{"id":"https://openalex.org/W4200224967","doi":"https://doi.org/10.1002/jgt.22780","title":"Corrigendum to : Flexible circuits in the d-dimensional rigidity matroid (Journal of Graph Theory, (2022), 100, 2, (315-330), 10.1002/jgt.22780)","display_name":"Corrigendum to : Flexible circuits in the d-dimensional rigidity matroid (Journal of Graph Theory, (2022), 100, 2, (315-330), 10.1002/jgt.22780)","publication_year":2023,"publication_date":"2023-06-30","ids":{"openalex":"https://openalex.org/W4200224967","doi":"https://doi.org/10.1002/jgt.22780"},"language":"en","primary_location":{"id":"pmh:oai:eprints.lancs.ac.uk:183211","doi":"https://doi.org/10.1002/jgt.22780","is_oa":false,"landing_page_url":"https://eprints.lancs.ac.uk/id/eprint/183211/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401916","display_name":"Lancaster EPrints (Lancaster University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67415387","host_organization_name":"Lancaster University","host_organization_lineage":["https://openalex.org/I67415387"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},"volume":null,"type":"erratum","is_traditional":true,"indexed_in":[],"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/A5038715886","display_name":"Georg Grasegger","orcid":"https://orcid.org/0000-0001-7421-8115","observed_orcids":["https://orcid.org/0000-0001-7421-8115"]},"institutions":[{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"government","lineage":["https://openalex.org/I138211613"]},{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Grasegger, Georg","raw_affiliation_strings":["Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Linz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Linz, Austria","institution_ids":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022509666","display_name":"Hakan Guler","orcid":"https://orcid.org/0000-0003-3300-860X","observed_orcids":["https://orcid.org/0000-0003-3300-860X"]},"institutions":[{"id":"https://openalex.org/I98905743","display_name":"Kastamonu University","ror":"https://ror.org/015scty35","country_code":"TR","type":"education","lineage":["https://openalex.org/I98905743"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Guler, Hakan","raw_affiliation_strings":["Department of Mathematics, Faculty of Arts & Sciences Kastamonu University Kastamonu Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Arts & Sciences Kastamonu University Kastamonu Turkey","institution_ids":["https://openalex.org/I98905743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059315194","display_name":"Bill Jackson","orcid":"https://orcid.org/0000-0002-1381-8675","observed_orcids":["https://orcid.org/0000-0002-1381-8675"]},"institutions":[{"id":"https://openalex.org/I166337079","display_name":"Queen Mary University of London","ror":"https://ror.org/026zzn846","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I166337079"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jackson, Bill","raw_affiliation_strings":["School of Mathematical Sciences, Queen Mary University of London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Queen Mary University of London, London, UK","institution_ids":["https://openalex.org/I166337079"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020218262","display_name":"Anthony Nixon","orcid":"https://orcid.org/0000-0003-0639-1295","observed_orcids":["https://orcid.org/0000-0003-0639-1295"]},"institutions":[{"id":"https://openalex.org/I67415387","display_name":"Lancaster University","ror":"https://ror.org/04f2nsd36","country_code":"GB","type":"education","lineage":["https://openalex.org/I67415387"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Nixon, Anthony","raw_affiliation_strings":["Department of Mathematics and Statistics, Lancaster University, Lancaster, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Lancaster University, Lancaster, UK","institution_ids":["https://openalex.org/I67415387"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5020218262"],"corresponding_institution_ids":["https://openalex.org/I67415387"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.5098000168800354,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.5098000168800354,"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/T11870","display_name":"Structural Analysis and Optimization","score":0.1462000012397766,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.1031000018119812,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/flexible-circuits","display_name":"flexible circuits","score":0.6600000262260437},{"id":"https://openalex.org/keywords/bar-and-joint-frameworks","display_name":"bar-joint frameworks","score":0.8970000147819519},{"id":"https://openalex.org/keywords/generic-rigidity","display_name":"generic rigidity","score":0.7519999742507935},{"id":"https://openalex.org/keywords/rank-function","display_name":"rank function","score":0.8339999914169312},{"id":"https://openalex.org/keywords/combinatorial-rigidity","display_name":"combinatorial rigidity","score":0.6669999957084656}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.9717487096786499},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7933083772659302},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7466937303543091},{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.7124248743057251},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.5578038692474365},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5253507494926453},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.43619441986083984},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39221566915512085},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34821557998657227},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:eprints.lancs.ac.uk:183211","doi":"https://doi.org/10.1002/jgt.22780","is_oa":false,"landing_page_url":"https://eprints.lancs.ac.uk/id/eprint/183211/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401916","display_name":"Lancaster EPrints (Lancaster University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67415387","host_organization_name":"Lancaster University","host_organization_lineage":["https://openalex.org/I67415387"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W251156324","https://openalex.org/W1528267390","https://openalex.org/W1964537835","https://openalex.org/W1982700170","https://openalex.org/W2013407568","https://openalex.org/W2050728700","https://openalex.org/W2088062469","https://openalex.org/W2126314964","https://openalex.org/W2139834426","https://openalex.org/W2588851554","https://openalex.org/W2592434936","https://openalex.org/W3140503065","https://openalex.org/W3161521274","https://openalex.org/W3197253740","https://openalex.org/W4250817735","https://openalex.org/W4251345737","https://openalex.org/W4251519580"],"related_works":["https://openalex.org/W3011983935","https://openalex.org/W3203993991","https://openalex.org/W2990204024","https://openalex.org/W4414458040","https://openalex.org/W2891372656","https://openalex.org/W2885017432","https://openalex.org/W2079335274","https://openalex.org/W2126314964","https://openalex.org/W2027166776","https://openalex.org/W7161691999"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"bar\u2010joint":[2],"framework":[3],"in":[4,49,75,79,101,127],"is":[5,23,27,39,87,103,112],"rigid":[6,78],"if":[7],"the":[8,15,34,42,45,50,60,83,96,124],"only":[9,32],"edge\u2010length":[10],"preserving":[11],"continuous":[12],"motions":[13],"of":[14,20,44,48,59,63,86,98,119],"vertices":[16],"arise":[17],"from":[18],"isometries":[19],".":[21,55,81],"It":[22],"known":[24,67],"that,":[25],"when":[26,68,80,93],"generic,":[28],"its":[29],"rigidity":[30,53],"depends":[31],"on":[33],"underlying":[35],"graph":[36],",":[37,69,94],"and":[38,70,95],"determined":[40],"by":[41,122],"rank":[43,61,84],"edge":[46],"set":[47],"generic":[51],"\u2010dimensional":[52],"matroid":[54,65],"Complete":[56],"combinatorial":[57],"descriptions":[58],"function":[62,85],"this":[64,110],"are":[66,76],"imply":[71],"that":[72],"all":[73],"circuits":[74,100,121,126],"generically":[77],"Determining":[82],"a":[88,104,117],"long":[89],"standing":[90],"open":[91],"problem":[92,111],"existence":[97],"nonrigid":[99,120,125],"for":[102],"major":[105],"contributing":[106],"factor":[107],"to":[108],"why":[109],"so":[113],"difficult.":[114],"We":[115],"begin":[116],"study":[118],"characterising":[123],"which":[128],"have":[129],"at":[130],"most":[131],"vertices.":[132]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2021-12-31T00:00:00"}
