{"id":"https://openalex.org/W1996622003","doi":"https://doi.org/10.1007/pl00009486","title":"On the Maximum Number of Equilateral Triangles, I","display_name":"On the Maximum Number of Equilateral Triangles, I","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1996622003","doi":"https://doi.org/10.1007/pl00009486","mag":"1996622003"},"language":"en","primary_location":{"id":"doi:10.1007/pl00009486","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009486","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009486.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/PL00009486.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033102874","display_name":"Bernardo M. \u00c1brego","orcid":"https://orcid.org/0000-0003-4695-5454"},"institutions":[{"id":"https://openalex.org/I4210096112","display_name":"Rutgers Sexual and Reproductive Health and Rights","ror":"https://ror.org/00rcvgx40","country_code":"NL","type":"other","lineage":["https://openalex.org/I4210096112"]},{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["NL","US"],"is_corresponding":true,"raw_author_name":"B. M. \u00c1brego","raw_affiliation_strings":["Department of Mathematics, Rutgers University,  New Brunswick, NJ 08801, USA abrego@math.rutgers.edu, sfernand@math.rutgers.edu, , , , , , US","Department of Mathematics, Rutgers University, New Brunswick, NJ 08801, USA abrego@math.rutgers.edu, sfernand@math.rutgers.edu, US"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rutgers University,  New Brunswick, NJ 08801, USA abrego@math.rutgers.edu, sfernand@math.rutgers.edu, , , , , , US","institution_ids":["https://openalex.org/I4210096112","https://openalex.org/I102322142"]},{"raw_affiliation_string":"Department of Mathematics, Rutgers University, New Brunswick, NJ 08801, USA abrego@math.rutgers.edu, sfernand@math.rutgers.edu, US","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065145319","display_name":"Silvia Fern\u00e1ndez\u2010Merchant","orcid":"https://orcid.org/0000-0003-2080-106X"},"institutions":[{"id":"https://openalex.org/I4210096112","display_name":"Rutgers Sexual and Reproductive Health and Rights","ror":"https://ror.org/00rcvgx40","country_code":"NL","type":"other","lineage":["https://openalex.org/I4210096112"]},{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["NL","US"],"is_corresponding":false,"raw_author_name":"S. Fern\u00e1ndez-Merchant","raw_affiliation_strings":["Department of Mathematics, Rutgers University,  New Brunswick, NJ 08801, USA abrego@math.rutgers.edu, sfernand@math.rutgers.edu, , , , , , US","Department of Mathematics, Rutgers University, New Brunswick, NJ 08801, USA abrego@math.rutgers.edu, sfernand@math.rutgers.edu, US"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rutgers University,  New Brunswick, NJ 08801, USA abrego@math.rutgers.edu, sfernand@math.rutgers.edu, , , , , , US","institution_ids":["https://openalex.org/I4210096112","https://openalex.org/I102322142"]},{"raw_affiliation_string":"Department of Mathematics, Rutgers University, New Brunswick, NJ 08801, USA abrego@math.rutgers.edu, sfernand@math.rutgers.edu, US","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5033102874"],"corresponding_institution_ids":["https://openalex.org/I102322142","https://openalex.org/I4210096112"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.8096,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.91071969,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"23","issue":"1","first_page":"129","last_page":"135"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9991000294685364,"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/equilateral-triangle","display_name":"Equilateral triangle","score":0.9737511873245239},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8565426468849182},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8418290615081787},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.325877845287323},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22288641333580017}],"concepts":[{"id":"https://openalex.org/C146786541","wikidata":"https://www.wikidata.org/wiki/Q157002","display_name":"Equilateral triangle","level":2,"score":0.9737511873245239},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8565426468849182},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8418290615081787},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.325877845287323},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22288641333580017}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/pl00009486","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009486","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009486.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/pl00009486","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009486","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009486.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/W1996622003.pdf","grobid_xml":"https://content.openalex.org/works/W1996622003.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W170892534","https://openalex.org/W1572708899","https://openalex.org/W1964064964","https://openalex.org/W1967390064","https://openalex.org/W1970934335","https://openalex.org/W2018858611","https://openalex.org/W2051635527","https://openalex.org/W2083644514","https://openalex.org/W2130771518","https://openalex.org/W2155681397","https://openalex.org/W2319149236","https://openalex.org/W2912202394","https://openalex.org/W4205742199","https://openalex.org/W4210573031","https://openalex.org/W4211205179","https://openalex.org/W4295634057","https://openalex.org/W6607001093","https://openalex.org/W6634124018"],"related_works":["https://openalex.org/W3204326392","https://openalex.org/W2508087100","https://openalex.org/W3161792707","https://openalex.org/W2500000936","https://openalex.org/W2086778274","https://openalex.org/W2780411548","https://openalex.org/W4223515324","https://openalex.org/W2952999242","https://openalex.org/W2066707154","https://openalex.org/W4226286897"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}