{"id":"https://openalex.org/W2886292945","doi":"https://doi.org/10.1007/s00373-019-02064-9","title":"On Rigidity of Unit-Bar Frameworks","display_name":"On Rigidity of Unit-Bar Frameworks","publication_year":2019,"publication_date":"2019-07-24","ids":{"openalex":"https://openalex.org/W2886292945","doi":"https://doi.org/10.1007/s00373-019-02064-9","mag":"2886292945"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-019-02064-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-019-02064-9","pdf_url":null,"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":null,"license_id":null,"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":"green","oa_url":"https://arxiv.org/pdf/1808.04005","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020781039","display_name":"J\u00f3zsef Solymosi","orcid":"https://orcid.org/0000-0001-9181-0866"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J\u00f3zsef Solymosi","raw_affiliation_strings":["Department of Mathematics, The University of British Columbia, Vancouver, BC, V6T 1Z2, Canada","Dept. of Mathematics, The University of British Columbia, Vancouver, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of British Columbia, Vancouver, BC, V6T 1Z2, Canada","institution_ids":["https://openalex.org/I141945490"]},{"raw_affiliation_string":"Dept. of Mathematics, The University of British Columbia, Vancouver, Canada","institution_ids":["https://openalex.org/I141945490"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102874087","display_name":"Ethan Patrick White","orcid":"https://orcid.org/0000-0001-5819-0634"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Ethan White","raw_affiliation_strings":["Department of Mathematics, The University of British Columbia, Vancouver, BC, V6T 1Z2, Canada","Dept. of Mathematics, The University of British Columbia, Vancouver, Canada"],"raw_orcid":"https://orcid.org/0000-0001-5819-0634","affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of British Columbia, Vancouver, BC, V6T 1Z2, Canada","institution_ids":["https://openalex.org/I141945490"]},{"raw_affiliation_string":"Dept. of Mathematics, The University of British Columbia, Vancouver, Canada","institution_ids":["https://openalex.org/I141945490"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.3799,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.53118474,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"35","issue":"5","first_page":"1147","last_page":"1152"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9900000095367432,"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"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9900000095367432,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9891999959945679,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12287","display_name":"Fibroblast Growth Factor Research","score":0.9767000079154968,"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/infinitesimal","display_name":"Infinitesimal","score":0.9208492636680603},{"id":"https://openalex.org/keywords/rigidity","display_name":"Rigidity (electromagnetism)","score":0.7764114141464233},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.77120041847229},{"id":"https://openalex.org/keywords/bar","display_name":"Bar (unit)","score":0.744658350944519},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.5824072957038879},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4625045657157898},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4599240720272064},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3871389925479889},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3456628918647766},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3453297019004822},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25796639919281006},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20543783903121948},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.07702898979187012},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06871619820594788}],"concepts":[{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.9208492636680603},{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.7764114141464233},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.77120041847229},{"id":"https://openalex.org/C188721877","wikidata":"https://www.wikidata.org/wiki/Q103510","display_name":"Bar (unit)","level":2,"score":0.744658350944519},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5824072957038879},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4625045657157898},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4599240720272064},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3871389925479889},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3456628918647766},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3453297019004822},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25796639919281006},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20543783903121948},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.07702898979187012},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06871619820594788},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00373-019-02064-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-019-02064-9","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1808.04005","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1808.04005","pdf_url":"https://arxiv.org/pdf/1808.04005","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":"mag:2886292945","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1808.04005","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.1808.04005","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1808.04005","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":"pmh:oai:arXiv.org:1808.04005","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1808.04005","pdf_url":"https://arxiv.org/pdf/1808.04005","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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G354748095","display_name":"Asymptotic invariants of discrete groups, sparse graphs and locally symmetric spaces","funder_award_id":"648017","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"},{"id":"https://openalex.org/G432102873","display_name":null,"funder_award_id":"617747","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"},{"id":"https://openalex.org/G6570994571","display_name":"Growth in Groups and Graph Isomorphism Now","funder_award_id":"741420","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W252850606","https://openalex.org/W1964537835","https://openalex.org/W2137303025","https://openalex.org/W2319149236","https://openalex.org/W2586056894","https://openalex.org/W6811760820"],"related_works":["https://openalex.org/W1985878353","https://openalex.org/W1460978032","https://openalex.org/W2068538246","https://openalex.org/W2046224087","https://openalex.org/W3118940885","https://openalex.org/W2953047142","https://openalex.org/W1741389718","https://openalex.org/W2236354513","https://openalex.org/W2539608704","https://openalex.org/W3080378648","https://openalex.org/W2037767612","https://openalex.org/W2798872368","https://openalex.org/W2069308938","https://openalex.org/W2023311234","https://openalex.org/W2514933739","https://openalex.org/W1973622053","https://openalex.org/W2963642462","https://openalex.org/W2161684664","https://openalex.org/W2805966293","https://openalex.org/W2132487147"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
