{"id":"https://openalex.org/W2068538246","doi":"https://doi.org/10.1137/110860872","title":"Geometric Sensitivity of Rigid Graphs","display_name":"Geometric Sensitivity of Rigid Graphs","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2068538246","doi":"https://doi.org/10.1137/110860872","mag":"2068538246"},"language":"en","primary_location":{"id":"doi:10.1137/110860872","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110860872","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/A5113487275","display_name":"Tibor Jord\u00e1n","orcid":"https://orcid.org/0000-0003-3662-5558"},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Tibor Jord\u00e1n","raw_affiliation_strings":["E\u00f6tv\u00f6s L\u00f3r\u00e1nd Tudom\u00e1nyegyetem"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"E\u00f6tv\u00f6s L\u00f3r\u00e1nd Tudom\u00e1nyegyetem","institution_ids":["https://openalex.org/I106118109"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053966502","display_name":"G. Domokos","orcid":"https://orcid.org/0000-0002-8676-6829"},"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":"G\u00e1bor Domokos","raw_affiliation_strings":["Budapest Univ. of Technology & Economics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Budapest Univ. of Technology & Economics","institution_ids":["https://openalex.org/I29770179"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039862764","display_name":"K T\u00f3th","orcid":"https://orcid.org/0000-0002-7939-5492"},"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":"Krisztina T\u00f3th","raw_affiliation_strings":["Budapest Univ. of Technology & Economics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Budapest Univ. of Technology & Economics","institution_ids":["https://openalex.org/I29770179"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.1653,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.90858587,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"27","issue":"4","first_page":"1710","last_page":"1726"},"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":0.9969000220298767,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9718999862670898,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/infinitesimal","display_name":"Infinitesimal","score":0.7741618156433105},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6221058368682861},{"id":"https://openalex.org/keywords/bar","display_name":"Bar (unit)","score":0.6092533469200134},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5984004139900208},{"id":"https://openalex.org/keywords/joint","display_name":"Joint (building)","score":0.545606791973114},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5402663946151733},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5191994905471802},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3554859757423401},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2659175395965576},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.17779985070228577},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1609429121017456},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10716581344604492},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0861266553401947}],"concepts":[{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.7741618156433105},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6221058368682861},{"id":"https://openalex.org/C188721877","wikidata":"https://www.wikidata.org/wiki/Q103510","display_name":"Bar (unit)","level":2,"score":0.6092533469200134},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5984004139900208},{"id":"https://openalex.org/C18555067","wikidata":"https://www.wikidata.org/wiki/Q8375051","display_name":"Joint (building)","level":2,"score":0.545606791973114},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5402663946151733},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5191994905471802},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3554859757423401},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2659175395965576},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.17779985070228577},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1609429121017456},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10716581344604492},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0861266553401947},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/110860872","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110860872","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"},{"id":"pmh:oai:real.mtak.hu:61590","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400081","display_name":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210140733","host_organization_name":"Library and Information Centre of the Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I4210140733"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1506823273","https://openalex.org/W1588425321","https://openalex.org/W1980120856","https://openalex.org/W2088062469","https://openalex.org/W2139834426","https://openalex.org/W2148291654"],"related_works":["https://openalex.org/W2370598571","https://openalex.org/W2355499472","https://openalex.org/W2349230259","https://openalex.org/W2370818987","https://openalex.org/W2350226651","https://openalex.org/W2361379965","https://openalex.org/W2385204246","https://openalex.org/W2385510272","https://openalex.org/W2348667803","https://openalex.org/W2951274008"],"abstract_inverted_index":{"Let":[0,84],"$(G,p)$":[1,128],"be":[2,13,22,86,166],"a":[3,87,98],"minimally":[4],"infinitesimally":[5,153],"rigid":[6,154],"$d$-dimensional":[7],"bar-and-joint":[8],"framework":[9],"and":[10,56,92],"let":[11],"$L$":[12],"an":[14,50],"equilibrium":[15],"load":[16,20,59,100],"on":[17,140],"$p$.":[18],"The":[19,104],"can":[21,165],"resolved":[23],"by":[24,168],"appropriate":[25],"stresses":[26],"in":[27,66,115],"the":[28,31,38,43,47,57,62,69,73,78,110,117,141,145],"bars":[29,77,114],"of":[30,42,49,68,75,81,90,107,112,144],"framework.":[32,146],"Our":[33],"goal":[34],"is":[35,54,60,109,122,129],"to":[36,102,151],"identify":[37],"following":[39],"parts":[40],"(zones)":[41],"framework:":[44],"(i)":[45],"When":[46],"location":[48],"unloaded":[51],"joint":[52,96],"$v$":[53],"perturbed,":[55],"same":[58],"applied,":[61],"stress":[63],"will":[64],"change":[65],"some":[67],"bars.":[70],"We":[71,124,157],"call":[72],"set":[74,89,111],"these":[76,136,163],"influenced":[79],"zone":[80,106],"$v$.":[82],"(ii)":[83],"$S$":[85,108],"designated":[88],"joints":[91],"suppose":[93],"that":[94,126,160],"each":[95],"with":[97],"nonzero":[99],"belongs":[101],"$S$.":[103],"active":[105],"those":[113],"which":[116,119],"stress,":[118],"resolves":[120],"$L$,":[121],"nonzero.":[123],"prove":[125],"if":[127],"generic,":[130],"then":[131],"for":[132,161],"almost":[133],"all":[134],"loads":[135],"zones":[137,164],"depend":[138],"only":[139],"graph":[142],"$G$":[143],"These":[147],"results":[148],"are":[149],"extended":[150],"arbitrary":[152],"generic":[155],"frameworks.":[156],"also":[158],"show":[159],"$d=2$":[162],"computed":[167],"efficient":[169],"combinatorial":[170],"methods.":[171]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}