{"id":"https://openalex.org/W3088842305","doi":"https://doi.org/10.1007/s00493-020-4633-8","title":"Computing the Covering Radius of a Polytope with an Application to Lonely Runners","display_name":"Computing the Covering Radius of a Polytope with an Application to Lonely Runners","publication_year":2022,"publication_date":"2022-02-18","ids":{"openalex":"https://openalex.org/W3088842305","doi":"https://doi.org/10.1007/s00493-020-4633-8","mag":"3088842305"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-020-4633-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-020-4633-8","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2009.12080","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023698210","display_name":"Jana Cslovjecsek","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Jana Cslovjecsek","raw_affiliation_strings":["Institute for Mathematics, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematics, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022297318","display_name":"Romanos Diogenes Malikiosis","orcid":"https://orcid.org/0000-0001-6530-437X"},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Romanos Diogenes Malikiosis","raw_affiliation_strings":["Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, Greece","institution_ids":["https://openalex.org/I21370196"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075034685","display_name":"M\u00e1rton Nasz\u00f3di","orcid":"https://orcid.org/0000-0002-4194-0205"},"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"]},{"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":false,"raw_author_name":"M\u00e1rton Nasz\u00f3di","raw_affiliation_strings":["Alfr\u00e9d R\u00e9nyi Institute of Mathematics MTA-ELTE Lend\u00fclet, Combinatorial Geometry Research Group, Budapest, Hungary","Department of Geometry, Lor\u00e1nd E\u00f6tv\u00f6s University, Budapest, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics MTA-ELTE Lend\u00fclet, Combinatorial Geometry Research Group, Budapest, Hungary","institution_ids":["https://openalex.org/I106118109","https://openalex.org/I127817813"]},{"raw_affiliation_string":"Department of Geometry, Lor\u00e1nd E\u00f6tv\u00f6s University, Budapest, Hungary","institution_ids":["https://openalex.org/I106118109"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046794269","display_name":"Matthias Schymura","orcid":"https://orcid.org/0000-0001-5156-7953"},"institutions":[{"id":"https://openalex.org/I51783024","display_name":"Brandenburg University of Technology Cottbus-Senftenberg","ror":"https://ror.org/02wxx3e24","country_code":"DE","type":"education","lineage":["https://openalex.org/I51783024"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Matthias Schymura","raw_affiliation_strings":["Institut f\u00fcr Mathematik, BTU Cottbus-Senftenberg, Platz der Deutschen Einheit 1, D-03046, Cottbus, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, BTU Cottbus-Senftenberg, Platz der Deutschen Einheit 1, D-03046, Cottbus, Germany","institution_ids":["https://openalex.org/I51783024"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5046794269"],"corresponding_institution_ids":["https://openalex.org/I51783024"],"apc_list":null,"apc_paid":null,"fwci":0.6567,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.7339221,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"42","issue":"4","first_page":"463","last_page":"490"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9980000257492065,"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":0.9980000257492065,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T12176","display_name":"Optimization and Packing Problems","score":0.9620000123977661,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/polytope","display_name":"Polytope","score":0.8261202573776245},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8163458108901978},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6987124681472778},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6816959381103516},{"id":"https://openalex.org/keywords/dilation","display_name":"Dilation (metric space)","score":0.45128968358039856},{"id":"https://openalex.org/keywords/birkhoff-polytope","display_name":"Birkhoff polytope","score":0.4218074083328247},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35254937410354614},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1766178011894226},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.0978999137878418}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.8261202573776245},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8163458108901978},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6987124681472778},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6816959381103516},{"id":"https://openalex.org/C2780757906","wikidata":"https://www.wikidata.org/wiki/Q5276676","display_name":"Dilation (metric space)","level":2,"score":0.45128968358039856},{"id":"https://openalex.org/C206304794","wikidata":"https://www.wikidata.org/wiki/Q4916482","display_name":"Birkhoff polytope","level":5,"score":0.4218074083328247},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35254937410354614},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1766178011894226},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.0978999137878418},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.0},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00493-020-4633-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-020-4633-8","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"},{"id":"pmh:oai:real.mtak.hu:152905","is_oa":false,"landing_page_url":"http://real.mtak.hu/152905/1/2009.12080.pdf","pdf_url":"http://real.mtak.hu/152905/1/2009.12080.pdf","source":{"id":"https://openalex.org/S4306400081","display_name":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210140733","host_organization_name":"Library and Information Centre of the Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I4210140733"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:arXiv.org:2009.12080","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2009.12080","pdf_url":"https://arxiv.org/pdf/2009.12080","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:292776","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/292776","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"host_organization_lineage_names":[],"type":"repository"},"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":"http://infoscience.epfl.ch/record/292776","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2009.12080","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2009.12080","pdf_url":"https://arxiv.org/pdf/2009.12080","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.49000000953674316}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1499237070","https://openalex.org/W1644898224","https://openalex.org/W1970330685","https://openalex.org/W1977146361","https://openalex.org/W2012423427","https://openalex.org/W2013992130","https://openalex.org/W2021456519","https://openalex.org/W2030141596","https://openalex.org/W2051176401","https://openalex.org/W2059475730","https://openalex.org/W2077242588","https://openalex.org/W2090032031","https://openalex.org/W2092017668","https://openalex.org/W2114616381","https://openalex.org/W2137652538","https://openalex.org/W2147664666","https://openalex.org/W2157274017","https://openalex.org/W2170629083","https://openalex.org/W2334989808","https://openalex.org/W2408315416","https://openalex.org/W2517800354","https://openalex.org/W2626020844","https://openalex.org/W2784686296","https://openalex.org/W2806837888","https://openalex.org/W2888723609","https://openalex.org/W2996556906","https://openalex.org/W3013980823","https://openalex.org/W3102699240","https://openalex.org/W3105921057","https://openalex.org/W3212349535","https://openalex.org/W4205948657","https://openalex.org/W4235381922","https://openalex.org/W4251936773"],"related_works":["https://openalex.org/W2953076628","https://openalex.org/W2085110259","https://openalex.org/W1834000522","https://openalex.org/W2963837916","https://openalex.org/W2949863507","https://openalex.org/W2773485609","https://openalex.org/W4297969877","https://openalex.org/W1854884900","https://openalex.org/W2953291927","https://openalex.org/W4287661028"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-08-13T07:04:57.449891","created_date":"2025-10-10T00:00:00"}