{"id":"https://openalex.org/W3007723092","doi":"https://doi.org/10.1007/s00493-020-4523-0","title":"Equiangular Lines in Low Dimensional Euclidean Spaces","display_name":"Equiangular Lines in Low Dimensional Euclidean Spaces","publication_year":2021,"publication_date":"2021-08-31","ids":{"openalex":"https://openalex.org/W3007723092","doi":"https://doi.org/10.1007/s00493-020-4523-0","mag":"3007723092"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-020-4523-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-020-4523-0","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2002.08085","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054776480","display_name":"Gary R. W. Greaves","orcid":"https://orcid.org/0000-0002-7342-4790"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Gary R. W. Greaves","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore, 637371, Singapore","Division of Mathematical Sciences, School of Physical & Mathematical Sciences, Nanyang Technological University, Singapore, Singapore#TAB#"],"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore, 637371, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical & Mathematical Sciences, Nanyang Technological University, Singapore, Singapore#TAB#","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066137646","display_name":"Jeven Syatriadi","orcid":"https://orcid.org/0000-0002-4250-0199"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Jeven Syatriadi","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore, 637371, Singapore","Division of Mathematical Sciences, School of Physical & Mathematical Sciences, Nanyang Technological University, Singapore, Singapore#TAB#"],"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore, 637371, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical & Mathematical Sciences, Nanyang Technological University, Singapore, Singapore#TAB#","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014446842","display_name":"Pavlo Yatsyna","orcid":"https://orcid.org/0000-0003-2298-8446"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Pavlo Yatsyna","raw_affiliation_strings":["Department of Algebra, Faculty of Mathematics and Physics, Charles University, Sokolovsk\u00e1 83, 18600, Praha 8, Czech Republic","Department of Algebra, Faculty of Mathematics and Physics, Charles University, Praha 8, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of Algebra, Faculty of Mathematics and Physics, Charles University, Sokolovsk\u00e1 83, 18600, Praha 8, Czech Republic","institution_ids":["https://openalex.org/I21250087"]},{"raw_affiliation_string":"Department of Algebra, Faculty of Mathematics and Physics, Charles University, Praha 8, Czech Republic","institution_ids":["https://openalex.org/I21250087"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054776480"],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":4.6532,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.94915636,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"41","issue":"6","first_page":"839","last_page":"872"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9977999925613403,"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/T10849","display_name":"Finite Group Theory Research","score":0.9944999814033508,"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/equiangular-polygon","display_name":"Equiangular polygon","score":0.9329711198806763},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.8145203590393066},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6217383146286011},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6155129075050354},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.6153905987739563},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.5969286561012268},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.5464252233505249},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.43162068724632263},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3494488596916199},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2264590561389923},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19247010350227356},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13345885276794434},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.05003875494003296}],"concepts":[{"id":"https://openalex.org/C41779539","wikidata":"https://www.wikidata.org/wiki/Q2543717","display_name":"Equiangular polygon","level":3,"score":0.9329711198806763},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.8145203590393066},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6217383146286011},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6155129075050354},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.6153905987739563},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.5969286561012268},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.5464252233505249},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.43162068724632263},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3494488596916199},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2264590561389923},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19247010350227356},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13345885276794434},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.05003875494003296},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00493-020-4523-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-020-4523-0","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2002.08085","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2002.08085","pdf_url":"https://arxiv.org/pdf/2002.08085","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:3007723092","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2002.08085.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:dr.ntu.edu.sg:10356/152761","is_oa":false,"landing_page_url":"https://hdl.handle.net/10356/152761","pdf_url":null,"source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},{"id":"doi:10.48550/arxiv.2002.08085","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2002.08085","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2002.08085","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2002.08085","pdf_url":"https://arxiv.org/pdf/2002.08085","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.5799999833106995}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W87140126","https://openalex.org/W94490440","https://openalex.org/W358598360","https://openalex.org/W1509926844","https://openalex.org/W1604395021","https://openalex.org/W1608618407","https://openalex.org/W2001194443","https://openalex.org/W2020125257","https://openalex.org/W2056290359","https://openalex.org/W2086869478","https://openalex.org/W2102988735","https://openalex.org/W2104795888","https://openalex.org/W2156858248","https://openalex.org/W2195670318","https://openalex.org/W2313875609","https://openalex.org/W2612537717","https://openalex.org/W2950241089","https://openalex.org/W2951524228","https://openalex.org/W2962769771","https://openalex.org/W2962992826","https://openalex.org/W2963372144","https://openalex.org/W2963516761","https://openalex.org/W2963784240","https://openalex.org/W2965927173","https://openalex.org/W2991792429","https://openalex.org/W2993665905","https://openalex.org/W2995871012","https://openalex.org/W3007723092","https://openalex.org/W3131825194","https://openalex.org/W3152765944","https://openalex.org/W4213018468","https://openalex.org/W4213328390","https://openalex.org/W6605898770","https://openalex.org/W6607606998"],"related_works":["https://openalex.org/W3198397360","https://openalex.org/W3155516131","https://openalex.org/W2598268110","https://openalex.org/W2744531325","https://openalex.org/W2962992826","https://openalex.org/W2995871012","https://openalex.org/W2949120645","https://openalex.org/W2962752695","https://openalex.org/W3022282434","https://openalex.org/W2029965452","https://openalex.org/W1595239607","https://openalex.org/W3098191527","https://openalex.org/W2949380239","https://openalex.org/W1657506800","https://openalex.org/W2098320263","https://openalex.org/W2418382764","https://openalex.org/W2736398808","https://openalex.org/W2043174865","https://openalex.org/W2001075173","https://openalex.org/W2086869478"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
