{"id":"https://openalex.org/W1506673758","doi":"https://doi.org/10.1137/080731712","title":"Adaptive Local Ratio","display_name":"Adaptive Local Ratio","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1506673758","doi":"https://doi.org/10.1137/080731712","mag":"1506673758"},"language":"en","primary_location":{"id":"doi:10.1137/080731712","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080731712","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","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/A5007528822","display_name":"Juli\u00e1n Mestre","orcid":"https://orcid.org/0000-0003-4948-2998"},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"funder","lineage":["https://openalex.org/I149899117"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Juli\u00e1n Mestre","raw_affiliation_strings":["Max Planck Society"],"affiliations":[{"raw_affiliation_string":"Max Planck Society","institution_ids":["https://openalex.org/I149899117"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007528822"],"corresponding_institution_ids":["https://openalex.org/I149899117"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05821441,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"39","issue":"7","first_page":"3038","last_page":"3057"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.97079998254776,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.97079998254776,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.963100016117096,"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"}},{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9351999759674072,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.5922353267669678},{"id":"https://openalex.org/keywords/local-search","display_name":"Local search (optimization)","score":0.5672189593315125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5611816644668579},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5413778424263},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5074402689933777},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4966138005256653},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4950985014438629},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41642001271247864},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34222540259361267}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5922353267669678},{"id":"https://openalex.org/C135320971","wikidata":"https://www.wikidata.org/wiki/Q1868524","display_name":"Local search (optimization)","level":2,"score":0.5672189593315125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5611816644668579},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5413778424263},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5074402689933777},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4966138005256653},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4950985014438629},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41642001271247864},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34222540259361267},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1137/080731712","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080731712","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.304.8382","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.304.8382","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mpi-inf.mpg.de/%7Ejmestre/papers/alr.pdf","raw_type":"text"},{"id":"pmh:oai:edoc.mpg.de:428165","is_oa":false,"landing_page_url":"http://edoc.mpg.de/428165","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the 19th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2008, ACM, 152-160 (2008)","raw_type":"Conference-Paper"},{"id":"pmh:oai:edoc.mpg.de:536821","is_oa":false,"landing_page_url":"http://edoc.mpg.de/536821","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Computing, v.39, 3038-3057 (2010)","raw_type":"Article"},{"id":"pmh:oai:pure.mpg.de:item_1323802","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-000F-15E8-A","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Computing","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.mpg.de:item_1324454","is_oa":false,"landing_page_url":"https://hdl.handle.net/11858/00-001M-0000-000F-1AC6-0","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the 19th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2008","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"mag:1506673758","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null},{"id":"mag:2039409351","is_oa":false,"landing_page_url":"http://www.cs.technion.ac.il/~reuven/SAVE/OTHERS/adaptive_local_ratio.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306420974","display_name":"Symposium on Discrete Algorithms","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Symposium on Discrete Algorithms","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.800000011920929}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1970592111","https://openalex.org/W1974098993","https://openalex.org/W1978007997","https://openalex.org/W1980334956","https://openalex.org/W1990800802","https://openalex.org/W1997370889","https://openalex.org/W2003902046","https://openalex.org/W2007315235","https://openalex.org/W2013639761","https://openalex.org/W2014528617","https://openalex.org/W2015706819","https://openalex.org/W2028146345","https://openalex.org/W2052494364","https://openalex.org/W2069532962","https://openalex.org/W2070814595","https://openalex.org/W2111167597","https://openalex.org/W2139534004","https://openalex.org/W2161836078","https://openalex.org/W2175640098","https://openalex.org/W2177686805","https://openalex.org/W2179980496","https://openalex.org/W3023912806"],"related_works":["https://openalex.org/W2039409351","https://openalex.org/W2081431552","https://openalex.org/W2794722150","https://openalex.org/W1969080915","https://openalex.org/W2962979861","https://openalex.org/W2923432309","https://openalex.org/W2149596649","https://openalex.org/W1831612509","https://openalex.org/W2376589284","https://openalex.org/W2127655891","https://openalex.org/W2058369923","https://openalex.org/W3188838451","https://openalex.org/W1451881698","https://openalex.org/W1871942156","https://openalex.org/W2189626918","https://openalex.org/W3097594544","https://openalex.org/W2911946702","https://openalex.org/W2190269440","https://openalex.org/W2066307871","https://openalex.org/W3210901615"],"abstract_inverted_index":{"Local":[0],"Ratio":[1],"is":[2,48,53,68],"a":[3,15,19,31,45,65,77,98,101,109,119,134],"well-known":[4],"paradigm":[5],"for":[6,10,118,133],"designing":[7],"approximation":[8],"algorithms":[9],"\\ncombinatorial":[11],"optimization":[12,124],"problems.":[13],"At":[14],"very":[16,78],"high":[17],"level,":[18],"local":[20,111],"ratio":[21],"\\nalgorithm":[22],"first":[23],"decomposes":[24],"the":[25,62,85,88,116],"input":[26],"weight":[27,37],"function":[28],"$w$":[29,71],"into":[30,122],"positive":[32],"linear":[33],"\\ncombination":[34],"of":[35,87,104,126],"simpler":[36],"functions":[38,105],"or":[39],"\\\\emph{models}.":[40],"Guided":[41],"by":[42,114],"this":[43,91],"\\nprocess":[44],"solution":[46],"$S$":[47,52,67],"constructed":[49],"such":[50],"that":[51,81,95],"$\\\\alpha$-approximate":[54],"\\nwith":[55],"respect":[56],"to":[57,108],"each":[58],"model":[59,99,121],"used":[60],"in":[61],"decomposition.":[63],"As":[64],"result,":[66],"\\n$\\\\alpha$-approximate":[69],"under":[70],"as":[72],"well.\\n\\nThese":[73],"models":[74],"usually":[75],"have":[76],"simple":[79],"structure":[80],"remains":[82],"``unchanged''":[83],"\\nthroughout":[84],"execution":[86],"algorithm.":[89],"In":[90],"work":[92],"we":[93,129],"show":[94],"adaptively":[96],"\\nchoosing":[97],"from":[100],"richer":[102],"spectrum":[103],"can":[106],"lead":[107],"better":[110],"\\nratio.":[112],"Indeed,":[113],"turning":[115],"search":[117],"good":[120],"an":[123],"\\nproblem":[125],"its":[127],"own,":[128],"get":[130],"improved":[131],"approximations":[132],"data":[135],"migration":[136],"\\nproblem.":[137]},"counts_by_year":[],"updated_date":"2026-02-26T08:16:20.718346","created_date":"2025-10-10T00:00:00"}