{"id":"https://openalex.org/W3206320983","doi":"https://doi.org/10.1137/20m1375498","title":"Sufficient Conditions for 2-Dimensional Global Rigidity","display_name":"Sufficient Conditions for 2-Dimensional Global Rigidity","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3206320983","doi":"https://doi.org/10.1137/20m1375498","mag":"3206320983"},"language":"en","primary_location":{"id":"doi:10.1137/20m1375498","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1375498","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5065142289","display_name":"Xiaofeng Gu","orcid":"https://orcid.org/0000-0003-2725-2411"},"institutions":[{"id":"https://openalex.org/I5950314","display_name":"University of West Georgia","ror":"https://ror.org/01cqxk816","country_code":"US","type":"education","lineage":["https://openalex.org/I5950314"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xiaofeng Gu","raw_affiliation_strings":["Department of Mathematics, University of West Georgia, Carrollton, GA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of West Georgia, Carrollton, GA, USA","institution_ids":["https://openalex.org/I5950314"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103151065","display_name":"Meng Wei","orcid":"https://orcid.org/0000-0003-3068-9585"},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Meng","raw_affiliation_strings":["School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi, China","institution_ids":["https://openalex.org/I181877577"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059350061","display_name":"Martin Rolek","orcid":"https://orcid.org/0000-0003-0418-1710"},"institutions":[{"id":"https://openalex.org/I172980758","display_name":"Kennesaw State University","ror":"https://ror.org/00jeqjx33","country_code":"US","type":"education","lineage":["https://openalex.org/I172980758"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Martin Rolek","raw_affiliation_strings":["Department of Mathematics, Kennesaw State University, Marietta, GA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kennesaw State University, Marietta, GA, USA","institution_ids":["https://openalex.org/I172980758"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100371981","display_name":"Yue Wang","orcid":"https://orcid.org/0000-0001-9882-3926"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yue Wang","raw_affiliation_strings":["School of Mathematics, Shandong University, Jinan, Shandong, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Shandong University, Jinan, Shandong, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077977616","display_name":"Gexin Yu","orcid":"https://orcid.org/0000-0001-5898-7344"},"institutions":[{"id":"https://openalex.org/I267592682","display_name":"Williams (United States)","ror":"https://ror.org/007zhvp17","country_code":"US","type":"company","lineage":["https://openalex.org/I267592682"]},{"id":"https://openalex.org/I16285277","display_name":"William & Mary","ror":"https://ror.org/03hsf0573","country_code":"US","type":"education","lineage":["https://openalex.org/I16285277"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gexin Yu","raw_affiliation_strings":["Department of Mathematics, William & Mary, Williamsburg, VA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, William & Mary, Williamsburg, VA, USA","institution_ids":["https://openalex.org/I16285277","https://openalex.org/I267592682"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5065142289"],"corresponding_institution_ids":["https://openalex.org/I5950314"],"apc_list":null,"apc_paid":null,"fwci":0.1316,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.46003954,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"35","issue":"4","first_page":"2520","last_page":"2534"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11870","display_name":"Structural Analysis and Optimization","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9980000257492065,"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/T11608","display_name":"Dielectric materials and actuators","score":0.9666000008583069,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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":0.8305683732032776},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6171688437461853},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4565006196498871},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.45005181431770325},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37244167923927307},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.35750970244407654},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3548576235771179},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2794705927371979},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11640208959579468},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.07890376448631287}],"concepts":[{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.8305683732032776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6171688437461853},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4565006196498871},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.45005181431770325},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37244167923927307},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.35750970244407654},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3548576235771179},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2794705927371979},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11640208959579468},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.07890376448631287}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/20m1375498","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1375498","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.4300000071525574,"display_name":"Quality Education"}],"awards":[{"id":"https://openalex.org/G5821065049","display_name":null,"funder_award_id":"11701349","funder_id":"https://openalex.org/F4320335581","funder_display_name":"Young Scientists Fund"},{"id":"https://openalex.org/G8390834262","display_name":null,"funder_award_id":"522728","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"}],"funders":[{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320310390","display_name":"College of William and Mary","ror":"https://ror.org/03hsf0573"},{"id":"https://openalex.org/F4320322536","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"},{"id":"https://openalex.org/F4320335581","display_name":"Young Scientists Fund","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1964537835","https://openalex.org/W1977438424","https://openalex.org/W2027524385","https://openalex.org/W2078845719","https://openalex.org/W2087647500","https://openalex.org/W2088062469","https://openalex.org/W2104271060","https://openalex.org/W2139834426","https://openalex.org/W2148291654","https://openalex.org/W4241279272"],"related_works":["https://openalex.org/W2626846570","https://openalex.org/W2068558458","https://openalex.org/W3204534828","https://openalex.org/W1541799442","https://openalex.org/W2369416114","https://openalex.org/W1974121318","https://openalex.org/W2067074449","https://openalex.org/W4297837809","https://openalex.org/W2725884325","https://openalex.org/W2027078051"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9],"an":[10],"active":[11],"subscription":[12],"to":[13],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"23":[17],"October":[18,25],"2020Accepted:":[19],"07":[20],"July":[21],"2021Published":[22],"online:":[23],"19":[24],"2021Keywordsrigid":[26],"graph,":[27],"redundant":[28],"rigidity,":[29,31],"global":[30],"essential":[32],"connectivityAMS":[33],"Subject":[34],"Headings05C40,":[35],"05C75Publication":[36],"DataISSN":[37],"(print):":[38],"0895-4801ISSN":[39],"(online):":[40],"1095-7146Publisher:":[41],"Society":[42],"for":[43],"Industrial":[44],"and":[45],"Applied":[46],"MathematicsCODEN:":[47],"sjdmec":[48]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
