{"id":"https://openalex.org/W1500063450","doi":"https://doi.org/10.1007/10692760_12","title":"Triangles in Euclidean Arrangements","display_name":"Triangles in Euclidean Arrangements","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W1500063450","doi":"https://doi.org/10.1007/10692760_12","mag":"1500063450"},"language":"en","primary_location":{"id":"doi:10.1007/10692760_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/10692760_12","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":"conference-paper","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.17169/refubium-22996","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005468020","display_name":"Stefan Felsner","orcid":"https://orcid.org/0000-0002-6150-1998"},"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":"Stefan Felsner","raw_affiliation_strings":["Fachbereich Mathematik und Informatik, Freie Universit\u00e4t Berlin, Takustr. 9, 14195, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik und Informatik, Freie Universit\u00e4t Berlin, Takustr. 9, 14195, Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009469481","display_name":"Klaus Kriegel","orcid":null},"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":"Klaus Kriegel","raw_affiliation_strings":["Fachbereich Mathematik und Informatik, Freie Universit\u00e4t Berlin, Takustr. 9, 14195, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik und Informatik, Freie Universit\u00e4t Berlin, Takustr. 9, 14195, Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I75951250"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"137","last_page":"148"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9991999864578247,"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":0.9991999864578247,"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/T12504","display_name":"Mathematics and Applications","score":0.996399998664856,"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"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.6906701326370239},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6601315140724182},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5887995362281799},{"id":"https://openalex.org/keywords/projective-plane","display_name":"Projective plane","score":0.5450612902641296},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5153114795684814},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.5128884315490723},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5020797252655029},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48707178235054016},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4710414707660675},{"id":"https://openalex.org/keywords/projective-space","display_name":"Projective space","score":0.42300012707710266},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34456169605255127},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3246547281742096},{"id":"https://openalex.org/keywords/projective-test","display_name":"Projective test","score":0.2772667407989502},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.212650865316391},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1745358109474182},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09240087866783142}],"concepts":[{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.6906701326370239},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6601315140724182},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5887995362281799},{"id":"https://openalex.org/C39290043","wikidata":"https://www.wikidata.org/wiki/Q1475760","display_name":"Projective plane","level":3,"score":0.5450612902641296},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5153114795684814},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.5128884315490723},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5020797252655029},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48707178235054016},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4710414707660675},{"id":"https://openalex.org/C75280867","wikidata":"https://www.wikidata.org/wiki/Q877775","display_name":"Projective space","level":3,"score":0.42300012707710266},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34456169605255127},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3246547281742096},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.2772667407989502},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.212650865316391},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1745358109474182},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09240087866783142},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"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":6,"locations":[{"id":"doi:10.1007/10692760_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/10692760_12","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.30.2767","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.30.2767","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.inf.fu-berlin.de/~felsner/Paper/tri.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.592.2759","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.592.2759","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://page.math.tu-berlin.de/~felsner/Paper/tri.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.897.2776","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.897.2776","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://edocs.fu-berlin.de/docs/servlets/MCRFileNodeServlet/FUDOCS_derivate_000000000312/tr-b-97-09.pdf","raw_type":"text"},{"id":"pmh:oai:refubium.fu-berlin.de:fub188/19340","is_oa":false,"landing_page_url":"https://refubium.fu-berlin.de/handle/fub188/19340","pdf_url":null,"source":{"id":"https://openalex.org/S4306402444","display_name":"Refubium (Universit\u00e4tsbibliothek der Freien Universit\u00e4t Berlin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I75951250","host_organization_name":"Freie Universit\u00e4t Berlin","host_organization_lineage":["https://openalex.org/I75951250"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Arbeitspapier"},{"id":"doi:10.17169/refubium-22996","is_oa":true,"landing_page_url":"https://doi.org/10.17169/refubium-22996","pdf_url":null,"source":{"id":"https://openalex.org/S7407052913","display_name":"Universit\u00e4tsbibliothek der FU Berlin Hochschulschriftenstelle u. Dokumentenserver","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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.17169/refubium-22996","is_oa":true,"landing_page_url":"https://doi.org/10.17169/refubium-22996","pdf_url":null,"source":{"id":"https://openalex.org/S7407052913","display_name":"Universit\u00e4tsbibliothek der FU Berlin Hochschulschriftenstelle u. Dokumentenserver","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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.5099999904632568}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W47661094","https://openalex.org/W294826790","https://openalex.org/W650639416","https://openalex.org/W1964958339","https://openalex.org/W1965060262","https://openalex.org/W1967603179","https://openalex.org/W2009461326","https://openalex.org/W2012246603","https://openalex.org/W2017820487","https://openalex.org/W2087532196","https://openalex.org/W2090095275","https://openalex.org/W2091316025","https://openalex.org/W2971330320","https://openalex.org/W4235282062","https://openalex.org/W4235401965"],"related_works":["https://openalex.org/W3147962709","https://openalex.org/W2314801929","https://openalex.org/W1978908735","https://openalex.org/W78148973","https://openalex.org/W1496979297","https://openalex.org/W3190357833","https://openalex.org/W4313240746","https://openalex.org/W2999935146","https://openalex.org/W2316919128","https://openalex.org/W4287029588"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
