{"id":"https://openalex.org/W1971493697","doi":"https://doi.org/10.1007/s00454-002-2882-5","title":"The Unit Distance Problem for Centrally Symmetric Convex Polygons","display_name":"The Unit Distance Problem for Centrally Symmetric Convex Polygons","publication_year":2002,"publication_date":"2002-11-01","ids":{"openalex":"https://openalex.org/W1971493697","doi":"https://doi.org/10.1007/s00454-002-2882-5","mag":"1971493697"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-002-2882-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-002-2882-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-002-2882-5.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/s00454-002-2882-5.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5097717162","display_name":"\u00c1brego","orcid":null},"institutions":[{"id":"https://openalex.org/I157638225","display_name":"California State University, Northridge","ror":"https://ror.org/005f5hv41","country_code":"US","type":"education","lineage":["https://openalex.org/I157638225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"\u00c1brego","raw_affiliation_strings":["Department of Mathematics, California State University, Northridge, Northridge, CA 91330-8313, USA bernardo.abrego@csun.edu, silvia.fernandez@csun.edu, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, California State University, Northridge, Northridge, CA 91330-8313, USA bernardo.abrego@csun.edu, silvia.fernandez@csun.edu, USA","institution_ids":["https://openalex.org/I157638225"]}]},{"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/I157638225","display_name":"California State University, Northridge","ror":"https://ror.org/005f5hv41","country_code":"US","type":"education","lineage":["https://openalex.org/I157638225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fern\u00e1ndez-Merchant","raw_affiliation_strings":["Department of Mathematics, California State University, Northridge, Northridge, CA 91330-8313, USA bernardo.abrego@csun.edu, silvia.fernandez@csun.edu, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, California State University, Northridge, Northridge, CA 91330-8313, USA bernardo.abrego@csun.edu, silvia.fernandez@csun.edu, USA","institution_ids":["https://openalex.org/I157638225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5097717162"],"corresponding_institution_ids":["https://openalex.org/I157638225"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.3189,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62830743,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"28","issue":"4","first_page":"467","last_page":"473"},"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/T11830","display_name":"Point processes and geometric inequalities","score":0.989300012588501,"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"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9728999733924866,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.884922981262207},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8061403036117554},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6530393958091736},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6363286375999451},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6239330768585205},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.5654008984565735},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5084806680679321},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.45461520552635193},{"id":"https://openalex.org/keywords/convex-polygon","display_name":"Convex polygon","score":0.4180002808570862},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.23587140440940857},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22438707947731018},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14459848403930664}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.884922981262207},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8061403036117554},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6530393958091736},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6363286375999451},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6239330768585205},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.5654008984565735},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5084806680679321},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.45461520552635193},{"id":"https://openalex.org/C2780034980","wikidata":"https://www.wikidata.org/wiki/Q3259505","display_name":"Convex polygon","level":3,"score":0.4180002808570862},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.23587140440940857},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22438707947731018},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14459848403930664},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-002-2882-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-002-2882-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-002-2882-5.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/s00454-002-2882-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-002-2882-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-002-2882-5.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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1971493697.pdf","grobid_xml":"https://content.openalex.org/works/W1971493697.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1592589209","https://openalex.org/W1975526544","https://openalex.org/W1991488719","https://openalex.org/W1998206124","https://openalex.org/W2007311757","https://openalex.org/W2040107129","https://openalex.org/W2912202394"],"related_works":["https://openalex.org/W4226058339","https://openalex.org/W4221156915","https://openalex.org/W2341883566","https://openalex.org/W4301271320","https://openalex.org/W2952186610","https://openalex.org/W2111427182","https://openalex.org/W2971022007","https://openalex.org/W2155076729","https://openalex.org/W1967098823","https://openalex.org/W4382137699"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}