{"id":"https://openalex.org/W1690630723","doi":"https://doi.org/10.1007/11809678_23","title":"Enumerating Non-crossing Minimally Rigid Frameworks","display_name":"Enumerating Non-crossing Minimally Rigid Frameworks","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1690630723","doi":"https://doi.org/10.1007/11809678_23","mag":"1690630723"},"language":"en","primary_location":{"id":"doi:10.1007/11809678_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11809678_23","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5020530779","display_name":"David Avis","orcid":null},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"David Avis","raw_affiliation_strings":["School of Computer Science, McGill University, Canada","School of Computer Science, McGill Univ., Canada"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, McGill University, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"School of Computer Science, McGill Univ., Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082448893","display_name":"Naoki Katoh","orcid":null},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]},{"id":"https://openalex.org/I4210097800","display_name":"Kyoto Architecture University","ror":"https://ror.org/00w2erz81","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210097800"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Naoki Katoh","raw_affiliation_strings":["Department of Architecture and Architectural Engineering, Kyoto University, Kyoto, 615-8450, Japan","Department of Architecture and Architectural Engineering, Kyoto University, Kyoto, Japan","Department of Architecture and Architectural Engineering Kyoto University Kyoto Japan"],"affiliations":[{"raw_affiliation_string":"Department of Architecture and Architectural Engineering, Kyoto University, Kyoto, 615-8450, Japan","institution_ids":["https://openalex.org/I4210097800"]},{"raw_affiliation_string":"Department of Architecture and Architectural Engineering, Kyoto University, Kyoto, Japan","institution_ids":["https://openalex.org/I4210097800","https://openalex.org/I22299242"]},{"raw_affiliation_string":"Department of Architecture and Architectural Engineering Kyoto University Kyoto Japan","institution_ids":["https://openalex.org/I4210097800","https://openalex.org/I22299242"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061801862","display_name":"Makoto Ohsaki","orcid":"https://orcid.org/0000-0003-4935-8874"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]},{"id":"https://openalex.org/I4210097800","display_name":"Kyoto Architecture University","ror":"https://ror.org/00w2erz81","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210097800"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Makoto Ohsaki","raw_affiliation_strings":["Department of Architecture and Architectural Engineering, Kyoto University, Kyoto, 615-8450, Japan","Department of Architecture and Architectural Engineering, Kyoto University, Kyoto, Japan","Department of Architecture and Architectural Engineering Kyoto University Kyoto Japan"],"affiliations":[{"raw_affiliation_string":"Department of Architecture and Architectural Engineering, Kyoto University, Kyoto, 615-8450, Japan","institution_ids":["https://openalex.org/I4210097800"]},{"raw_affiliation_string":"Department of Architecture and Architectural Engineering, Kyoto University, Kyoto, Japan","institution_ids":["https://openalex.org/I4210097800","https://openalex.org/I22299242"]},{"raw_affiliation_string":"Department of Architecture and Architectural Engineering Kyoto University Kyoto Japan","institution_ids":["https://openalex.org/I4210097800","https://openalex.org/I22299242"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008565320","display_name":"Ileana Streinu","orcid":"https://orcid.org/0000-0003-2663-2615"},"institutions":[{"id":"https://openalex.org/I202524275","display_name":"Smith College","ror":"https://ror.org/0497crr92","country_code":"US","type":"education","lineage":["https://openalex.org/I202524275"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ileana Streinu","raw_affiliation_strings":["Dept. of Comp. Science, Smith College, Northampton, MA, 01063, USA","Dept. of Comp. Science, Smith College, Northampton, USA","Dept. of Comp. Science, Smith College, Northampton, MA#TAB#"],"affiliations":[{"raw_affiliation_string":"Dept. of Comp. Science, Smith College, Northampton, MA, 01063, USA","institution_ids":["https://openalex.org/I202524275"]},{"raw_affiliation_string":"Dept. of Comp. Science, Smith College, Northampton, USA","institution_ids":["https://openalex.org/I202524275"]},{"raw_affiliation_string":"Dept. of Comp. Science, Smith College, Northampton, MA#TAB#","institution_ids":["https://openalex.org/I202524275"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101441276","display_name":"Shin\u2010ichi Tanigawa","orcid":"https://orcid.org/0000-0002-6834-8017"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]},{"id":"https://openalex.org/I4210097800","display_name":"Kyoto Architecture University","ror":"https://ror.org/00w2erz81","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210097800"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shin-ichi Tanigawa","raw_affiliation_strings":["Department of Architecture and Architectural Engineering, Kyoto University, Kyoto, 615-8450, Japan","Department of Architecture and Architectural Engineering, Kyoto University, Kyoto, Japan","Department of Architecture and Architectural Engineering Kyoto University Kyoto Japan"],"affiliations":[{"raw_affiliation_string":"Department of Architecture and Architectural Engineering, Kyoto University, Kyoto, 615-8450, Japan","institution_ids":["https://openalex.org/I4210097800"]},{"raw_affiliation_string":"Department of Architecture and Architectural Engineering, Kyoto University, Kyoto, Japan","institution_ids":["https://openalex.org/I4210097800","https://openalex.org/I22299242"]},{"raw_affiliation_string":"Department of Architecture and Architectural Engineering Kyoto University Kyoto Japan","institution_ids":["https://openalex.org/I4210097800","https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5020530779"],"corresponding_institution_ids":["https://openalex.org/I5023651"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.8961,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.87252336,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"205","last_page":"215"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11870","display_name":"Structural Analysis and Optimization","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9897000193595886,"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/computer-science","display_name":"Computer science","score":0.5906694531440735},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5381748080253601},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5328465104103088},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.4905211329460144},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.47746992111206055},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4649710953235626},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46411946415901184},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45652666687965393},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.45402342081069946},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40722405910491943},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3510948717594147},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33328914642333984},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15177911520004272},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12084797024726868},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.061614036560058594}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5906694531440735},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5381748080253601},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5328465104103088},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.4905211329460144},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.47746992111206055},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4649710953235626},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46411946415901184},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45652666687965393},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.45402342081069946},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40722405910491943},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3510948717594147},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33328914642333984},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15177911520004272},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12084797024726868},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.061614036560058594},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/11809678_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11809678_23","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W15849867","https://openalex.org/W17578996","https://openalex.org/W90692444","https://openalex.org/W1526955206","https://openalex.org/W1527960886","https://openalex.org/W1575923498","https://openalex.org/W1588425321","https://openalex.org/W1821084768","https://openalex.org/W1980319880","https://openalex.org/W1983281982","https://openalex.org/W2005421767","https://openalex.org/W2030996579","https://openalex.org/W2039429523","https://openalex.org/W2048586141","https://openalex.org/W2060579930","https://openalex.org/W2090529709","https://openalex.org/W2106892538","https://openalex.org/W2121403868","https://openalex.org/W2139834426","https://openalex.org/W4234356172","https://openalex.org/W4248931927","https://openalex.org/W4251345737"],"related_works":["https://openalex.org/W2384380565","https://openalex.org/W2355707807","https://openalex.org/W2000144448","https://openalex.org/W2484545025","https://openalex.org/W2024593554","https://openalex.org/W3003396734","https://openalex.org/W3093288397","https://openalex.org/W2071261821","https://openalex.org/W1978699240","https://openalex.org/W2067133893"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}