{"id":"https://openalex.org/W1972151861","doi":"https://doi.org/10.1007/s00454-002-2887-0","title":"Restricted Point Configurations with Many Collinear {k}-Tuplets","display_name":"Restricted Point Configurations with Many Collinear {k}-Tuplets","publication_year":2002,"publication_date":"2002-11-01","ids":{"openalex":"https://openalex.org/W1972151861","doi":"https://doi.org/10.1007/s00454-002-2887-0","mag":"1972151861"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-002-2887-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-002-2887-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-002-2887-0.pdf","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 & Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-002-2887-0.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5097960886","display_name":"Ismailescu","orcid":null},"institutions":[{"id":"https://openalex.org/I139290212","display_name":"Hofstra University","ror":"https://ror.org/03pm18j10","country_code":"US","type":"education","lineage":["https://openalex.org/I139290212"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ismailescu","raw_affiliation_strings":["Department of Mathematics, Hofstra University, Hempstead, NY 11549-1000, USA matdpi@hofstra.edu, USA","Department of Mathematics, Hofstra University, Hempstead, NY 11549-1000, USA matdpi@hofstra.edu, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hofstra University, Hempstead, NY 11549-1000, USA matdpi@hofstra.edu, USA","institution_ids":["https://openalex.org/I139290212"]},{"raw_affiliation_string":"Department of Mathematics, Hofstra University, Hempstead, NY 11549-1000, USA matdpi@hofstra.edu, USA#TAB#","institution_ids":["https://openalex.org/I139290212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5097960886"],"corresponding_institution_ids":["https://openalex.org/I139290212"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.9566,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.77131457,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"28","issue":"4","first_page":"571","last_page":"575"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9997000098228455,"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":0.9997000098228455,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9970999956130981,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9909999966621399,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/mathematics","display_name":"Mathematics","score":0.8571857213973999},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8282874822616577},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5759539604187012},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5513198971748352},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4818183481693268},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.4286591410636902},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4218434691429138},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.26513025164604187},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2352513074874878}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8571857213973999},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8282874822616577},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5759539604187012},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5513198971748352},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4818183481693268},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.4286591410636902},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4218434691429138},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.26513025164604187},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2352513074874878},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-002-2887-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-002-2887-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-002-2887-0.pdf","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 & Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00454-002-2887-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-002-2887-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-002-2887-0.pdf","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 & Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1972151861.pdf","grobid_xml":"https://content.openalex.org/works/W1972151861.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W73304290","https://openalex.org/W116441594","https://openalex.org/W257329835","https://openalex.org/W650639416","https://openalex.org/W2018858611","https://openalex.org/W2056196311","https://openalex.org/W2166961358","https://openalex.org/W2171774908","https://openalex.org/W2506725104","https://openalex.org/W6664935296"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W2382326160","https://openalex.org/W2371953206","https://openalex.org/W4324106119","https://openalex.org/W935503476","https://openalex.org/W4245661658","https://openalex.org/W2349543044"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}