{"id":"https://openalex.org/W2085103591","doi":"https://doi.org/10.1145/321541.321545","title":"A Cycle Generation Algorithm for Finite Undirected Linear Graphs","display_name":"A Cycle Generation Algorithm for Finite Undirected Linear Graphs","publication_year":1969,"publication_date":"1969-10-01","ids":{"openalex":"https://openalex.org/W2085103591","doi":"https://doi.org/10.1145/321541.321545","mag":"2085103591"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1145/321541.321545","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/321541.321545","source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/321541.321545","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082076371","display_name":"Norman E. Gibbs","orcid":null},"institutions":[{"id":"https://openalex.org/I16285277","display_name":"William & Mary","ror":"https://ror.org/03hsf0573","country_code":"US","type":"funder","lineage":["https://openalex.org/I16285277"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Norman E. Gibbs","raw_affiliation_strings":["Computer Science Center, College of William and Mary, Williamsburg, Va. and Purdue University, Department of Computer Science, West Lafayette, Indiana#TAB#"],"affiliations":[{"raw_affiliation_string":"Computer Science Center, College of William and Mary, Williamsburg, Va. and Purdue University, Department of Computer Science, West Lafayette, Indiana#TAB#","institution_ids":["https://openalex.org/I16285277"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5082076371"],"corresponding_institution_ids":["https://openalex.org/I16285277"],"apc_list":null,"apc_paid":null,"fwci":1.426,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":51,"citation_normalized_percentile":{"value":0.945041,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"16","issue":"4","first_page":"564","last_page":"568"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9938,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9938,"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/T12029","display_name":"DNA and Biological Computing","score":0.9804,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9674,"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/basis","display_name":"Basis (linear algebra)","score":0.7255423},{"id":"https://openalex.org/keywords/cycle-basis","display_name":"Cycle basis","score":0.62534314},{"id":"https://openalex.org/keywords/undirected-graph","display_name":"Undirected graph","score":0.6227175}],"concepts":[{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.7255423},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.70854235},{"id":"https://openalex.org/C26752605","wikidata":"https://www.wikidata.org/wiki/Q16766188","display_name":"Cycle basis","level":5,"score":0.62534314},{"id":"https://openalex.org/C3018234147","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Undirected graph","level":3,"score":0.6227175},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.56930554},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3288817},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32386672},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.24581996},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1145/321541.321545","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/321541.321545","source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1145/321541.321545","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/321541.321545","source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":7,"referenced_works":["https://openalex.org/W1603128821","https://openalex.org/W1999667176","https://openalex.org/W2058958770","https://openalex.org/W2062771600","https://openalex.org/W2069151075","https://openalex.org/W2100658172","https://openalex.org/W4255288880"],"related_works":["https://openalex.org/W91800244","https://openalex.org/W3124866060","https://openalex.org/W2963816213","https://openalex.org/W2337246144","https://openalex.org/W2162839197","https://openalex.org/W2131676402","https://openalex.org/W2074467278","https://openalex.org/W2002038988","https://openalex.org/W168853239","https://openalex.org/W1507614398"],"abstract_inverted_index":{"When":[0],"the":[1,33],"algorithms":[2,52],"of":[3,22,32,41],"J.":[4],"T.":[5],"Welch,":[6],"Jr.":[7],"were":[8],"implemented":[9],"it":[10],"was":[11],"discovered":[12],"that":[13],"they":[14],"did":[15],"not":[16],"perform":[17],"as":[18],"described.":[19],"The":[20,30,47],"generation":[21,31],"all":[23],"cycles":[24],"from":[25],"a":[26],"basis":[27,34],"is":[28,35,45],"faulty.":[29],"apparently":[36],"correct.":[37],"A":[38],"modified":[39],"version":[40],"Welch's":[42,51],"Algorithm":[43],"3":[44],"presented.":[46],"reasons":[48],"for":[49],"modifying":[50],"are":[53],"presented":[54],"with":[55],"examples.":[56]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2085103591","counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-03-18T02:28:58.949475","created_date":"2016-06-24"}