{"id":"https://openalex.org/W1996684055","doi":"https://doi.org/10.1016/0195-6698(95)90005-5","title":"Skeletal rigidity of simplicial complexes, II","display_name":"Skeletal rigidity of simplicial complexes, II","publication_year":1995,"publication_date":"1995-09-01","ids":{"openalex":"https://openalex.org/W1996684055","doi":"https://doi.org/10.1016/0195-6698(95)90005-5","mag":"1996684055"},"language":"en","primary_location":{"id":"doi:10.1016/0195-6698(95)90005-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0195-6698(95)90005-5","pdf_url":null,"source":{"id":"https://openalex.org/S204851967","display_name":"European Journal of Combinatorics","issn_l":"0195-6698","issn":["0195-6698","1095-9971"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Combinatorics","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/A5035225056","display_name":"Tiong-Seng Tay","orcid":null},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Tiong-Seng Tay","raw_affiliation_strings":["Department of Mathematics, University of Singapore, 10 Kent Ridge Cresent, Singapore 0511 Singapore","Department of Mathematics, University of Singapore, 10 Kent Ridge Crescent, Singapore 0511 Singapore"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Singapore, 10 Kent Ridge Cresent, Singapore 0511 Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"Department of Mathematics, University of Singapore, 10 Kent Ridge Crescent, Singapore 0511 Singapore","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111697807","display_name":"Neil White","orcid":null},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Neil White","raw_affiliation_strings":["Department of Mathematics, University of Florida, Gainesville, Florida 32611, USA","Department of Mathematics, University of Florida, Gainesville, Florida 32611 U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Florida, Gainesville, Florida 32611, USA","institution_ids":["https://openalex.org/I33213144"]},{"raw_affiliation_string":"Department of Mathematics, University of Florida, Gainesville, Florida 32611 U.S.A","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037618343","display_name":"Walter Whiteley","orcid":null},"institutions":[{"id":"https://openalex.org/I192455969","display_name":"York University","ror":"https://ror.org/05fq50484","country_code":"CA","type":"education","lineage":["https://openalex.org/I192455969"]},{"id":"https://openalex.org/I56007636","display_name":"Keele University","ror":"https://ror.org/00340yn33","country_code":"GB","type":"education","lineage":["https://openalex.org/I56007636"]}],"countries":["CA","GB"],"is_corresponding":true,"raw_author_name":"Walter Whiteley","raw_affiliation_strings":["Department of Mathematics and Statistics, York University, 4700 Keele Street, North York, Ontario M3J 1P3, Canada","Department of Mahematics and Statistics, York University, 4700 Keele Street., North York, Ontario M3J 1P3, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, York University, 4700 Keele Street, North York, Ontario M3J 1P3, Canada","institution_ids":["https://openalex.org/I192455969"]},{"raw_affiliation_string":"Department of Mahematics and Statistics, York University, 4700 Keele Street., North York, Ontario M3J 1P3, Canada","institution_ids":["https://openalex.org/I56007636"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5035225056","https://openalex.org/A5037618343","https://openalex.org/A5111697807"],"corresponding_institution_ids":["https://openalex.org/I165932596","https://openalex.org/I192455969","https://openalex.org/I33213144","https://openalex.org/I56007636"],"apc_list":{"value":2880,"currency":"USD","value_usd":2880},"apc_paid":null,"fwci":1.4996,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.80438871,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"16","issue":"5","first_page":"503","last_page":"523"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9983999729156494,"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"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9983999729156494,"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"}},{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.996399998664856,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9944999814033508,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/simplicial-manifold","display_name":"Simplicial manifold","score":0.841221034526825},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.791479229927063},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.7890841960906982},{"id":"https://openalex.org/keywords/simplicial-approximation-theorem","display_name":"Simplicial approximation theorem","score":0.7432647943496704},{"id":"https://openalex.org/keywords/infinitesimal","display_name":"Infinitesimal","score":0.738205075263977},{"id":"https://openalex.org/keywords/rigidity","display_name":"Rigidity (electromagnetism)","score":0.7316611409187317},{"id":"https://openalex.org/keywords/abstract-simplicial-complex","display_name":"Abstract simplicial complex","score":0.7281991839408875},{"id":"https://openalex.org/keywords/simplicial-homology","display_name":"Simplicial homology","score":0.7011314630508423},{"id":"https://openalex.org/keywords/simplicial-set","display_name":"Simplicial set","score":0.631281852722168},{"id":"https://openalex.org/keywords/h-vector","display_name":"h-vector","score":0.5991640686988831},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5432376861572266},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.5100813508033752},{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.4712677001953125},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3704484701156616},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07801863551139832}],"concepts":[{"id":"https://openalex.org/C97172818","wikidata":"https://www.wikidata.org/wiki/Q7520904","display_name":"Simplicial manifold","level":5,"score":0.841221034526825},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.791479229927063},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.7890841960906982},{"id":"https://openalex.org/C64245159","wikidata":"https://www.wikidata.org/wiki/Q3983972","display_name":"Simplicial approximation theorem","level":5,"score":0.7432647943496704},{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.738205075263977},{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.7316611409187317},{"id":"https://openalex.org/C146867743","wikidata":"https://www.wikidata.org/wiki/Q4669959","display_name":"Abstract simplicial complex","level":3,"score":0.7281991839408875},{"id":"https://openalex.org/C3469331","wikidata":"https://www.wikidata.org/wiki/Q7520902","display_name":"Simplicial homology","level":3,"score":0.7011314630508423},{"id":"https://openalex.org/C155366967","wikidata":"https://www.wikidata.org/wiki/Q1467124","display_name":"Simplicial set","level":4,"score":0.631281852722168},{"id":"https://openalex.org/C127634017","wikidata":"https://www.wikidata.org/wiki/Q5627866","display_name":"h-vector","level":3,"score":0.5991640686988831},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5432376861572266},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.5100813508033752},{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.4712677001953125},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3704484701156616},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07801863551139832},{"id":"https://openalex.org/C79236096","wikidata":"https://www.wikidata.org/wiki/Q14775269","display_name":"Homotopy category","level":3,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/0195-6698(95)90005-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0195-6698(95)90005-5","pdf_url":null,"source":{"id":"https://openalex.org/S204851967","display_name":"European Journal of Combinatorics","issn_l":"0195-6698","issn":["0195-6698","1095-9971"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:scholarbank.nus.edu.sg:10635/104132","is_oa":false,"landing_page_url":"http://scholarbank.nus.edu.sg/handle/10635/104132","pdf_url":null,"source":{"id":"https://openalex.org/S7407052290","display_name":"National University of Singapore","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.550000011920929,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W136053314","https://openalex.org/W608832534","https://openalex.org/W1496383623","https://openalex.org/W1515761639","https://openalex.org/W1528267390","https://openalex.org/W1530473604","https://openalex.org/W1530933630","https://openalex.org/W1964602626","https://openalex.org/W1987621408","https://openalex.org/W1998973221","https://openalex.org/W1999112095","https://openalex.org/W2012097089","https://openalex.org/W2015637376","https://openalex.org/W2018645515","https://openalex.org/W2035467587","https://openalex.org/W2044618927","https://openalex.org/W2048965449","https://openalex.org/W2050846917","https://openalex.org/W2064225084","https://openalex.org/W2068418846","https://openalex.org/W2070613680","https://openalex.org/W2134654723","https://openalex.org/W2247904849","https://openalex.org/W2522655548","https://openalex.org/W2990204024","https://openalex.org/W3163877190","https://openalex.org/W4205292892","https://openalex.org/W4240578673","https://openalex.org/W4247863020","https://openalex.org/W6631608386","https://openalex.org/W6770476690"],"related_works":["https://openalex.org/W3135271616","https://openalex.org/W4288359443","https://openalex.org/W3033469176","https://openalex.org/W2969857904","https://openalex.org/W2103738419","https://openalex.org/W2943582562","https://openalex.org/W1761516028","https://openalex.org/W230527091","https://openalex.org/W1968035417","https://openalex.org/W2133717328"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}