{"id":"https://openalex.org/W1551919361","doi":"https://doi.org/10.1007/978-3-540-72792-7_10","title":"Distinct Triangle Areas in a Planar Point Set","display_name":"Distinct Triangle Areas in a Planar Point Set","publication_year":2007,"publication_date":"2007-06-25","ids":{"openalex":"https://openalex.org/W1551919361","doi":"https://doi.org/10.1007/978-3-540-72792-7_10","mag":"1551919361"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-72792-7_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-72792-7_10","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/A5091313409","display_name":"Adrian Dumitrescu","orcid":"https://orcid.org/0000-0002-1118-0321"},"institutions":[{"id":"https://openalex.org/I43579087","display_name":"University of Wisconsin\u2013Milwaukee","ror":"https://ror.org/031q21x57","country_code":"US","type":"education","lineage":["https://openalex.org/I43579087"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Adrian Dumitrescu","raw_affiliation_strings":["Deptartment of Computer Science, University of Wisconsin-Milwaukee, WI 53201-0784, USA"],"affiliations":[{"raw_affiliation_string":"Deptartment of Computer Science, University of Wisconsin-Milwaukee, WI 53201-0784, USA","institution_ids":["https://openalex.org/I43579087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030799674","display_name":"Csaba D. T\u00f3th","orcid":"https://orcid.org/0000-0002-8769-3190"},"institutions":[{"id":"https://openalex.org/I4210110987","display_name":"IIT@MIT","ror":"https://ror.org/01wp8zh54","country_code":"US","type":"facility","lineage":["https://openalex.org/I30771326","https://openalex.org/I4210110987"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Csaba D. T\u00f3th","raw_affiliation_strings":["Department of Mathematics, MIT, Cambridge, MA 02139, USA","Department of Mathematics, MIT, Cambridge, MA 02139, USA ("],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, MIT, Cambridge, MA 02139, USA","institution_ids":["https://openalex.org/I4210110987"]},{"raw_affiliation_string":"Department of Mathematics, MIT, Cambridge, MA 02139, USA (","institution_ids":["https://openalex.org/I4210110987"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091313409"],"corresponding_institution_ids":["https://openalex.org/I43579087"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.1363,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.84359401,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"119","last_page":"129"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"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":0.9998999834060669,"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/T12698","display_name":"3D Modeling in Geospatial Applications","score":0.9865999817848206,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9843000173568726,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8229237794876099},{"id":"https://openalex.org/keywords/approx","display_name":"Approx","score":0.7634467482566833},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.667711615562439},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5993525385856628},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.5964769721031189},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.43712741136550903},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4215725064277649},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3888700306415558},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.052433282136917114}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8229237794876099},{"id":"https://openalex.org/C2777894999","wikidata":"https://www.wikidata.org/wiki/Q4781758","display_name":"Approx","level":2,"score":0.7634467482566833},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.667711615562439},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5993525385856628},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5964769721031189},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.43712741136550903},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4215725064277649},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3888700306415558},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.052433282136917114},{"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/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-72792-7_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-72792-7_10","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":29,"referenced_works":["https://openalex.org/W55098276","https://openalex.org/W116441594","https://openalex.org/W246837549","https://openalex.org/W606453859","https://openalex.org/W1539895965","https://openalex.org/W1572708899","https://openalex.org/W1987083437","https://openalex.org/W1988090433","https://openalex.org/W1998563847","https://openalex.org/W2040885117","https://openalex.org/W2047819748","https://openalex.org/W2074065886","https://openalex.org/W2074825559","https://openalex.org/W2083644514","https://openalex.org/W2094422067","https://openalex.org/W2101764588","https://openalex.org/W2155681397","https://openalex.org/W2168138462","https://openalex.org/W2313298573","https://openalex.org/W2316930055","https://openalex.org/W2319149236","https://openalex.org/W2320284555","https://openalex.org/W2481227236","https://openalex.org/W2912202394","https://openalex.org/W2949342774","https://openalex.org/W4211205179","https://openalex.org/W4242264976","https://openalex.org/W4247006625","https://openalex.org/W4295634057"],"related_works":["https://openalex.org/W2277483927","https://openalex.org/W1867383269","https://openalex.org/W399943172","https://openalex.org/W2010009304","https://openalex.org/W2300902614","https://openalex.org/W2006117736","https://openalex.org/W2371953206","https://openalex.org/W2361023359","https://openalex.org/W2349543044","https://openalex.org/W3007915326"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
