn_l":"0129-0657","issn":["0129-0657","1793-6462"],"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":"International Journal of Neural Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","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/A5078947872","display_name":"George Voutsadakis","orcid":"https://orcid.org/0000-0002-6854-6232"},"institutions":[{"id":"https://openalex.org/I147276918","display_name":"Lake Superior State University","ror":"https://ror.org/00yeysh84","country_code":"US","type":"education","lineage":["https://openalex.org/I147276918"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"GEORGE VOUTSADAKIS","raw_affiliation_strings":["School of Mathematics and Computer Science, Lake Superior State University, 650 W. Easterday Avenue, Sault Sainte Marie, MI 49783, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Lake Superior State University, 650 W. Easterday Avenue, Sault Sainte Marie, MI 49783, USA","institution_ids":["https://openalex.org/I147276918"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5078947872"],"corresponding_institution_ids":["https://openalex.org/I147276918"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.14381264,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"14","issue":"03","first_page":"209","last_page":"215"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9988999962806702,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9988999962806702,"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/T11476","display_name":"Graph theory and applications","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9926999807357788,"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/limit","display_name":"Limit (mathematics)","score":0.7444459199905396},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.7390955686569214},{"id":"https://openalex.org/keywords/digraph","display_name":"Digraph","score":0.6919923424720764},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5884866118431091},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5847536325454712},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.583712100982666},{"id":"https://openalex.org/keywords/boolean-network","display_name":"Boolean network","score":0.5737189650535583},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.539908230304718},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5377829670906067},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5073761343955994},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.4432680904865265},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.4308246970176697}],"concepts":[{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.7444459199905396},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.7390955686569214},{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.6919923424720764},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5884866118431091},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5847536325454712},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.583712100982666},{"id":"https://openalex.org/C134444547","wikidata":"https://www.wikidata.org/wiki/Q585230","display_name":"Boolean network","level":3,"score":0.5737189650535583},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.539908230304718},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5377829670906067},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5073761343955994},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.4432680904865265},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.4308246970176697},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":2,"locations":[{"id":"doi:10.1142/s0129065704001942","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129065704001942","pdf_url":null,"source":{"id":"https://openalex.org/S197665576","display_name":"International Journal of Neural Systems","issn_l":"0129-0657","issn":["0129-0657","1793-6462"],"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":"International Journal of Neural Systems","raw_type":"journal-article"},{"id":"pmid:15243953","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/15243953","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":"International journal of neural systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W14067180","https://openalex.org/W224963486","https://openalex.org/W1532890570","https://openalex.org/W1971224531","https://openalex.org/W1981097681","https://openalex.org/W1986397639","https://openalex.org/W1993991827","https://openalex.org/W1995489344","https://openalex.org/W2011563257","https://openalex.org/W2025387030","https://openalex.org/W2044873481","https://openalex.org/W2057245117","https://openalex.org/W2065178468","https://openalex.org/W2076404951","https://openalex.org/W2101337027","https://openalex.org/W2105291362","https://openalex.org/W2127392156","https://openalex.org/W2153697543","https://openalex.org/W2181291494","https://openalex.org/W2483473095","https://openalex.org/W2952899188","https://openalex.org/W4388252848"],"related_works":["https://openalex.org/W2075126249","https://openalex.org/W2105128170","https://openalex.org/W2918709778","https://openalex.org/W1991822629","https://openalex.org/W3141532631","https://openalex.org/W1975961967","https://openalex.org/W1979056074","https://openalex.org/W52722086","https://openalex.org/W2558644562","https://openalex.org/W2061512596"],"abstract_inverted_index":{"In":[0],"previous":[1],"work,":[2],"the":[3,18,45,53,89,95],"limit":[4,54],"structure":[5,32,55],"of":[6,47,66,73,97],"positive":[7],"and":[8,24,64],"negative":[9],"finite":[10,99],"threshold":[11],"boolean":[12,100],"networks":[13,101],"without":[14],"inputs":[15],"(TBNs)":[16],"over":[17,50,102],"complete":[19],"digraph":[20],"K(n)":[21],"was":[22,27],"analyzed":[23],"an":[25],"algorithm":[26,78,90],"presented":[28],"for":[29,82],"computing":[30],"this":[31,41],"in":[33,40,85],"polynomial":[34,86],"time.":[35,87],"Those":[36],"results":[37],"are":[38],"generalized":[39,92],"paper":[42],"to":[43,93],"cover":[44,94],"case":[46,96],"arbitrary":[48,74],"TBNs":[49],"K(n).":[51,103],"Although":[52],"is":[56,79,91],"now":[57],"more":[58],"complicated,":[59],"containing,":[60],"not":[61],"only":[62],"fixed-points":[63],"cycles":[65,72],"length":[67],"2,":[68],"but":[69],"possibly":[70],"also":[71],"length,":[75],"a":[76],"simple":[77],"still":[80],"available":[81],"its":[83],"determination":[84],"Finally,":[88],"symmetric":[98]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
