{"id":"https://openalex.org/W3003819098","doi":"https://doi.org/10.1007/s00454-022-00379-8","title":"Combining Realization Space Models of Polytopes","display_name":"Combining Realization Space Models of Polytopes","publication_year":2022,"publication_date":"2022-04-19","ids":{"openalex":"https://openalex.org/W3003819098","doi":"https://doi.org/10.1007/s00454-022-00379-8","mag":"3003819098"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-022-00379-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-022-00379-8","pdf_url":null,"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 &amp; Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/10316/113917","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017216022","display_name":"Jo\u00e3o Gouveia","orcid":"https://orcid.org/0000-0001-8345-9754"},"institutions":[{"id":"https://openalex.org/I76903346","display_name":"University of Coimbra","ror":"https://ror.org/04z8k9a98","country_code":"PT","type":"education","lineage":["https://openalex.org/I76903346"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Jo\u00e3o Gouveia","raw_affiliation_strings":["CMUC, Department of Mathematics, University of Coimbra, 3001-454, Coimbra, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CMUC, Department of Mathematics, University of Coimbra, 3001-454, Coimbra, Portugal","institution_ids":["https://openalex.org/I76903346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036876704","display_name":"Antonio Macchia","orcid":"https://orcid.org/0000-0001-9680-0560"},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Antonio Macchia","raw_affiliation_strings":["Fachbereich Mathematik und Informatik, Freie Universit\u00e4t Berlin, Arnimallee 2, 14195, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik und Informatik, Freie Universit\u00e4t Berlin, Arnimallee 2, 14195, Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084439785","display_name":"Amy Wiebe","orcid":"https://orcid.org/0000-0002-0804-6252"},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Amy Wiebe","raw_affiliation_strings":["Fachbereich Mathematik und Informatik, Freie Universit\u00e4t Berlin, Arnimallee 2, 14195, Berlin, Germany"],"raw_orcid":"https://orcid.org/0000-0002-0804-6252","affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik und Informatik, Freie Universit\u00e4t Berlin, Arnimallee 2, 14195, Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5017216022"],"corresponding_institution_ids":["https://openalex.org/I76903346"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.2771,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.50929112,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"69","issue":"2","first_page":"505","last_page":"542"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11797","display_name":"graph theory and CDMA systems","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T12504","display_name":"Mathematics and Applications","score":0.9495999813079834,"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/realizability","display_name":"Realizability","score":0.9216790199279785},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.859688401222229},{"id":"https://openalex.org/keywords/grassmannian","display_name":"Grassmannian","score":0.794226348400116},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7580288648605347},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.7117440700531006},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.6895191669464111},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5292567610740662},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5276588201522827},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.47899124026298523},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38921821117401123},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35169869661331177},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2681746482849121},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2253158986568451},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1949990689754486}],"concepts":[{"id":"https://openalex.org/C2776378722","wikidata":"https://www.wikidata.org/wiki/Q3454417","display_name":"Realizability","level":2,"score":0.9216790199279785},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.859688401222229},{"id":"https://openalex.org/C162929932","wikidata":"https://www.wikidata.org/wiki/Q129638","display_name":"Grassmannian","level":2,"score":0.794226348400116},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7580288648605347},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.7117440700531006},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.6895191669464111},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5292567610740662},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5276588201522827},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.47899124026298523},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38921821117401123},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35169869661331177},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2681746482849121},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2253158986568451},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1949990689754486},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00454-022-00379-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-022-00379-8","pdf_url":null,"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 &amp; Computational Geometry","raw_type":"journal-article"},{"id":"pmh:oai:estudogeral.uc.pt:10316/113917","is_oa":true,"landing_page_url":"https://hdl.handle.net/10316/113917","pdf_url":null,"source":{"id":"https://openalex.org/S4306402070","display_name":"Estudo Geral (Universidad de Coimbra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I76903346","host_organization_name":"University of Coimbra","host_organization_lineage":["https://openalex.org/I76903346"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:estudogeral.uc.pt:10316/113917","is_oa":true,"landing_page_url":"https://hdl.handle.net/10316/113917","pdf_url":null,"source":{"id":"https://openalex.org/S4306402070","display_name":"Estudo Geral (Universidad de Coimbra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I76903346","host_organization_name":"University of Coimbra","host_organization_lineage":["https://openalex.org/I76903346"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3477186476","display_name":null,"funder_award_id":"UID/MAT/00324/2019","funder_id":"https://openalex.org/F4320335246","funder_display_name":"Centro de Matem\u00e1tica, Universidade de Coimbra"},{"id":"https://openalex.org/G7370262331","display_name":null,"funder_award_id":"EVF-2015-230","funder_id":"https://openalex.org/F4320323688","funder_display_name":"Einstein Stiftung Berlin"}],"funders":[{"id":"https://openalex.org/F4320323688","display_name":"Einstein Stiftung Berlin","ror":"https://ror.org/03s0fv852"},{"id":"https://openalex.org/F4320335246","display_name":"Centro de Matem\u00e1tica, Universidade de Coimbra","ror":"https://ror.org/04z8k9a98"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W94985437","https://openalex.org/W1520114710","https://openalex.org/W1534374921","https://openalex.org/W1551329641","https://openalex.org/W1602709408","https://openalex.org/W1672638072","https://openalex.org/W1965348547","https://openalex.org/W1976214888","https://openalex.org/W1987569845","https://openalex.org/W1989799593","https://openalex.org/W1998068016","https://openalex.org/W2061987651","https://openalex.org/W2062763281","https://openalex.org/W2068488136","https://openalex.org/W2069825454","https://openalex.org/W2136913471","https://openalex.org/W2218862664","https://openalex.org/W2319466955","https://openalex.org/W2499989309","https://openalex.org/W2593618663","https://openalex.org/W2949373715","https://openalex.org/W2963230818","https://openalex.org/W2964325641","https://openalex.org/W2966138769","https://openalex.org/W2969180071","https://openalex.org/W2972911321","https://openalex.org/W2972937824","https://openalex.org/W2999310251","https://openalex.org/W3046317678","https://openalex.org/W3088452518","https://openalex.org/W3099380148","https://openalex.org/W3103462803","https://openalex.org/W3105500412","https://openalex.org/W3208715908","https://openalex.org/W4210631977","https://openalex.org/W4229999842","https://openalex.org/W4293097209"],"related_works":["https://openalex.org/W1603488308","https://openalex.org/W4298120007","https://openalex.org/W2136737082","https://openalex.org/W2321910655","https://openalex.org/W3173554384","https://openalex.org/W1605230792","https://openalex.org/W4298711161","https://openalex.org/W2059218582","https://openalex.org/W2034006307","https://openalex.org/W2121165040"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
