{"id":"https://openalex.org/W1592690243","doi":"https://doi.org/10.3233/fi-2010-251","title":"Separating Multi-Color Points on a Plane with Fewest Axis-Parallel Lines","display_name":"Separating Multi-Color Points on a Plane with Fewest Axis-Parallel Lines","publication_year":2010,"publication_date":"2010-04-01","ids":{"openalex":"https://openalex.org/W1592690243","doi":"https://doi.org/10.3233/fi-2010-251","mag":"1592690243"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2010-251","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2010-251","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033411778","display_name":"Subhashis Majumder","orcid":"https://orcid.org/0000-0002-0849-9016"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Subhashis Majumder","raw_affiliation_strings":["Department of Computer Science and Engineering\r\t\t\t Heritage Institute of Technology Kolkata 700 107, India.\r\t\t\t E-mail: subhashis.majumder@heritageit.edu"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering\r\t\t\t Heritage Institute of Technology Kolkata 700 107, India.\r\t\t\t E-mail: subhashis.majumder@heritageit.edu","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032341988","display_name":"Subhas C. Nandy","orcid":"https://orcid.org/0000-0003-0330-2891"},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Subhas C. Nandy","raw_affiliation_strings":["ACM Unit Indian Statistical Institute Kolkata 700 108,\r\t\t\t India. E-mail: {nandysc,bhargab}@isical.ac.in"],"affiliations":[{"raw_affiliation_string":"ACM Unit Indian Statistical Institute Kolkata 700 108,\r\t\t\t India. E-mail: {nandysc,bhargab}@isical.ac.in","institution_ids":["https://openalex.org/I6498739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067730042","display_name":"Bhargab B. Bhattacharya","orcid":"https://orcid.org/0000-0002-5890-2483"},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Bhargab B. Bhattacharya","raw_affiliation_strings":["ACM Unit Indian Statistical Institute Kolkata 700 108,\r\t\t\t India. E-mail: {nandysc,bhargab}@isical.ac.in"],"affiliations":[{"raw_affiliation_string":"ACM Unit Indian Statistical Institute Kolkata 700 108,\r\t\t\t India. E-mail: {nandysc,bhargab}@isical.ac.in","institution_ids":["https://openalex.org/I6498739"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033411778"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3187,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.55272871,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"99","issue":"3","first_page":"315","last_page":"324"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9987999796867371,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.998199999332428,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9921000003814697,"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/monochromatic-color","display_name":"Monochromatic color","score":0.7625370025634766},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6890696287155151},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5853652954101562},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5469416379928589},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48867467045783997},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4831528067588806},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.47695648670196533},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.44795456528663635},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44346508383750916},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3348173201084137},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.30671197175979614},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1840059757232666},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.16952061653137207},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1270049810409546}],"concepts":[{"id":"https://openalex.org/C40833965","wikidata":"https://www.wikidata.org/wiki/Q6901438","display_name":"Monochromatic color","level":2,"score":0.7625370025634766},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6890696287155151},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5853652954101562},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5469416379928589},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48867467045783997},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4831528067588806},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.47695648670196533},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44795456528663635},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44346508383750916},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3348173201084137},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.30671197175979614},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1840059757232666},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.16952061653137207},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1270049810409546},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/fi-2010-251","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2010-251","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land","score":0.4000000059604645}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1523850626","https://openalex.org/W1978344479","https://openalex.org/W1994612875","https://openalex.org/W2011039300","https://openalex.org/W2019192303","https://openalex.org/W2077135746","https://openalex.org/W2103772568","https://openalex.org/W2103985627","https://openalex.org/W2127420314","https://openalex.org/W2148262713","https://openalex.org/W2334719410"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2509614667","https://openalex.org/W2963293152","https://openalex.org/W4302199713","https://openalex.org/W2909469610","https://openalex.org/W2963562790","https://openalex.org/W2626027010","https://openalex.org/W2755006503","https://openalex.org/W1629841509","https://openalex.org/W4307786625"],"abstract_inverted_index":{"In":[0],"this":[1,47],"paper,":[2],"we":[3],"deal":[4],"with":[5,67],"the":[6,35,57,64,71,74],"problem":[7,36],"of":[8,12,15,26,73],"partitioning":[9],"a":[10],"set":[11],"coplanar":[13],"points":[14],"more":[16],"than":[17,63],"one":[18],"colors":[19],"into":[20],"monochromatic":[21],"cells":[22],"using":[23],"minimum":[24],"number":[25],"axis-parallel":[27],"straight":[28],"lines.":[29],"It":[30],"is":[31,37,42,60],"first":[32],"shown":[33],"that":[34,56],"NP-hard.":[38],"A":[39],"fast":[40],"heuristic":[41],"then":[43],"presented":[44],"to":[45],"solve":[46],"problem.":[48],"Experimental":[49],"results":[50],"on":[51],"randomly":[52],"generated":[53],"instances":[54],"indicate":[55],"proposed":[58],"method":[59],"much":[61],"faster":[62],"existing":[65],"techniques,":[66],"minor":[68],"degradation":[69],"in":[70],"cost":[72],"partition.":[75]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
