{"id":"https://openalex.org/W2123548047","doi":"https://doi.org/10.1142/s0218195901000444","title":"LABELING POINTS WITH CIRCLES","display_name":"LABELING POINTS WITH CIRCLES","publication_year":2001,"publication_date":"2001-04-01","ids":{"openalex":"https://openalex.org/W2123548047","doi":"https://doi.org/10.1142/s0218195901000444","mag":"2123548047"},"language":"en","primary_location":{"id":"doi:10.1142/s0218195901000444","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195901000444","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry &amp; Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://dspace.library.uu.nl/handle/1874/18965","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068539274","display_name":"Tycho Strijk","orcid":null},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"TYCHO STRIJK","raw_affiliation_strings":["Department of Computer Science, Utrecht University, The Netherlands","Department of Computer Science, Utrecht University, the Netherlands#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Utrecht University, The Netherlands","institution_ids":["https://openalex.org/I193662353"]},{"raw_affiliation_string":"Department of Computer Science, Utrecht University, the Netherlands#TAB#","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014138072","display_name":"Alexander Wolff","orcid":"https://orcid.org/0000-0001-5872-718X"},"institutions":[{"id":"https://openalex.org/I36522303","display_name":"Universit\u00e4t Greifswald","ror":"https://ror.org/00r1edq15","country_code":"DE","type":"education","lineage":["https://openalex.org/I36522303"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"ALEXANDER WOLFF","raw_affiliation_strings":["Institut f\u00fcr Mathematik und Informatik, Ernst-Moritz-Arndt-Universit\u00e4t Greifswald, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik und Informatik, Ernst-Moritz-Arndt-Universit\u00e4t Greifswald, Germany","institution_ids":["https://openalex.org/I36522303"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5068539274"],"corresponding_institution_ids":["https://openalex.org/I193662353"],"apc_list":null,"apc_paid":null,"fwci":3.2763,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.93007223,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"11","issue":"02","first_page":"181","last_page":"195"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.7676972150802612},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6663872003555298},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5508779883384705},{"id":"https://openalex.org/keywords/running-time","display_name":"Running time","score":0.5486026406288147},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.5237058401107788},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5001418590545654},{"id":"https://openalex.org/keywords/factor","display_name":"Factor (programming language)","score":0.4998302459716797},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4505961835384369},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.43931180238723755},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34195342659950256},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19162887334823608}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7676972150802612},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6663872003555298},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5508779883384705},{"id":"https://openalex.org/C3017489831","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Running time","level":2,"score":0.5486026406288147},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.5237058401107788},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5001418590545654},{"id":"https://openalex.org/C2781039887","wikidata":"https://www.wikidata.org/wiki/Q1391724","display_name":"Factor (programming language)","level":2,"score":0.4998302459716797},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4505961835384369},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.43931180238723755},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34195342659950256},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19162887334823608},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":10,"locations":[{"id":"doi:10.1142/s0218195901000444","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195901000444","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry &amp; Applications","raw_type":"journal-article"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/026ec81f-7fbc-44cf-ae34-05959ef5fb4f","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/026ec81f-7fbc-44cf-ae34-05959ef5fb4f","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Strijk, T & Wolff, A 2001, 'Labeling points with circles', International Journal of Computational Geometry and Applications, vol. 11, no. 2, pp. 181-195. https://doi.org/10.1142/S0218195901000444","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:646773","is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=646773","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0218-1959","raw_type":"Article / Letter to the editor"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.19.7260","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.19.7260","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://archive.cs.uu.nl/pub/RUU/CS/techreps/CS-1999/1999-24.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.35.3243","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.35.3243","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math-inf.uni-greifswald.de/map-labeling/papers/sw-lpc-00.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.52.2822","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.52.2822","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.inf.fu-berlin.de/pub/reports/tr-b-99-08.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.67.7700","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.67.7700","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://i11www.ira.uka.de/~awolff/pub/sw-lpc-01.pdf","raw_type":"text"},{"id":"pmh:oai:library.tue.nl:646773","is_oa":false,"landing_page_url":"http://repository.tue.nl/646773","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0218-1959","raw_type":"Article / Letter to the editor"},{"id":"pmh:tue:oai:pure.tue.nl:publications/026ec81f-7fbc-44cf-ae34-05959ef5fb4f","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/026ec81f-7fbc-44cf-ae34-05959ef5fb4f","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Computational Geometry and Applications, 11(2), 181 - 195. World Scientific","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:uu:oai:dspace.library.uu.nl:1874/18965","is_oa":true,"landing_page_url":"https://dspace.library.uu.nl/handle/1874/18965","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/other"}],"best_oa_location":{"id":"pmh:uu:oai:dspace.library.uu.nl:1874/18965","is_oa":true,"landing_page_url":"https://dspace.library.uu.nl/handle/1874/18965","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/other"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.75,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W21349157","https://openalex.org/W207813908","https://openalex.org/W1980797658","https://openalex.org/W2013451793","https://openalex.org/W2065967395","https://openalex.org/W2066577300","https://openalex.org/W2097931890","https://openalex.org/W2104936608","https://openalex.org/W2110282707","https://openalex.org/W2121601978","https://openalex.org/W2169753586"],"related_works":["https://openalex.org/W4377371889","https://openalex.org/W1759995226","https://openalex.org/W2962917430","https://openalex.org/W2113270940","https://openalex.org/W2028468530","https://openalex.org/W2521054645","https://openalex.org/W2887154986","https://openalex.org/W4389820491","https://openalex.org/W2018076478","https://openalex.org/W1903284337"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,79],"new":[3],"algorithm":[4,14,30,46],"for":[5,31],"labeling":[6],"points":[7],"with":[8],"circles":[9],"of":[10,26,54],"equal":[11],"size.":[12,20],"Our":[13],"tries":[15],"to":[16,38,72],"maximize":[17],"the":[18,23,27,42,48,62,74],"label":[19,76],"It":[21],"improves":[22],"approximation":[24],"factor":[25],"only":[28],"known":[29],"this":[32],"problem":[33,64],"by":[34],"more":[35],"than":[36],"50%":[37],"about":[39],"1/20.":[40],"At":[41],"same":[43],"time,":[44],"our":[45],"keeps":[47],"O(n":[49],"log":[50],"n)":[51],"time":[52],"bound":[53],"its":[55],"predecessor.":[56],"In":[57],"addition,":[58],"we":[59],"show":[60],"that":[61,68],"decision":[63],"is":[65,70],"NP-hard":[66,71],"and":[67],"it":[69],"approximate":[73],"maximum":[75],"size":[77],"beyond":[78],"certain":[80],"constant":[81],"factor.":[82]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
