{"id":"https://openalex.org/W2071423278","doi":"https://doi.org/10.1007/s00454-002-0727-x","title":"The Number of Congruent Simplices in a Point Set","display_name":"The Number of Congruent Simplices in a Point Set","publication_year":2002,"publication_date":"2002-08-01","ids":{"openalex":"https://openalex.org/W2071423278","doi":"https://doi.org/10.1007/s00454-002-0727-x","mag":"2071423278"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-002-0727-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-002-0727-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-002-0727-x.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 &amp; 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/s00454-002-0727-x.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110913337","display_name":"Agarwal","orcid":null},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Agarwal","raw_affiliation_strings":["Department of Computer Science, Duke University, Durham, NC 27708-0129, USA pankaj@cs.duke.edu , USA","Department of Computer Science, Duke University, Durham, NC 27708-0129, USA pankaj@cs.duke.edu, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Duke University, Durham, NC 27708-0129, USA pankaj@cs.duke.edu , USA","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Department of Computer Science, Duke University, Durham, NC 27708-0129, USA pankaj@cs.duke.edu, USA#TAB#","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021031906","display_name":"Sharir","orcid":null},"institutions":[{"id":"https://openalex.org/I36672615","display_name":"Courant Institute of Mathematical Sciences","ror":"https://ror.org/037tm7f56","country_code":"US","type":"education","lineage":["https://openalex.org/I36672615","https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sharir","raw_affiliation_strings":["School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel sharir@cs.tau.ac.il and Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA, USA","School of Computer Science, Tel Aviv University, Tel-Aviv 69978, Israel sharir@cs.tau.ac.il and Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA, USA"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel sharir@cs.tau.ac.il and Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA, USA","institution_ids":["https://openalex.org/I36672615"]},{"raw_affiliation_string":"School of Computer Science, Tel Aviv University, Tel-Aviv 69978, Israel sharir@cs.tau.ac.il and Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA, USA","institution_ids":["https://openalex.org/I36672615"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110913337"],"corresponding_institution_ids":["https://openalex.org/I170897317"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.232,"has_fulltext":true,"cited_by_count":23,"citation_normalized_percentile":{"value":0.87799244,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"28","issue":"2","first_page":"123","last_page":"150"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9926999807357788,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9907000064849854,"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":0.9160289168357849},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7876399159431458},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6928524971008301},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6773495674133301},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.5876385569572449},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05923640727996826}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.9160289168357849},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7876399159431458},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6928524971008301},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6773495674133301},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.5876385569572449},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05923640727996826}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-002-0727-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-002-0727-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-002-0727-x.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 &amp; Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00454-002-0727-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-002-0727-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-002-0727-x.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 &amp; 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/W2071423278.pdf","grobid_xml":"https://content.openalex.org/works/W2071423278.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W170892534","https://openalex.org/W1521049087","https://openalex.org/W1965146563","https://openalex.org/W1973880851","https://openalex.org/W1996622003","https://openalex.org/W2018858611","https://openalex.org/W2022266599","https://openalex.org/W2023844303","https://openalex.org/W2027387410","https://openalex.org/W2028747718","https://openalex.org/W2050459520","https://openalex.org/W2051635527","https://openalex.org/W2051859868","https://openalex.org/W2054147334","https://openalex.org/W2059155916","https://openalex.org/W2059341873","https://openalex.org/W2080052061","https://openalex.org/W2083644514","https://openalex.org/W2147017508","https://openalex.org/W2155681397","https://openalex.org/W2912202394","https://openalex.org/W4205742199","https://openalex.org/W4300640952","https://openalex.org/W6602697273","https://openalex.org/W6811179486"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W3063662241","https://openalex.org/W3123266805","https://openalex.org/W1973620573"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
