{"id":"https://openalex.org/W3007055675","doi":"https://doi.org/10.1587/transinf.2019fcp0005","title":"An Approximation Algorithm for the 2-Dispersion Problem","display_name":"An Approximation Algorithm for the 2-Dispersion Problem","publication_year":2020,"publication_date":"2020-02-29","ids":{"openalex":"https://openalex.org/W3007055675","doi":"https://doi.org/10.1587/transinf.2019fcp0005","mag":"3007055675"},"language":"en","primary_location":{"id":"doi:10.1587/transinf.2019fcp0005","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transinf.2019fcp0005","pdf_url":"https://www.jstage.jst.go.jp/article/transinf/E103.D/3/E103.D_2019FCP0005/_pdf","source":{"id":"https://openalex.org/S2486202937","display_name":"IEICE Transactions on Information and Systems","issn_l":"0916-8532","issn":["0916-8532","1745-1361"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Information and Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.jstage.jst.go.jp/article/transinf/E103.D/3/E103.D_2019FCP0005/_pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050504059","display_name":"Kazuyuki Amano","orcid":"https://orcid.org/0000-0003-2322-6072"},"institutions":[{"id":"https://openalex.org/I165735259","display_name":"Gunma University","ror":"https://ror.org/046fm7598","country_code":"JP","type":"education","lineage":["https://openalex.org/I165735259"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kazuyuki AMANO","raw_affiliation_strings":["Gunma University"],"affiliations":[{"raw_affiliation_string":"Gunma University","institution_ids":["https://openalex.org/I165735259"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014607132","display_name":"Shin-ichi Nakano","orcid":"https://orcid.org/0000-0003-2368-6183"},"institutions":[{"id":"https://openalex.org/I165735259","display_name":"Gunma University","ror":"https://ror.org/046fm7598","country_code":"JP","type":"education","lineage":["https://openalex.org/I165735259"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shin-ichi NAKANO","raw_affiliation_strings":["Gunma University"],"affiliations":[{"raw_affiliation_string":"Gunma University","institution_ids":["https://openalex.org/I165735259"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5050504059"],"corresponding_institution_ids":["https://openalex.org/I165735259"],"apc_list":null,"apc_paid":null,"fwci":2.1725,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.89328964,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"E103.D","issue":"3","first_page":"506","last_page":"508"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9990000128746033,"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":0.9990000128746033,"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/T11502","display_name":"Facility Location and Emergency Management","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9781000018119812,"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/combinatorics","display_name":"Combinatorics","score":0.7522422671318054},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6211487054824829},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5857633352279663},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.559180498123169},{"id":"https://openalex.org/keywords/dispersion","display_name":"Dispersion (optics)","score":0.5443065762519836},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5350445508956909},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5125000476837158},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.4935687780380249},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4849717617034912},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45619067549705505},{"id":"https://openalex.org/keywords/k-nearest-neighbors-algorithm","display_name":"k-nearest neighbors algorithm","score":0.4352668523788452},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36315709352493286},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.29602208733558655},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20240098237991333},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18452560901641846},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.11860489845275879},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10185042023658752}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7522422671318054},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6211487054824829},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5857633352279663},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.559180498123169},{"id":"https://openalex.org/C177562468","wikidata":"https://www.wikidata.org/wiki/Q182893","display_name":"Dispersion (optics)","level":2,"score":0.5443065762519836},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5350445508956909},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5125000476837158},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.4935687780380249},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4849717617034912},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45619067549705505},{"id":"https://openalex.org/C113238511","wikidata":"https://www.wikidata.org/wiki/Q1071612","display_name":"k-nearest neighbors algorithm","level":2,"score":0.4352668523788452},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36315709352493286},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.29602208733558655},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20240098237991333},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18452560901641846},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.11860489845275879},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10185042023658752},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1587/transinf.2019fcp0005","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transinf.2019fcp0005","pdf_url":"https://www.jstage.jst.go.jp/article/transinf/E103.D/3/E103.D_2019FCP0005/_pdf","source":{"id":"https://openalex.org/S2486202937","display_name":"IEICE Transactions on Information and Systems","issn_l":"0916-8532","issn":["0916-8532","1745-1361"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Information and Systems","raw_type":"journal-article"},{"id":"mag:2916578053","is_oa":false,"landing_page_url":"https://www.ieice.org/ken/paper/2018102671g3/eng/","pdf_url":null,"source":{"id":"https://openalex.org/S4306512848","display_name":"IEICE Technical Report; IEICE Tech. Rep.","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"IEICE Technical Report; IEICE Tech. Rep.","raw_type":null}],"best_oa_location":{"id":"doi:10.1587/transinf.2019fcp0005","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transinf.2019fcp0005","pdf_url":"https://www.jstage.jst.go.jp/article/transinf/E103.D/3/E103.D_2019FCP0005/_pdf","source":{"id":"https://openalex.org/S2486202937","display_name":"IEICE Transactions on Information and Systems","issn_l":"0916-8532","issn":["0916-8532","1745-1361"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Information and Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3007055675.pdf","grobid_xml":"https://content.openalex.org/works/W3007055675.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1965734368","https://openalex.org/W1968609173","https://openalex.org/W1975512711","https://openalex.org/W1990605847","https://openalex.org/W2001554016","https://openalex.org/W2038183279","https://openalex.org/W2126787883","https://openalex.org/W2144641765","https://openalex.org/W2508337090","https://openalex.org/W4234689394"],"related_works":["https://openalex.org/W2052299349","https://openalex.org/W2785302227","https://openalex.org/W1901944325","https://openalex.org/W4297728441","https://openalex.org/W2187824534","https://openalex.org/W2148720069","https://openalex.org/W2046803187","https://openalex.org/W2794524342","https://openalex.org/W2999797892","https://openalex.org/W4324106119"],"abstract_inverted_index":{"Let":[0],"P":[1,34,85,94,111],"be":[2,13],"a":[3,17,26,30,92,120],"set":[4,93],"of":[5,19,44,53,82,95,110],"points":[6,20,97],"on":[7],"the":[8,14,37,51,55,60,67,72,126],"plane,":[9],"and":[10,29,65,98],"d(p,":[11],"q)":[12],"distance":[15,56,68],"between":[16],"pair":[18],"p,":[21],"q":[22],"in":[23,63,76],"P.":[24],"For":[25],"point":[27,62,75,107],"p\u2208P":[28],"subset":[31,108],"S":[32,49,83,109],"\u2282":[33,84],"with":[35,46,86,112],"|S|\u22653,":[36],"2-dispersion":[38,79],"cost,":[39],"denoted":[40],"by":[41],"cost2(p,":[42],"S),":[43],"p":[45,58,70],"respect":[47],"to":[48,59,71,104],"is":[50,88],"sum":[52],"(1)":[54],"from":[57,69],"nearest":[61,74],"S\\setminus{p}":[64],"(2)":[66],"second":[73],"S\\setminus{p}.":[77],"The":[78],"cost":[80],"cost2(S)":[81],"|S|\u22653":[87],"minp\u2208S{cost2(p,":[89],"S)}.":[90],"Given":[91],"n":[96],"an":[99],"integer":[100],"k":[101,106],"we":[102,118],"wish":[103],"compute":[105],"maximum":[113],"cost2(S).":[114],"In":[115],"this":[116],"paper":[117],"give":[119],"simple":[121],"1/({4\\sqrt{3}})":[122],"approximation":[123],"algorithm":[124],"for":[125],"problem.":[127]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}