{"id":"https://openalex.org/W4392452269","doi":"https://doi.org/10.1007/978-3-031-55598-5_6","title":"Computing Largest Minimum Color-Spanning Intervals of Imprecise Points","display_name":"Computing Largest Minimum Color-Spanning Intervals of Imprecise Points","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4392452269","doi":"https://doi.org/10.1007/978-3-031-55598-5_6"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-55598-5_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-55598-5_6","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/s00224-026-10270-1","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042267359","display_name":"Ankush Acharyya","orcid":"https://orcid.org/0000-0001-5432-7568"},"institutions":[{"id":"https://openalex.org/I155837530","display_name":"National Institute of Technology Durgapur","ror":"https://ror.org/04ds0jm32","country_code":"IN","type":"education","lineage":["https://openalex.org/I155837530"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Ankush Acharyya","raw_affiliation_strings":["Department of Computer Science and Engineering, National Institute of Technology, Durgapur, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, National Institute of Technology, Durgapur, India","institution_ids":["https://openalex.org/I155837530"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004412541","display_name":"Vahideh Keikha","orcid":"https://orcid.org/0000-0003-2821-5903"},"institutions":[{"id":"https://openalex.org/I202391551","display_name":"Czech Academy of Sciences","ror":"https://ror.org/053avzc18","country_code":"CZ","type":"government","lineage":["https://openalex.org/I202391551"]},{"id":"https://openalex.org/I4210155092","display_name":"Czech Academy of Sciences, Institute of Computer Science","ror":"https://ror.org/0496n6574","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210155092"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Vahideh Keikha","raw_affiliation_strings":["Institute of Computer Science, The Czech Academy of Sciences, Prague, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, The Czech Academy of Sciences, Prague, Czech Republic","institution_ids":["https://openalex.org/I4210155092","https://openalex.org/I202391551"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047854337","display_name":"Maria Saumell","orcid":"https://orcid.org/0000-0002-4704-2609"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Maria Saumell","raw_affiliation_strings":["Department of Theoretical Computer Science, Faculty of Information Technology, Czech Technical University in Prague, Prague, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Theoretical Computer Science, Faculty of Information Technology, Czech Technical University in Prague, Prague, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074443763","display_name":"Rodrigo I. Silveira","orcid":"https://orcid.org/0000-0003-0202-4543"},"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":"Rodrigo I. Silveira","raw_affiliation_strings":["Department de Matem\u00e0tiques, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department de Matem\u00e0tiques, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5042267359"],"corresponding_institution_ids":["https://openalex.org/I155837530"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05071885,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"70","issue":"2","first_page":"81","last_page":"96"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9959999918937683,"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":0.9959999918937683,"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/T11106","display_name":"Data Management and Algorithms","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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":0.9901999831199646,"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/computer-science","display_name":"Computer science","score":0.8114979267120361},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3288307785987854}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8114979267120361},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3288307785987854}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-031-55598-5_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-55598-5_6","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"doi:10.1007/s00224-026-10270-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00224-026-10270-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"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":"Theory of Computing Systems","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2410.03213","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2410.03213","pdf_url":"https://arxiv.org/pdf/2410.03213","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:upcommons.upc.edu:2117/450507","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2410.03213","pdf_url":"https://upcommons.upc.edu/bitstreams/ec831f3f-2819-4c59-9bc2-6598fe93409b/download","source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Conference report"}],"best_oa_location":{"id":"doi:10.1007/s00224-026-10270-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00224-026-10270-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"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":"Theory of Computing Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"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/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/G5890185003","display_name":null,"funder_award_id":"67985807","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"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/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/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/F4320309972","display_name":"\u010cesk\u00e9 Vysok\u00e9 U\u010den\u00ed Technick\u00e9 v Praze","ror":"https://ror.org/03kqpb082"},{"id":"https://openalex.org/F4320320719","display_name":"Department of Science and Technology, Ministry of Science and Technology, India","ror":"https://ror.org/0101xrq71"},{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"},{"id":"https://openalex.org/F4320334771","display_name":"Science and Engineering Research Board","ror":"https://ror.org/03ffdsr55"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1500274311","https://openalex.org/W1981114840","https://openalex.org/W1998397869","https://openalex.org/W2007553965","https://openalex.org/W2054933178","https://openalex.org/W2105946172","https://openalex.org/W2156214851","https://openalex.org/W2503124104","https://openalex.org/W2783443149","https://openalex.org/W4220722885","https://openalex.org/W4285809218"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W4391913857","https://openalex.org/W2350741829","https://openalex.org/W2530322880"],"abstract_inverted_index":{"Abstract":[0],"We":[1,69],"study":[2],"a":[3,29,63,154,163],"geometric":[4],"facility":[5],"location":[6],"problem":[7,80,100],"under":[8],"imprecision.":[9],"Given":[10],"n":[11,87],"unit":[12],"segments":[13,75,92],"on":[14,31],"the":[15,24,36,73,79,99,167,171],"real":[16],"line,":[17],"each":[18,32,67],"with":[19,153,166],"one":[20,60],"of":[21,53,66,93,149,156,170],"k":[22],"colors,":[23],"goal":[25],"is":[26,41,50],"to":[27,175],"place":[28],"point":[30,61],"segment":[33,65],"such":[34],"that":[35,56,71,108],"resulting":[37],"minimum":[38,47,54],"color-spanning":[39,48],"interval":[40,49,52],"as":[42,44],"large":[43],"possible.":[45],"A":[46],"an":[51],"size":[55],"contains":[57],"at":[58],"least":[59],"from":[62],"given":[64],"color.":[68],"prove":[70],"if":[72],"input":[74],"are":[76],"pairwise":[77],"disjoint,":[78],"can":[81,110],"be":[82,111,176],"solved":[83,112],"in":[84,113],"O":[85],"(":[86],")":[88],"time,":[89],"even":[90],"for":[91],"arbitrary":[94],"length.":[95],"For":[96],"overlapping":[97],"segments,":[98],"becomes":[101],"much":[102],"more":[103],"difficult.":[104],"Nevertheless,":[105],"we":[106],"show":[107],"it":[109],"$$O(n":[114],"\\log":[115],"^2":[116],"n)$$":[117],"<mml:math":[118,135],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[119,136],"<mml:mrow>":[120,137],"<mml:mi>O</mml:mi>":[121],"<mml:mo>(</mml:mo>":[122],"<mml:mi>n</mml:mi>":[123,128],"<mml:msup>":[124],"<mml:mo>log</mml:mo>":[125],"<mml:mn>2</mml:mn>":[126,140],"</mml:msup>":[127],"<mml:mo>)</mml:mo>":[129],"</mml:mrow>":[130,141],"</mml:math>":[131,142],"time":[132],"when":[133],"$$k=2$$":[134],"<mml:mi>k</mml:mi>":[138],"<mml:mo>=</mml:mo>":[139],",":[143],"by":[144],"exploiting":[145],"several":[146],"structural":[147],"properties":[148],"candidate":[150],"solutions,":[151],"combined":[152],"number":[155],"advanced":[157],"algorithmic":[158],"techniques.":[159],"Interestingly,":[160],"this":[161],"shows":[162],"sharp":[164],"contrast":[165],"2-dimensional":[168],"version":[169],"problem,":[172],"recently":[173],"shown":[174],"NP-hard.":[177]},"counts_by_year":[],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}