{"id":"https://openalex.org/W3093733732","doi":"https://doi.org/10.1007/s00454-022-00370-3","title":"New Upper Bounds for the Number of Embeddings of Minimally Rigid Graphs","display_name":"New Upper Bounds for the Number of Embeddings of Minimally Rigid Graphs","publication_year":2022,"publication_date":"2022-03-19","ids":{"openalex":"https://openalex.org/W3093733732","doi":"https://doi.org/10.1007/s00454-022-00370-3","mag":"3093733732"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-022-00370-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-022-00370-3","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2010.10578","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091017449","display_name":"Evangelos Bartzos","orcid":"https://orcid.org/0000-0002-3117-9694"},"institutions":[{"id":"https://openalex.org/I200777214","display_name":"National and Kapodistrian University of Athens","ror":"https://ror.org/04gnjpq42","country_code":"GR","type":"education","lineage":["https://openalex.org/I200777214"]},{"id":"https://openalex.org/I4210146074","display_name":"Analyse, G\u00e9om\u00e9trie et Mod\u00e9lisation","ror":"https://ror.org/03qgt2624","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210141950","https://openalex.org/I4210142324","https://openalex.org/I4210146074"]},{"id":"https://openalex.org/I4210156054","display_name":"Athena Research and Innovation Center In Information Communication & Knowledge Technologies","ror":"https://ror.org/0576by029","country_code":"GR","type":"facility","lineage":["https://openalex.org/I4210156054"]}],"countries":["FR","GR"],"is_corresponding":true,"raw_author_name":"Evangelos Bartzos","raw_affiliation_strings":["Department of Informatics & Telecommunications, National & Kapodistrian University of Athens, 15784, Athens, Greece","\u201cAthena\u201d Research Center, 15125, Maroussi, Greece","National and Kapodistrian University of Athens","AlgebRe, geOmetrie, Modelisation et AlgoriTHmes"],"affiliations":[{"raw_affiliation_string":"Department of Informatics & Telecommunications, National & Kapodistrian University of Athens, 15784, Athens, Greece","institution_ids":["https://openalex.org/I200777214"]},{"raw_affiliation_string":"\u201cAthena\u201d Research Center, 15125, Maroussi, Greece","institution_ids":["https://openalex.org/I4210156054"]},{"raw_affiliation_string":"National and Kapodistrian University of Athens","institution_ids":["https://openalex.org/I200777214"]},{"raw_affiliation_string":"AlgebRe, geOmetrie, Modelisation et AlgoriTHmes","institution_ids":["https://openalex.org/I4210146074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087662998","display_name":"Ioannis Z. Emiris","orcid":"https://orcid.org/0000-0002-2339-5303"},"institutions":[{"id":"https://openalex.org/I200777214","display_name":"National and Kapodistrian University of Athens","ror":"https://ror.org/04gnjpq42","country_code":"GR","type":"education","lineage":["https://openalex.org/I200777214"]},{"id":"https://openalex.org/I4210146074","display_name":"Analyse, G\u00e9om\u00e9trie et Mod\u00e9lisation","ror":"https://ror.org/03qgt2624","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210141950","https://openalex.org/I4210142324","https://openalex.org/I4210146074"]},{"id":"https://openalex.org/I4210156054","display_name":"Athena Research and Innovation Center In Information Communication & Knowledge Technologies","ror":"https://ror.org/0576by029","country_code":"GR","type":"facility","lineage":["https://openalex.org/I4210156054"]}],"countries":["FR","GR"],"is_corresponding":false,"raw_author_name":"Ioannis Z. Emiris","raw_affiliation_strings":["Department of Informatics & Telecommunications, National & Kapodistrian University of Athens, 15784, Athens, Greece","\u201cAthena\u201d Research Center, 15125, Maroussi, Greece","National and Kapodistrian University of Athens","Athena Research and Innovation Centre","AlgebRe, geOmetrie, Modelisation et AlgoriTHmes"],"affiliations":[{"raw_affiliation_string":"Department of Informatics & Telecommunications, National & Kapodistrian University of Athens, 15784, Athens, Greece","institution_ids":["https://openalex.org/I200777214"]},{"raw_affiliation_string":"\u201cAthena\u201d Research Center, 15125, Maroussi, Greece","institution_ids":["https://openalex.org/I4210156054"]},{"raw_affiliation_string":"National and Kapodistrian University of Athens","institution_ids":["https://openalex.org/I200777214"]},{"raw_affiliation_string":"Athena Research and Innovation Centre","institution_ids":["https://openalex.org/I4210156054"]},{"raw_affiliation_string":"AlgebRe, geOmetrie, Modelisation et AlgoriTHmes","institution_ids":["https://openalex.org/I4210146074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078092920","display_name":"Raimundas Vid\u016bnas","orcid":"https://orcid.org/0000-0002-9124-7804"},"institutions":[{"id":"https://openalex.org/I173212132","display_name":"Vilnius University","ror":"https://ror.org/03nadee84","country_code":"LT","type":"education","lineage":["https://openalex.org/I173212132"]}],"countries":["LT"],"is_corresponding":false,"raw_author_name":"Raimundas Vidunas","raw_affiliation_strings":["Institute of Applied Mathematics, Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, 03225, Vilnius, Lithuania","Vilnius University [Vilnius]"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics, Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, 03225, Vilnius, Lithuania","institution_ids":["https://openalex.org/I173212132"]},{"raw_affiliation_string":"Vilnius University [Vilnius]","institution_ids":["https://openalex.org/I173212132"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5091017449"],"corresponding_institution_ids":["https://openalex.org/I200777214","https://openalex.org/I4210146074","https://openalex.org/I4210156054"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.5731,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.6071111,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"68","issue":"3","first_page":"796","last_page":"816"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11870","display_name":"Structural Analysis and Optimization","score":0.9994000196456909,"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":0.9994000196456909,"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/T10379","display_name":"Cellular Mechanics and Interactions","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/1307","display_name":"Cell 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"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9927999973297119,"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/combinatorics","display_name":"Combinatorics","score":0.8220791816711426},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7295111417770386},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.7054852843284607},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5544320344924927},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.5496044754981995},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5019779205322266},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38367536664009094},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.37649819254875183}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8220791816711426},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7295111417770386},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7054852843284607},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5544320344924927},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.5496044754981995},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5019779205322266},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38367536664009094},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.37649819254875183},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00454-022-00370-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-022-00370-3","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:arXiv.org:2010.10578","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2010.10578","pdf_url":"https://arxiv.org/pdf/2010.10578","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":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-03895585v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03895585","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"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":"Discrete and Computational Geometry, 2022, 68 (3), pp.796. &#x27E8;10.1007/s00454-022-00370-3&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2010.10578","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2010.10578","pdf_url":"https://arxiv.org/pdf/2010.10578","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1328146827","display_name":null,"funder_award_id":"675789","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"}],"funders":[{"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":44,"referenced_works":["https://openalex.org/W90692444","https://openalex.org/W251156324","https://openalex.org/W1488960947","https://openalex.org/W1494380125","https://openalex.org/W1506823273","https://openalex.org/W1522692516","https://openalex.org/W1587404451","https://openalex.org/W1588425321","https://openalex.org/W1691290619","https://openalex.org/W1948893736","https://openalex.org/W1964537835","https://openalex.org/W1987075624","https://openalex.org/W2013407568","https://openalex.org/W2026588045","https://openalex.org/W2037009986","https://openalex.org/W2046598752","https://openalex.org/W2055287661","https://openalex.org/W2058653097","https://openalex.org/W2061803500","https://openalex.org/W2098571099","https://openalex.org/W2101225972","https://openalex.org/W2109468620","https://openalex.org/W2114049990","https://openalex.org/W2138296912","https://openalex.org/W2139834426","https://openalex.org/W2143023483","https://openalex.org/W2149006912","https://openalex.org/W2337478696","https://openalex.org/W2581659641","https://openalex.org/W2766037965","https://openalex.org/W2784208434","https://openalex.org/W2799004609","https://openalex.org/W2902145203","https://openalex.org/W2919578294","https://openalex.org/W3043945154","https://openalex.org/W3100954173","https://openalex.org/W3101761638","https://openalex.org/W3102833916","https://openalex.org/W3105353950","https://openalex.org/W3195408583","https://openalex.org/W4213214460","https://openalex.org/W4250817735","https://openalex.org/W4252017042","https://openalex.org/W4299482635"],"related_works":["https://openalex.org/W2467119940","https://openalex.org/W3194077685","https://openalex.org/W2152758797","https://openalex.org/W2382762871","https://openalex.org/W2950599922","https://openalex.org/W2062219402","https://openalex.org/W4286787881","https://openalex.org/W3049435653","https://openalex.org/W2391509332","https://openalex.org/W4287865632"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2025-10-10T00:00:00"}
