{"id":"https://openalex.org/W1984221423","doi":"https://doi.org/10.1016/0012-365x(85)90162-1","title":"On the distribution of distances in finite sets in the plane","display_name":"On the distribution of distances in finite sets in the plane","publication_year":1985,"publication_date":"1985-11-01","ids":{"openalex":"https://openalex.org/W1984221423","doi":"https://doi.org/10.1016/0012-365x(85)90162-1","mag":"1984221423"},"language":"en","primary_location":{"id":"doi:10.1016/0012-365x(85)90162-1","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0012-365x(85)90162-1","pdf_url":"https://www.sciencedirect.com/science/article/pii/0012365X85901621/pdf","source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/0012365X85901621/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039635176","display_name":"K. Vesztergombi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210093117","display_name":"Institut f\u00fcr Medizinische Biometrie, Informatik und Epidemiologie","ror":"https://ror.org/00hyd8090","country_code":"DE","type":"facility","lineage":["https://openalex.org/I135140700","https://openalex.org/I4210093117"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"K Vesztergombi","raw_affiliation_strings":["Bolyai Institute J\u00f3zsef Attila Univ., Szeged, Hungary","Institut f\u00fcr \u00d6konometrie und Operations Research, Univ. Bonn, Fed. Rep. Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bolyai Institute J\u00f3zsef Attila Univ., Szeged, Hungary","institution_ids":[]},{"raw_affiliation_string":"Institut f\u00fcr \u00d6konometrie und Operations Research, Univ. Bonn, Fed. Rep. Germany","institution_ids":["https://openalex.org/I4210093117"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5039635176"],"corresponding_institution_ids":["https://openalex.org/I4210093117"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.6523,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.60290276,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"57","issue":"1-2","first_page":"129","last_page":"145"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9825999736785889,"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"}},"topics":[{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9825999736785889,"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/T12504","display_name":"Mathematics and Applications","score":0.9607999920845032,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9358000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8974854946136475},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7527375221252441},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.6859822869300842},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.6197989583015442},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.571431040763855},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5140076875686646},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.509060800075531},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.4730205535888672},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.4574126899242401},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.42196953296661377},{"id":"https://openalex.org/keywords/triangle-inequality","display_name":"Triangle inequality","score":0.41697585582733154},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3624214231967926},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.2871878445148468},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16388285160064697},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12494748830795288}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8974854946136475},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7527375221252441},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.6859822869300842},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.6197989583015442},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.571431040763855},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5140076875686646},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.509060800075531},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.4730205535888672},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.4574126899242401},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.42196953296661377},{"id":"https://openalex.org/C182964748","wikidata":"https://www.wikidata.org/wiki/Q208216","display_name":"Triangle inequality","level":2,"score":0.41697585582733154},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3624214231967926},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.2871878445148468},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16388285160064697},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12494748830795288},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0012-365x(85)90162-1","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0012-365x(85)90162-1","pdf_url":"https://www.sciencedirect.com/science/article/pii/0012365X85901621/pdf","source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/0012-365x(85)90162-1","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0012-365x(85)90162-1","pdf_url":"https://www.sciencedirect.com/science/article/pii/0012365X85901621/pdf","source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.49000000953674316,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1984221423.pdf","grobid_xml":"https://content.openalex.org/works/W1984221423.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W29797233","https://openalex.org/W4251607172"],"related_works":["https://openalex.org/W2953313174","https://openalex.org/W2341883566","https://openalex.org/W4301271320","https://openalex.org/W2952186610","https://openalex.org/W1984154489","https://openalex.org/W1967098823","https://openalex.org/W2915058047","https://openalex.org/W2076059647","https://openalex.org/W86764353","https://openalex.org/W2046620241"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-02T14:50:37.381335","created_date":"2025-10-10T00:00:00"}