{"id":"https://openalex.org/W2990353831","doi":"https://doi.org/10.1007/s10898-022-01199-z","title":"On maximum-sum matchings of points","display_name":"On maximum-sum matchings of points","publication_year":2022,"publication_date":"2022-06-21","ids":{"openalex":"https://openalex.org/W2990353831","doi":"https://doi.org/10.1007/s10898-022-01199-z","mag":"2990353831"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-022-01199-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10898-022-01199-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10898-022-01199-z.pdf","source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10898-022-01199-z.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035977878","display_name":"Sergey Bereg","orcid":"https://orcid.org/0000-0002-2866-6766"},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sergey Bereg","raw_affiliation_strings":["University of Texas at Dallas, 800 West Campbell Road, Richardson, Texas 75080, USA"],"affiliations":[{"raw_affiliation_string":"University of Texas at Dallas, 800 West Campbell Road, Richardson, Texas 75080, USA","institution_ids":["https://openalex.org/I162577319"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001881874","display_name":"Oscar Chac\u00f3n-Rivera","orcid":"https://orcid.org/0000-0003-1189-7135"},"institutions":[{"id":"https://openalex.org/I10457146","display_name":"Universidad de Santiago de Chile","ror":"https://ror.org/02ma57s91","country_code":"CL","type":"education","lineage":["https://openalex.org/I10457146"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Oscar P. Chac\u00f3n-Rivera","raw_affiliation_strings":["Facultad de Ciencia, Departamento de Matem\u00e1tica y Ciencia de la Computaci\u00f3n, Universidad de Santiago de Chile (USACH), Las Sophoras n\u00b0 173, Santiago, Chile"],"affiliations":[{"raw_affiliation_string":"Facultad de Ciencia, Departamento de Matem\u00e1tica y Ciencia de la Computaci\u00f3n, Universidad de Santiago de Chile (USACH), Las Sophoras n\u00b0 173, Santiago, Chile","institution_ids":["https://openalex.org/I10457146"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028870285","display_name":"David Flores\u2010Pe\u00f1aloza","orcid":"https://orcid.org/0000-0002-5411-3049"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"David Flores-Pe\u00f1aloza","raw_affiliation_strings":["Facultad de Ciencias, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Av. Universidad 3000, Circuito Exterior s/n, Alcald\u00eda Coyoac\u00e1n, CP 04510, Ciudad Universitaria, Ciudad de M\u00e9xico, M\u00e9xico"],"affiliations":[{"raw_affiliation_string":"Facultad de Ciencias, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Av. Universidad 3000, Circuito Exterior s/n, Alcald\u00eda Coyoac\u00e1n, CP 04510, Ciudad Universitaria, Ciudad de M\u00e9xico, M\u00e9xico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032873622","display_name":"Clemens Huemer","orcid":"https://orcid.org/0000-0001-7557-0823"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Clemens Huemer","raw_affiliation_strings":["Departament de Matem\u00e0tiques, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tiques, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082230826","display_name":"Pablo P\u00e9rez-Lantero","orcid":"https://orcid.org/0000-0002-8703-8970"},"institutions":[{"id":"https://openalex.org/I10457146","display_name":"Universidad de Santiago de Chile","ror":"https://ror.org/02ma57s91","country_code":"CL","type":"education","lineage":["https://openalex.org/I10457146"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Pablo P\u00e9rez-Lantero","raw_affiliation_strings":["Facultad de Ciencia, Departamento de Matem\u00e1tica y Ciencia de la Computaci\u00f3n, Universidad de Santiago de Chile (USACH), Las Sophoras n\u00b0 173, Santiago, Chile"],"affiliations":[{"raw_affiliation_string":"Facultad de Ciencia, Departamento de Matem\u00e1tica y Ciencia de la Computaci\u00f3n, Universidad de Santiago de Chile (USACH), Las Sophoras n\u00b0 173, Santiago, Chile","institution_ids":["https://openalex.org/I10457146"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062044790","display_name":"Carlos Seara","orcid":"https://orcid.org/0000-0002-0095-1725"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Carlos Seara","raw_affiliation_strings":["Departament de Matem\u00e0tiques, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tiques, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5035977878"],"corresponding_institution_ids":["https://openalex.org/I162577319"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":{"value":2190,"currency":"EUR","value_usd":2780},"fwci":3.3045,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.94524496,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"85","issue":"1","first_page":"111","last_page":"128"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998000264167786,"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":0.9998000264167786,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9876999855041504,"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"}},{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9765999913215637,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5202459096908569},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.512736439704895},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41292521357536316},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34525078535079956},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1869882047176361}],"concepts":[{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5202459096908569},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.512736439704895},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41292521357536316},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34525078535079956},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1869882047176361}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10898-022-01199-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10898-022-01199-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10898-022-01199-z.pdf","source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jglopt:v:85:y:2023:i:1:d:10.1007_s10898-022-01199-z","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-022-01199-z","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:upcommons.upc.edu:2117/361256","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/361256","pdf_url":null,"source":{"id":"https://openalex.org/S4210207057","display_name":"QRU Quaderns de Recerca en Urbanisme","issn_l":"2014-9689","issn":["2014-9689","2385-6777"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310322448","host_organization_name":"Q71272178","host_organization_lineage":["https://openalex.org/P4310322448"],"host_organization_lineage_names":["Q71272178"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:upcommons.upc.edu:2117/365196","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/365196","pdf_url":null,"source":{"id":"https://openalex.org/S4210207057","display_name":"QRU Quaderns de Recerca en Urbanisme","issn_l":"2014-9689","issn":["2014-9689","2385-6777"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310322448","host_organization_name":"Q71272178","host_organization_lineage":["https://openalex.org/P4310322448"],"host_organization_lineage_names":["Q71272178"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:upcommons.upc.edu:2117/385176","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/385176","pdf_url":null,"source":{"id":"https://openalex.org/S4210207057","display_name":"QRU Quaderns de Recerca en Urbanisme","issn_l":"2014-9689","issn":["2014-9689","2385-6777"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310322448","host_organization_name":"Q71272178","host_organization_lineage":["https://openalex.org/P4310322448"],"host_organization_lineage_names":["Q71272178"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1007/s10898-022-01199-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10898-022-01199-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10898-022-01199-z.pdf","source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1166432654","display_name":null,"funder_award_id":"AEI/ 10.13039/501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G1419670400","display_name":null,"funder_award_id":"GB-I00","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G1650125035","display_name":null,"funder_award_id":"B-I00","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G1974542962","display_name":null,"funder_award_id":"Sk\u0142odowska","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G2105424158","display_name":null,"funder_award_id":"MCIN/ AEI/ 10","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G2262748287","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G2309174360","display_name":null,"funder_award_id":"10.13039","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G2471266296","display_name":null,"funder_award_id":"CCF-1718994","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2601397997","display_name":null,"funder_award_id":"10.13039/501100011033","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G2689612763","display_name":null,"funder_award_id":"Marie","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G300979063","display_name":null,"funder_award_id":"10.13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3033136723","display_name":null,"funder_award_id":"MCIN/ AEI/ 10.13039/501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G3249603857","display_name":null,"funder_award_id":"DICYT","funder_id":"https://openalex.org/F4320309589","funder_display_name":"Universidad de Santiago de Chile"},{"id":"https://openalex.org/G3412273058","display_name":null,"funder_award_id":"AEI/ 10.13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3480869486","display_name":null,"funder_award_id":"13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3481927374","display_name":null,"funder_award_id":"PID2019-104129GB-I0","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G3681454997","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3690828678","display_name":null,"funder_award_id":"PID2019","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G4042783231","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4126322094","display_name":null,"funder_award_id":"01100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G4466795206","display_name":null,"funder_award_id":"PID2019-104129GB-I00","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G4656407423","display_name":null,"funder_award_id":"MCIN/ AEI","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G4956428346","display_name":null,"funder_award_id":"Horizon 2020 research and innovatio","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5036817778","display_name":null,"funder_award_id":"European Union's Horizon 2020 research and innov","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5067542625","display_name":null,"funder_award_id":"041933PL","funder_id":"https://openalex.org/F4320334819","funder_display_name":"Departamento de Investigaciones Cient\u00edficas y Tecnol\u00f3gicas, Universidad de Santiago de Chile"},{"id":"https://openalex.org/G5080475149","display_name":null,"funder_award_id":"10.13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G5127071731","display_name":"AF: Small: Topological Approximation Techniques in Computational Geometry","funder_award_id":"1718994","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5421974903","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G6347847539","display_name":null,"funder_award_id":"734922","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G661330594","display_name":null,"funder_award_id":"00110","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G6685425346","display_name":null,"funder_award_id":"0011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G6769299354","display_name":null,"funder_award_id":"PID2019-104129GB-I00","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G6910048850","display_name":"Marine microalgae-based functional foods and food supplements for the prevention of chronic diseases","funder_award_id":"718994","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7266728691","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7643708868","display_name":null,"funder_award_id":"10.13039/501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G8055432103","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G8156015469","display_name":null,"funder_award_id":"2020-2024","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8216763828","display_name":null,"funder_award_id":"734922","funder_id":"https://openalex.org/F4320335254","funder_display_name":"Horizon 2020"},{"id":"https://openalex.org/G8232123301","display_name":null,"funder_award_id":"DICYT 041933PL","funder_id":"https://openalex.org/F4320309589","funder_display_name":"Universidad de Santiago de Chile"},{"id":"https://openalex.org/G8260616629","display_name":null,"funder_award_id":"011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8318064016","display_name":null,"funder_award_id":"Horizon","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8352492595","display_name":null,"funder_award_id":"0.13039/501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G8633428685","display_name":null,"funder_award_id":"European Union's Horizon 2020 research and innovat","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8638682022","display_name":null,"funder_award_id":"10.13039/50110001103","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8684520763","display_name":null,"funder_award_id":"PID2019","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320309589","display_name":"Universidad de Santiago de Chile","ror":"https://ror.org/02ma57s91"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320334819","display_name":"Departamento de Investigaciones Cient\u00edficas y Tecnol\u00f3gicas, Universidad de Santiago de Chile","ror":"https://ror.org/02ma57s91"},{"id":"https://openalex.org/F4320335254","display_name":"Horizon 2020","ror":null},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2990353831.pdf","grobid_xml":"https://content.openalex.org/works/W2990353831.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W406819860","https://openalex.org/W1530429524","https://openalex.org/W1698175267","https://openalex.org/W1763364262","https://openalex.org/W1975656597","https://openalex.org/W1990729778","https://openalex.org/W2068811470","https://openalex.org/W2086526821","https://openalex.org/W2122986136","https://openalex.org/W2152203458","https://openalex.org/W2209009633","https://openalex.org/W2340279101","https://openalex.org/W2784250110","https://openalex.org/W2809169079","https://openalex.org/W2904743400","https://openalex.org/W2932180776","https://openalex.org/W2952156165","https://openalex.org/W3003884764","https://openalex.org/W3205921174","https://openalex.org/W4294651638"],"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/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"Abstract":[0],"Huemer":[1],"et":[2],"al.":[3],"(Discrete":[4],"Mathematics,":[5],"2019)":[6],"proved":[7],"that":[8,35,59,103,121,130,187],"for":[9,134,158],"any":[10],"two":[11],"point":[12],"sets":[13,159],"R":[14,39,135],"and":[15,45,86,106,136],"B":[16,43,137],"with":[17,40],"$$|R|=|B|$$":[18],"<mml:math":[19,78,89],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[20,79,90],"<mml:mrow>":[21,80,91],"<mml:mo>|</mml:mo>":[22,24,26,28],"<mml:mi>R</mml:mi>":[23,83],"<mml:mo>=</mml:mo>":[25],"<mml:mi>B</mml:mi>":[27,94],"</mml:mrow>":[29,84,95],"</mml:math>":[30,85,96],",":[31,44],"the":[32,47,53,57,61,65,98,118,123,142,147,152,166,176,182,194],"perfect":[33,119],"matching":[34,66,120,133,157,170,195],"matches":[36],"points":[37,41,75,164,177],"of":[38,42,52,73,100,146,154,160,175,193],"maximizes":[46,122],"total":[48,124],"squared":[49],"Euclidean":[50,125],"distance":[51],"matched":[54,74],"pairs,":[55],"has":[56],"property":[58,145],"all":[60,191],"disks":[62,192],"induced":[63],"by":[64],"have":[67,197],"a":[68,169,173,198],"common":[69,143,199],"point.":[70,200],"Each":[71],"pair":[72],"$$p\\in":[76],"R$$":[77],"<mml:mi>p</mml:mi>":[81],"<mml:mo>\u2208</mml:mo>":[82,93],"$$q\\in":[87],"B$$":[88],"<mml:mi>q</mml:mi>":[92],"induces":[97],"disk":[99],"smallest":[101],"diameter":[102],"covers":[104],"p":[105],"q":[107],".":[108],"Following":[109],"this":[110,114,131,155,189],"research":[111],"line,":[112],"in":[113,165,188],"paper":[115],"we":[116,128,150,185],"consider":[117],"distance.":[126],"First,":[127],"prove":[129,186],"new":[132,156],"does":[138],"not":[139],"always":[140],"ensure":[141],"intersection":[144],"disks.":[148],"Second,":[149],"extend":[151],"study":[153],"2":[161],"n":[162,179],"uncolored":[163],"plane,":[167],"where":[168],"is":[171],"just":[172],"partition":[174],"into":[178],"pairs.":[180],"As":[181],"main":[183],"result,":[184],"case":[190],"do":[196]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}
