{"id":"https://openalex.org/W2009327212","doi":"https://doi.org/10.1007/s00454-014-9616-3","title":"Necessary Conditions for the Generic Global Rigidity of Frameworks on Surfaces","display_name":"Necessary Conditions for the Generic Global Rigidity of Frameworks on Surfaces","publication_year":2014,"publication_date":"2014-08-05","ids":{"openalex":"https://openalex.org/W2009327212","doi":"https://doi.org/10.1007/s00454-014-9616-3","mag":"2009327212"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-014-9616-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-014-9616-3","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs00454-014-9616-3.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007%2Fs00454-014-9616-3.pdf","any_repository_has_fulltext":false},"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":"B. Jackson","raw_affiliation_strings":["School of Mathematical Sciences, Queen Mary University of London, London\u00a0, E1 4NS, UK","School of Mathematical Sciences, Queen Mary University of London, London , UK E1 4NS#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Queen Mary University of London, London\u00a0, E1 4NS, UK","institution_ids":["https://openalex.org/I166337079"]},{"raw_affiliation_string":"School of Mathematical Sciences, Queen Mary University of London, London , UK E1 4NS#TAB#","institution_ids":["https://openalex.org/I166337079"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065865197","display_name":"Thomas A. McCourt","orcid":null},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]},{"id":"https://openalex.org/I4210166532","display_name":"Heilbronn Institute for Mathematical Research","ror":"https://ror.org/05ttdgs63","country_code":"GB","type":"facility","lineage":["https://openalex.org/I4210166532"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"T. A. McCourt","raw_affiliation_strings":["Heilbronn Institute for Mathematical Research, School of Mathematics, University of Bristol, Bristol\u00a0, BS8 1TW, UK","Heilbronn Institute for Mathematical Research, School of Mathematics, University of Bristol, Bristol , UK BS8 1TW#TAB#"],"affiliations":[{"raw_affiliation_string":"Heilbronn Institute for Mathematical Research, School of Mathematics, University of Bristol, Bristol\u00a0, BS8 1TW, UK","institution_ids":["https://openalex.org/I4210166532","https://openalex.org/I36234482"]},{"raw_affiliation_string":"Heilbronn Institute for Mathematical Research, School of Mathematics, University of Bristol, Bristol , UK BS8 1TW#TAB#","institution_ids":["https://openalex.org/I4210166532","https://openalex.org/I36234482"]}]},{"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/I4210166532","display_name":"Heilbronn Institute for Mathematical Research","ror":"https://ror.org/05ttdgs63","country_code":"GB","type":"facility","lineage":["https://openalex.org/I4210166532"]},{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"A. Nixon","raw_affiliation_strings":["Heilbronn Institute for Mathematical Research, School of Mathematics, University of Bristol, Bristol\u00a0, BS8 1TW, UK","Heilbronn Institute for Mathematical Research, School of Mathematics, University of Bristol, Bristol , UK BS8 1TW#TAB#"],"affiliations":[{"raw_affiliation_string":"Heilbronn Institute for Mathematical Research, School of Mathematics, University of Bristol, Bristol\u00a0, BS8 1TW, UK","institution_ids":["https://openalex.org/I4210166532","https://openalex.org/I36234482"]},{"raw_affiliation_string":"Heilbronn Institute for Mathematical Research, School of Mathematics, University of Bristol, Bristol , UK BS8 1TW#TAB#","institution_ids":["https://openalex.org/I4210166532","https://openalex.org/I36234482"]}]}],"institutions":[],"countries_distinct_count":1,"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":null,"fwci":2.9069,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.89669857,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"52","issue":"2","first_page":"344","last_page":"360"},"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":0.9896000027656555,"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/T11383","display_name":"Advanced Antenna and Metasurface Technologies","score":0.9343000054359436,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rigidity","display_name":"Rigidity (electromagnetism)","score":0.8918460607528687},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.7852379679679871},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6699639558792114},{"id":"https://openalex.org/keywords/structural-rigidity","display_name":"Structural rigidity","score":0.5709933042526245},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4795798361301422},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4178895950317383},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07895484566688538},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.06308043003082275},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.05543336272239685}],"concepts":[{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.8918460607528687},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.7852379679679871},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6699639558792114},{"id":"https://openalex.org/C155759531","wikidata":"https://www.wikidata.org/wiki/Q7625050","display_name":"Structural rigidity","level":2,"score":0.5709933042526245},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4795798361301422},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4178895950317383},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07895484566688538},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.06308043003082275},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.05543336272239685},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-014-9616-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-014-9616-3","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs00454-014-9616-3.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00454-014-9616-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-014-9616-3","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs00454-014-9616-3.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17","score":0.4300000071525574}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320360","display_name":"University of Bristol","ror":"https://ror.org/0524sp257"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2009327212.pdf","grobid_xml":"https://content.openalex.org/works/W2009327212.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1494380125","https://openalex.org/W1522692516","https://openalex.org/W1553142094","https://openalex.org/W1588425321","https://openalex.org/W1977438424","https://openalex.org/W2016069320","https://openalex.org/W2016157352","https://openalex.org/W2027524385","https://openalex.org/W2041064634","https://openalex.org/W2045768640","https://openalex.org/W2092946865","https://openalex.org/W2113001921","https://openalex.org/W2118382442","https://openalex.org/W2131484528","https://openalex.org/W2139834426","https://openalex.org/W2148291654","https://openalex.org/W2318268489","https://openalex.org/W2963074634","https://openalex.org/W2963452381","https://openalex.org/W4248269519","https://openalex.org/W4389011534","https://openalex.org/W6738955479"],"related_works":["https://openalex.org/W1501657243","https://openalex.org/W4281491244","https://openalex.org/W2117531509","https://openalex.org/W2376925814","https://openalex.org/W2626846570","https://openalex.org/W2347694834","https://openalex.org/W2381794997","https://openalex.org/W3185639949","https://openalex.org/W3202031437","https://openalex.org/W1976886486"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}