{"id":"https://openalex.org/W2594034261","doi":"https://doi.org/10.3233/fi-2017-1465","title":"Fast and Efficient Parallel Coarsest Refinement","display_name":"Fast and Efficient Parallel Coarsest Refinement","publication_year":2017,"publication_date":"2017-03-03","ids":{"openalex":"https://openalex.org/W2594034261","doi":"https://doi.org/10.3233/fi-2017-1465","mag":"2594034261"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2017-1465","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2017-1465","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/A5074331231","display_name":"Nopadon Juneam","orcid":"https://orcid.org/0000-0002-2077-7656"},"institutions":[{"id":"https://openalex.org/I48076826","display_name":"Chiang Mai University","ror":"https://ror.org/05m2fqn25","country_code":"TH","type":"education","lineage":["https://openalex.org/I48076826"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"Nopadon Juneam","raw_affiliation_strings":["Department of Computer Science, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand","institution_ids":["https://openalex.org/I48076826"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014588132","display_name":"Sanpawat Kantabutra","orcid":"https://orcid.org/0000-0002-1199-2098"},"institutions":[{"id":"https://openalex.org/I48076826","display_name":"Chiang Mai University","ror":"https://ror.org/05m2fqn25","country_code":"TH","type":"education","lineage":["https://openalex.org/I48076826"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"Sanpawat Kantabutra","raw_affiliation_strings":["The Theory of Computation Group, Department of Computer Engineering, Faculty of Engineering, Chiang Mai University, Chiang Mai, 50200, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Theory of Computation Group, Department of Computer Engineering, Faculty of Engineering, Chiang Mai University, Chiang Mai, 50200, Thailand","institution_ids":["https://openalex.org/I48076826"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014588132","https://openalex.org/A5074331231"],"corresponding_institution_ids":["https://openalex.org/I48076826"],"apc_list":null,"apc_paid":null,"fwci":0.4583,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63730613,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"150","issue":"2","first_page":"211","last_page":"220"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/algorithm","display_name":"Algorithm","score":0.696882963180542},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5913508534431458},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32929757237434387}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.696882963180542},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5913508534431458},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32929757237434387}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/fi-2017-1465","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2017-1465","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1497287285","https://openalex.org/W1567048976","https://openalex.org/W1978583881","https://openalex.org/W2062584330","https://openalex.org/W2068361557","https://openalex.org/W2071054511","https://openalex.org/W2076458424","https://openalex.org/W2097755092","https://openalex.org/W2130566259","https://openalex.org/W2142133444"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109"],"abstract_inverted_index":{"The":[0],"process":[1],"of":[2,7,13,34,90,177],"merging":[3],"two":[4,29],"arbitrary":[5,30],"partitions":[6,31],"a":[8,67,86,93,112,125,178,203,215,334],"given":[9,28],"finite":[10],"set":[11,36],"\ud835\udcb0":[12,37],"n":[14,247],"elements":[15],"is":[16,85,104,267],"known":[17,209,347],"as":[18,105,107,341,344],"coarsest":[19,126,236,270],"refinement.":[20],"In":[21,328],"the":[22,35,174,207,221,235,254,258,269,345],"COARSEST":[23],"REFINEMENT":[24],"PROBLEM":[25],"we":[26,122,330],"are":[27,233],"\ud835\udcb3,":[32],"\ud835\udcb4":[33,53,58,62,98,101],"such":[38,82],"that":[39,83,124,183,205,332],"\ud835\udcb3":[40,45,49,92,95],"=":[41,54,71],"{\ud835\udcb3":[42],"1":[43,56,73],",":[44,47,57,60,74,77],"2":[46,59,76],"...,":[48,61,78],"x":[50],"}":[51,81],"and":[52,65,96,102,198,211,231],"{\ud835\udcb4":[55],"y":[63],"},":[64],"determine":[66],"new":[68],"partition":[69],"\ud835\udcb5":[70,75,79],"{\ud835\udcb5":[72],"z":[80],"each":[84],"common":[87],"non-empty":[88],"subset":[89],"some":[91,97],"\u2208":[94,100],"b":[99],"|\ud835\udcb5|":[103],"small":[106],"possible.":[108],"This":[109,192],"article":[110],"describes":[111],"resource-efficient":[113],"parallel":[114,138,179,216,222,244,259,306,338],"algorithm":[115,182,262,339],"to":[116],"solve":[117],"this":[118],"problem.":[119],"More":[120],"specifically,":[121],"show":[123,331],"refinement":[127,237,271],"can":[128,238,272],"be":[129,239,273],"computed":[130,240,274],"in":[131,241,275],"O(":[132],"t(":[133,171,196],"n)":[134,137,172,186,197,243],"+":[135],"log":[136],"time":[139,176,210,245,307],"using":[140,246,308],"<mml:math":[141,276,309],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[142,277,310],"overflow=\"scroll\"":[143,278,311],"altimg=\"eq-00001.gif\">":[144],"<mml:mrow>":[145,147,149,152,280,282,284,288,290,293,313,316],"<mml:mi>max</mml:mi>":[146],"<mml:mo>{</mml:mo>":[148],"<mml:mfrac>":[150,291,314],"<mml:mi>n</mml:mi>":[151,154,161,286,292,295,315,318],"<mml:mi>log</mml:mi>":[153,285,287,294,317],"</mml:mrow>":[155,164,166,167,296,298,300,301,303,304,319,321],"</mml:mfrac>":[156,297,320],"<mml:mo>,</mml:mo>":[157],"<mml:mi>p</mml:mi>":[158],"<mml:mo":[159,162],"stretchy=\"false\">(</mml:mo>":[160],"stretchy=\"false\">)</mml:mo>":[163],"<mml:mo>}</mml:mo>":[165],"</mml:math>":[168,305,322],"processors,":[169],"where":[170],"denotes":[173],"running":[175],"stable":[180,217,223,260],"sorting":[181,218,224,261],"uses":[184],"p(":[185,199],"processors":[187,248,323],"on":[188,195,249,324],"an":[189,250,325],"EREW":[190,251,326],"PRAM.":[191,252,327],"result":[193],"depends":[194],"n).":[200],"We":[201],"give":[202],"table":[204],"shows":[206],"best":[208],"processor":[212],"complexities":[213],"for":[214],"algorithm.":[219,349],"If":[220],"algorithms":[225],"by":[226,263],"Ajtai":[227],"et":[228,265],"al.,":[229],"Cole,":[230],"Leighton":[232],"used,":[234,268],"O(log":[242],"On":[253],"other":[255],"hand,":[256],"if":[257],"Bahig":[264],"al.":[266],"altimg=\"eq-00002.gif\">":[279],"<mml:mi>O</mml:mi>":[281],"<mml:mo>(</mml:mo>":[283,289],"<mml:mo>)</mml:mo>":[299,302],"altimg=\"eq-00003.gif\">":[312],"addition,":[329],"on,":[333],"RAM":[335],"machine,":[336],"our":[337],"runs":[340],"asymptotically":[342],"efficient":[343],"fastest":[346],"sequential":[348]},"counts_by_year":[{"year":2018,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}