{"id":"https://openalex.org/W2133150912","doi":"https://doi.org/10.1002/rsa.3240020304","title":"Quasi\u2010random 2\u2010 colorings of point sets","display_name":"Quasi\u2010random 2\u2010 colorings of point sets","publication_year":1991,"publication_date":"1991-09-01","ids":{"openalex":"https://openalex.org/W2133150912","doi":"https://doi.org/10.1002/rsa.3240020304","mag":"2133150912"},"language":"en","primary_location":{"id":"doi:10.1002/rsa.3240020304","is_oa":false,"landing_page_url":"https://doi.org/10.1002/rsa.3240020304","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures & Algorithms","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/A5047375371","display_name":"J\u00f3zsef Beck","orcid":"https://orcid.org/0000-0002-5428-8818"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]},{"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"]}],"countries":["HU","US"],"is_corresponding":true,"raw_author_name":"J\u00f3zsef Beck","raw_affiliation_strings":["Eo\u0308tvo\u0308s Lora\u0301nd University, Department of Mathematics, Budapest, Mu\u0301zeum krt. 6-8, Hungary 1088 and Rutgers University, Department of Mathematics, Hill Center, Busch Campus, New Brunswick NJ 08903","E\u00f6tv\u00f6s Lor\u00e1nd University, Department of Mathematics, Budapest, M\u00fazeum krt. 6-8, Hungary 1088 and Rutgers University, Department of Mathematics, Hill Center, Busch Campu ...#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eo\u0308tvo\u0308s Lora\u0301nd University, Department of Mathematics, Budapest, Mu\u0301zeum krt. 6-8, Hungary 1088 and Rutgers University, Department of Mathematics, Hill Center, Busch Campus, New Brunswick NJ 08903","institution_ids":["https://openalex.org/I102322142","https://openalex.org/I106118109"]},{"raw_affiliation_string":"E\u00f6tv\u00f6s Lor\u00e1nd University, Department of Mathematics, Budapest, M\u00fazeum krt. 6-8, Hungary 1088 and Rutgers University, Department of Mathematics, Hill Center, Busch Campu ...#TAB#","institution_ids":["https://openalex.org/I106118109"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047375371"],"corresponding_institution_ids":["https://openalex.org/I102322142","https://openalex.org/I106118109"],"apc_list":{"value":4330,"currency":"USD","value_usd":4330},"apc_paid":null,"fwci":0.7138,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.71558704,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":"3","first_page":"289","last_page":"302"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9966999888420105,"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":0.9966999888420105,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9905999898910522,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9846000075340271,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.719184160232544},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6541035175323486},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6363654732704163},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.6105359792709351},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5472812056541443},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5462278723716736},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3308602273464203},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1637740135192871},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16214591264724731}],"concepts":[{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.719184160232544},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6541035175323486},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6363654732704163},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.6105359792709351},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5472812056541443},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5462278723716736},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3308602273464203},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1637740135192871},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16214591264724731},{"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:10.1002/rsa.3240020304","is_oa":false,"landing_page_url":"https://doi.org/10.1002/rsa.3240020304","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures & Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:alma.01RUT_INST:11665215350004646","is_oa":false,"landing_page_url":"https://scholarship.libraries.rutgers.edu/esploro/outputs/journalArticle/Quasi-random-2--colorings-of-point-sets/991031666130004646","pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"Open Research (University of Surrey)","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1487872891","https://openalex.org/W1503520352","https://openalex.org/W1975635227","https://openalex.org/W1999810398","https://openalex.org/W2000105188","https://openalex.org/W2008497801","https://openalex.org/W2011095973","https://openalex.org/W2018716367","https://openalex.org/W2041210664","https://openalex.org/W2063965994","https://openalex.org/W2069367490","https://openalex.org/W2088402854"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W2371953206","https://openalex.org/W2549201271","https://openalex.org/W2361023359","https://openalex.org/W4252675521","https://openalex.org/W2349543044","https://openalex.org/W3007915326"],"abstract_inverted_index":{"Abstract":[0],"Given":[1],"an":[2],"arbitrary":[3],"set":[4],"of":[5,26,29],"N":[6,42,45],"points":[7,15,33],"on":[8],"the":[9,14,24,27],"plane,":[10],"one":[11],"can":[12],"two\u2010color":[13],"red":[16,30],"and":[17,31],"blue":[18,32],"in":[19,34],"such":[20],"a":[21],"way":[22],"that":[23],"difference":[25],"numbers":[28],"any":[35],"half\u2010plane":[36],"has":[37],"absolute":[38],"value":[39],"less":[40],"than":[41],"1/4":[43],"(log":[44],")":[46],"4":[47],".":[48],"This":[49],"is":[50],"essentially":[51],"best":[52],"possible.":[53]},"counts_by_year":[],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}