{"id":"https://openalex.org/W2075620542","doi":"https://doi.org/10.1007/pl00009497","title":"Solid Coverings of the Euclidean Plane with Incongruent Circles","display_name":"Solid Coverings of the Euclidean Plane with Incongruent Circles","publication_year":2000,"publication_date":"2000-02-01","ids":{"openalex":"https://openalex.org/W2075620542","doi":"https://doi.org/10.1007/pl00009497","mag":"2075620542"},"language":"en","primary_location":{"id":"doi:10.1007/pl00009497","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009497","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009497.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/PL00009497.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108801860","display_name":"A. Florian","orcid":null},"institutions":[{"id":"https://openalex.org/I182212641","display_name":"University of Salzburg","ror":"https://ror.org/05gs8cd61","country_code":"AT","type":"education","lineage":["https://openalex.org/I182212641"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"A. Florian","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Universit\u00e4t Salzburg,   Hellbrunnerstrasse 34, A-5020 Salzburg, Austria   August.Florian@sbg.ac.at \n, , , , , , AT","Institut f\u00fcr Mathematik, Universit\u00e4t Salzburg,   Hellbrunnerstrasse 34, A-5020 Salzburg, Austria   August.Florian@sbg.ac.at #N#, , AT"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t Salzburg,   Hellbrunnerstrasse 34, A-5020 Salzburg, Austria   August.Florian@sbg.ac.at \n, , , , , , AT","institution_ids":["https://openalex.org/I182212641"]},{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t Salzburg,   Hellbrunnerstrasse 34, A-5020 Salzburg, Austria   August.Florian@sbg.ac.at #N#, , AT","institution_ids":["https://openalex.org/I182212641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111741330","display_name":"A. Heppes","orcid":null},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"A. Heppes","raw_affiliation_strings":["Vércse u. 24/A, H-1124 Budapest, Hungary   h9202hep@ella.hu, , , , , , HU","V\u00e9rcse u. 24/A, H-1124 Budapest, Hungary h9202hep@ella.hu, HU"],"affiliations":[{"raw_affiliation_string":"Vércse u. 24/A, H-1124 Budapest, Hungary   h9202hep@ella.hu, , , , , , HU","institution_ids":["https://openalex.org/I106118109"]},{"raw_affiliation_string":"V\u00e9rcse u. 24/A, H-1124 Budapest, Hungary h9202hep@ella.hu, HU","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5108801860"],"corresponding_institution_ids":["https://openalex.org/I182212641"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.5842,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.67279653,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"23","issue":"2","first_page":"225","last_page":"245"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9958000183105469,"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":0.9958000183105469,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9824000000953674,"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/T13685","display_name":"Material Science and Thermodynamics","score":0.979200005531311,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8255518674850464},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.7170952558517456},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.6516658067703247},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6311068534851074},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.29681628942489624}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8255518674850464},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.7170952558517456},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.6516658067703247},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6311068534851074},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.29681628942489624}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/pl00009497","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009497","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009497.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/pl00009497","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009497","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009497.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/W2075620542.pdf","grobid_xml":"https://content.openalex.org/works/W2075620542.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1589055062","https://openalex.org/W1663678889","https://openalex.org/W1977183350","https://openalex.org/W2009094938","https://openalex.org/W2060846640","https://openalex.org/W2100844551","https://openalex.org/W3096741285"],"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/W4238206434","https://openalex.org/W2897501241","https://openalex.org/W187561811"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}