{"id":"https://openalex.org/W1593302568","doi":"https://doi.org/10.1007/s00454-004-1101-y","title":"Finite Coverings in the Hyperbolic Plane","display_name":"Finite Coverings in the Hyperbolic Plane","publication_year":2004,"publication_date":"2004-06-12","ids":{"openalex":"https://openalex.org/W1593302568","doi":"https://doi.org/10.1007/s00454-004-1101-y","mag":"1593302568"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-004-1101-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-004-1101-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-004-1101-y.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/s00454-004-1101-y.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017014622","display_name":"K\u00e1roly J. B\u00f6r\u00f6czky","orcid":"https://orcid.org/0000-0002-2882-4496"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"K\u00e1roly B\u00f6r\u00f6czky","raw_affiliation_strings":["Alfr\u00e9d R\u00e9nyi Institute of Mathematics, P.O. Box 127, H-1364 Budapest, Hungary","Alfr\u00e9d R\u00e9nyi Institute of Mathematics, P.O. Box 127, H-1364 Budapest, Hungary#TAB#"],"affiliations":[{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics, P.O. Box 127, H-1364 Budapest, Hungary","institution_ids":["https://openalex.org/I127817813"]},{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics, P.O. Box 127, H-1364 Budapest, Hungary#TAB#","institution_ids":["https://openalex.org/I127817813"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5017014622"],"corresponding_institution_ids":["https://openalex.org/I127817813"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.07491891,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"33","issue":"1","first_page":"165","last_page":"180"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9995999932289124,"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":0.9995999932289124,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9970999956130981,"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":0.9970999956130981,"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":0.8730553984642029},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.6713571548461914},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6648790836334229},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.6494159698486328},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6381421089172363},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.6087039709091187},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.598088264465332},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5629675984382629},{"id":"https://openalex.org/keywords/hyperbolic-geometry","display_name":"Hyperbolic geometry","score":0.5334275960922241},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5031322836875916},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.5022997856140137},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.49572694301605225},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4933415949344635},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.4553662836551666},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40163716673851013},{"id":"https://openalex.org/keywords/differential-geometry","display_name":"Differential geometry","score":0.12584611773490906}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8730553984642029},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.6713571548461914},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6648790836334229},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.6494159698486328},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6381421089172363},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.6087039709091187},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.598088264465332},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5629675984382629},{"id":"https://openalex.org/C206352148","wikidata":"https://www.wikidata.org/wiki/Q209306","display_name":"Hyperbolic geometry","level":3,"score":0.5334275960922241},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5031322836875916},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5022997856140137},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.49572694301605225},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4933415949344635},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.4553662836551666},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40163716673851013},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.12584611773490906},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-004-1101-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-004-1101-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-004-1101-y.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/s00454-004-1101-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-004-1101-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-004-1101-y.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":[{"id":"https://openalex.org/F4320321994","display_name":"Hungarian Scientific Research Fund","ror":"https://ror.org/00v349e63"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1593302568.pdf","grobid_xml":"https://content.openalex.org/works/W1593302568.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W13495895","https://openalex.org/W197970504","https://openalex.org/W200511831","https://openalex.org/W1606681954","https://openalex.org/W1988742612","https://openalex.org/W2044826093","https://openalex.org/W2110431853","https://openalex.org/W2161530376","https://openalex.org/W2161660300"],"related_works":["https://openalex.org/W2187391117","https://openalex.org/W1981809986","https://openalex.org/W4211227406","https://openalex.org/W3002934918","https://openalex.org/W2912909874","https://openalex.org/W4288573727","https://openalex.org/W2768754015","https://openalex.org/W2981448761","https://openalex.org/W1517013712","https://openalex.org/W2098682668"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}