{"id":"https://openalex.org/W2978614417","doi":"https://doi.org/10.1007/s00454-020-00242-8","title":"Packing Disks by Flipping and Flowing","display_name":"Packing Disks by Flipping and Flowing","publication_year":2020,"publication_date":"2020-09-14","ids":{"openalex":"https://openalex.org/W2978614417","doi":"https://doi.org/10.1007/s00454-020-00242-8","mag":"2978614417"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-020-00242-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-020-00242-8","pdf_url":null,"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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1910.02327","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043799032","display_name":"Robert Connelly","orcid":"https://orcid.org/0000-0003-3757-8124"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Robert Connelly","raw_affiliation_strings":["Department of Mathematics, Cornell University, Ithaca, USA","cornell University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Cornell University, Ithaca, USA","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"cornell University","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012875116","display_name":"Steven J. Gortler","orcid":null},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]},{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steven J. Gortler","raw_affiliation_strings":["School of Engineering and Applied Sciences, Harvard University, Cambridge, USA","Harvard University ,"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Applied Sciences, Harvard University, Cambridge, USA","institution_ids":["https://openalex.org/I136199984"]},{"raw_affiliation_string":"Harvard University ,","institution_ids":["https://openalex.org/I2801851002"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043799032"],"corresponding_institution_ids":["https://openalex.org/I205783295"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01339413,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"66","issue":"4","first_page":"1262","last_page":"1285"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9991000294685364,"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":0.9991000294685364,"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":0.9984999895095825,"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":0.9933000206947327,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/circle-packing","display_name":"Circle packing","score":0.77227783203125},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.6933285593986511},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6661596298217773},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.6164671182632446},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6134658455848694},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.5522798299789429},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5079577565193176},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5023438930511475},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4720916152000427},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.43835970759391785},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22853174805641174},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22810328006744385},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.0598815381526947}],"concepts":[{"id":"https://openalex.org/C123115066","wikidata":"https://www.wikidata.org/wiki/Q5121501","display_name":"Circle packing","level":2,"score":0.77227783203125},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.6933285593986511},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6661596298217773},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.6164671182632446},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6134658455848694},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5522798299789429},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5079577565193176},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5023438930511475},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4720916152000427},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.43835970759391785},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22853174805641174},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22810328006744385},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0598815381526947},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00454-020-00242-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-020-00242-8","pdf_url":null,"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"},{"id":"pmh:oai:arXiv.org:1910.02327","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.02327","pdf_url":"https://arxiv.org/pdf/1910.02327","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.1910.02327","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1910.02327","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"},{"id":"mag:2978614417","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1910.02327","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.02327","pdf_url":"https://arxiv.org/pdf/1910.02327","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3083071871","display_name":null,"funder_award_id":"DMS-1564473","funder_id":"https://openalex.org/F4320332172","funder_display_name":"Directorate for Mathematical and Physical Sciences"},{"id":"https://openalex.org/G8542674450","display_name":null,"funder_award_id":"DMS- 1564493","funder_id":"https://openalex.org/F4320332172","funder_display_name":"Directorate for Mathematical and Physical Sciences"}],"funders":[{"id":"https://openalex.org/F4320332172","display_name":"Directorate for Mathematical and Physical Sciences","ror":"https://ror.org/029b7h395"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W133608936","https://openalex.org/W194188155","https://openalex.org/W406819860","https://openalex.org/W1533061882","https://openalex.org/W1567166970","https://openalex.org/W1713700168","https://openalex.org/W1784898840","https://openalex.org/W1974039980","https://openalex.org/W1975434639","https://openalex.org/W1985270033","https://openalex.org/W2002701964","https://openalex.org/W2010786313","https://openalex.org/W2012017885","https://openalex.org/W2035925636","https://openalex.org/W2040020758","https://openalex.org/W2056939992","https://openalex.org/W2057382776","https://openalex.org/W2062848043","https://openalex.org/W2077000413","https://openalex.org/W2077265709","https://openalex.org/W2089645963","https://openalex.org/W2093752739","https://openalex.org/W2143075606","https://openalex.org/W2493681284","https://openalex.org/W2549267533","https://openalex.org/W2772465410","https://openalex.org/W2776879121","https://openalex.org/W2890180125","https://openalex.org/W2963744664","https://openalex.org/W2963925837","https://openalex.org/W2963945468","https://openalex.org/W2998601089","https://openalex.org/W4254306788"],"related_works":["https://openalex.org/W3085688245","https://openalex.org/W2182726087","https://openalex.org/W3089134820","https://openalex.org/W1528971596","https://openalex.org/W2888127729","https://openalex.org/W3103580614","https://openalex.org/W2768412236","https://openalex.org/W2923962568","https://openalex.org/W2049034137","https://openalex.org/W2013923843","https://openalex.org/W44213581","https://openalex.org/W2487729950","https://openalex.org/W2295739338","https://openalex.org/W50536168","https://openalex.org/W2951628108","https://openalex.org/W170254964","https://openalex.org/W2070310809","https://openalex.org/W1584418138","https://openalex.org/W2963015257","https://openalex.org/W926003117"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}