{"id":"https://openalex.org/W2509231837","doi":"https://doi.org/10.1007/s00373-018-1983-8","title":"Rigid Cylindrical Frameworks with Two Coincident Points","display_name":"Rigid Cylindrical Frameworks with Two Coincident Points","publication_year":2018,"publication_date":"2018-11-30","ids":{"openalex":"https://openalex.org/W2509231837","doi":"https://doi.org/10.1007/s00373-018-1983-8","mag":"2509231837"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-018-1983-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00373-018-1983-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00373-018-1983-8.pdf","source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00373-018-1983-8.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059315194","display_name":"Bill Jackson","orcid":"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":true,"raw_author_name":"Bill Jackson","raw_affiliation_strings":["School of Mathematical Sciences, Queen Mary University of London, London, E1 4NS, UK","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, E1 4NS, UK","institution_ids":["https://openalex.org/I166337079"]},{"raw_affiliation_string":"School of Mathematical Sciences Queen Mary, University of London London UK","institution_ids":["https://openalex.org/I166337079"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079363669","display_name":"Vikt\u00f3ria E. Kaszanitzky","orcid":null},"institutions":[{"id":"https://openalex.org/I29770179","display_name":"Budapest University of Technology and Economics","ror":"https://ror.org/02w42ss30","country_code":"HU","type":"education","lineage":["https://openalex.org/I29770179"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Vikt\u00f3ria E. Kaszanitzky","raw_affiliation_strings":["Department of Computer Science and Information Theory, Budapest University of Technology and Economics, Magyar tud\u00f3sok k\u00f6r\u00fatja 2, Budapest, 1117, Hungary","Department of Computer Science and Information Theory, Budapest University of Technology and Economics, Budapest, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Information Theory, Budapest University of Technology and Economics, Magyar tud\u00f3sok k\u00f6r\u00fatja 2, Budapest, 1117, Hungary","institution_ids":["https://openalex.org/I29770179"]},{"raw_affiliation_string":"Department of Computer Science and Information Theory, Budapest University of Technology and Economics, Budapest, Hungary","institution_ids":["https://openalex.org/I29770179"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020218262","display_name":"Anthony Nixon","orcid":"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":false,"raw_author_name":"Anthony Nixon","raw_affiliation_strings":["Department of Mathematics and Statistics, Lancaster University, Lancaster, LA1 4YF, UK","Department of Mathematics and Statistics; Lancaster University; Lancaster; UK"],"raw_orcid":"https://orcid.org/0000-0003-0639-1295","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Lancaster University, Lancaster, LA1 4YF, UK","institution_ids":["https://openalex.org/I67415387"]},{"raw_affiliation_string":"Department of Mathematics and Statistics; Lancaster University; Lancaster; UK","institution_ids":["https://openalex.org/I67415387"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5059315194"],"corresponding_institution_ids":["https://openalex.org/I166337079"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.2313,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54976351,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"35","issue":"1","first_page":"141","last_page":"168"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11870","display_name":"Structural Analysis and Optimization","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11870","display_name":"Structural Analysis and Optimization","score":1.0,"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/T11737","display_name":"Advanced Materials and Mechanics","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T10379","display_name":"Cellular Mechanics and Interactions","score":0.973800003528595,"subfield":{"id":"https://openalex.org/subfields/1307","display_name":"Cell 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/infinitesimal","display_name":"Infinitesimal","score":0.9181351661682129},{"id":"https://openalex.org/keywords/rigidity","display_name":"Rigidity (electromagnetism)","score":0.675476610660553},{"id":"https://openalex.org/keywords/concentric","display_name":"Concentric","score":0.6335329413414001},{"id":"https://openalex.org/keywords/realisation","display_name":"Realisation","score":0.6188963055610657},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5989627242088318},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5280340909957886},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5271862745285034},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.521335244178772},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.45798978209495544},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4322602152824402},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3296346664428711},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.321849524974823},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3007979393005371},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2887868881225586},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.27315065264701843},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.15925073623657227},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07488524913787842},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05430406332015991}],"concepts":[{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.9181351661682129},{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.675476610660553},{"id":"https://openalex.org/C90296322","wikidata":"https://www.wikidata.org/wiki/Q619776","display_name":"Concentric","level":2,"score":0.6335329413414001},{"id":"https://openalex.org/C2779462738","wikidata":"https://www.wikidata.org/wiki/Q17146409","display_name":"Realisation","level":2,"score":0.6188963055610657},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5989627242088318},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5280340909957886},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5271862745285034},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.521335244178772},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45798978209495544},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4322602152824402},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3296346664428711},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.321849524974823},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3007979393005371},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2887868881225586},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.27315065264701843},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.15925073623657227},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07488524913787842},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05430406332015991},{"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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00373-018-1983-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00373-018-1983-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00373-018-1983-8.pdf","source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1607.02039","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1607.02039","pdf_url":"https://arxiv.org/pdf/1607.02039","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:eprints.lancs.ac.uk:129000","is_oa":true,"landing_page_url":null,"pdf_url":"https://eprints.lancs.ac.uk/id/eprint/129000/1/JKNccG_Crev.pdf","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,"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":"PeerReviewed"},{"id":"mag:2509231837","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1607.02039.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1607.02039","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1607.02039","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s00373-018-1983-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00373-018-1983-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00373-018-1983-8.pdf","source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G1395697946","display_name":null,"funder_award_id":"EP/M013642/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3711806682","display_name":null,"funder_award_id":"K124171","funder_id":"https://openalex.org/F4320321994","funder_display_name":"Hungarian Scientific Research Fund"},{"id":"https://openalex.org/G5103422168","display_name":"Combinatorial rigidity, symmetric geometric constraint systems, and applications","funder_award_id":"EP/M013642/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5572547405","display_name":null,"funder_award_id":"FK128673","funder_id":"https://openalex.org/F4320321994","funder_display_name":"Hungarian Scientific Research Fund"},{"id":"https://openalex.org/G6063911051","display_name":null,"funder_award_id":"K109240","funder_id":"https://openalex.org/F4320321994","funder_display_name":"Hungarian Scientific Research Fund"}],"funders":[{"id":"https://openalex.org/F4320321994","display_name":"Hungarian Scientific Research Fund","ror":"https://ror.org/00v349e63"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2509231837.pdf","grobid_xml":"https://content.openalex.org/works/W2509231837.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1588425321","https://openalex.org/W1626064980","https://openalex.org/W1978402801","https://openalex.org/W2009327212","https://openalex.org/W2016069320","https://openalex.org/W2016157352","https://openalex.org/W2027166776","https://openalex.org/W2045768640","https://openalex.org/W2113001921","https://openalex.org/W2139834426","https://openalex.org/W2963074634","https://openalex.org/W4251519580","https://openalex.org/W6600619113"],"related_works":["https://openalex.org/W2954842807","https://openalex.org/W2951894214","https://openalex.org/W2794609406","https://openalex.org/W3113473128","https://openalex.org/W3101235087","https://openalex.org/W3199816871","https://openalex.org/W1964858253","https://openalex.org/W2070613680","https://openalex.org/W2143189783","https://openalex.org/W1604628950","https://openalex.org/W35783899","https://openalex.org/W2039165761","https://openalex.org/W2055132393","https://openalex.org/W167708101","https://openalex.org/W1533086541","https://openalex.org/W1481396947","https://openalex.org/W2903688894","https://openalex.org/W2884956546","https://openalex.org/W1773851459","https://openalex.org/W3100600453"],"abstract_inverted_index":{"We":[0,24],"develop":[1],"a":[2,14],"rigidity":[3,38],"theory":[4],"for":[5],"graphs":[6],"whose":[7],"vertices":[8,21,60],"are":[9,22],"constrained":[10],"to":[11,28],"lie":[12],"on":[13,42],"cylinder":[15],"and":[16],"in":[17],"which":[18],"two":[19],"given":[20],"coincident.":[23],"apply":[25],"our":[26],"result":[27],"show":[29],"that":[30,51],"the":[31,36,43,48,52,55,58],"vertex":[32],"splitting":[33],"operation":[34],"preserves":[35,61],"global":[37],"of":[39,54],"generic":[40,62],"frameworks":[41],"cylinder,":[44],"whenever":[45],"it":[46],"satisfies":[47],"necessary":[49],"condition":[50],"deletion":[53],"edge":[56],"joining":[57],"split":[59],"rigidity.":[63]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}