{"id":"https://openalex.org/W4410976087","doi":"https://doi.org/10.1145/3742476","title":"Local Distributed Rounding: Generalized to MIS, Matching, Set Cover, and Beyond","display_name":"Local Distributed Rounding: Generalized to MIS, Matching, Set Cover, and Beyond","publication_year":2025,"publication_date":"2025-06-03","ids":{"openalex":"https://openalex.org/W4410976087","doi":"https://doi.org/10.1145/3742476"},"language":"en","primary_location":{"id":"doi:10.1145/3742476","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3742476","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://freidok.uni-freiburg.de/files/272132/SQuTbeUMc5lzc_f6/Local+distributed+rounding.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074652539","display_name":"Salwa Faour","orcid":"https://orcid.org/0009-0000-3372-7853"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Salwa Faour","raw_affiliation_strings":["University of Freiburg, Freiburg, Germany"],"raw_orcid":"https://orcid.org/0009-0000-3372-7853","affiliations":[{"raw_affiliation_string":"University of Freiburg, Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063743357","display_name":"Mohsen Ghaffari","orcid":"https://orcid.org/0000-0003-4213-9898"},"institutions":[{"id":"https://openalex.org/I4210110987","display_name":"IIT@MIT","ror":"https://ror.org/01wp8zh54","country_code":"US","type":"facility","lineage":["https://openalex.org/I30771326","https://openalex.org/I4210110987"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mohsen Ghaffari","raw_affiliation_strings":["MIT, Cambridge, Massachusetts,USA","MIT, USA"],"raw_orcid":"https://orcid.org/0000-0003-4213-9898","affiliations":[{"raw_affiliation_string":"MIT, Cambridge, Massachusetts,USA","institution_ids":["https://openalex.org/I4210110987"]},{"raw_affiliation_string":"MIT, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101735840","display_name":"Christoph Grunau","orcid":"https://orcid.org/0000-0002-1057-9429"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Christoph Grunau","raw_affiliation_strings":["ETH Zurich, Zurich, Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-1057-9429","affiliations":[{"raw_affiliation_string":"ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023808567","display_name":"Fabian K\u00fchn","orcid":"https://orcid.org/0000-0002-1025-5037"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Fabian Kuhn","raw_affiliation_strings":["University of Freiburg, Freiburg, Germany"],"raw_orcid":"https://orcid.org/0000-0002-1025-5037","affiliations":[{"raw_affiliation_string":"University of Freiburg, Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062638895","display_name":"V\u00e1clav Rozho\u0148","orcid":"https://orcid.org/0000-0002-9646-8446"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"V\u00e1clav Rozho\u0148","raw_affiliation_strings":["Charles University, Prague, Czech Republic"],"raw_orcid":"https://orcid.org/0000-0002-9646-8446","affiliations":[{"raw_affiliation_string":"Charles University, Prague, Czech Republic","institution_ids":["https://openalex.org/I21250087"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5074652539"],"corresponding_institution_ids":["https://openalex.org/I161046081"],"apc_list":null,"apc_paid":null,"fwci":1.3257,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.82414277,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"21","issue":"4","first_page":"1","last_page":"48"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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":0.9998999834060669,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9993000030517578,"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/T12288","display_name":"Optimization and Search Problems","score":0.9973999857902527,"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/rounding","display_name":"Rounding","score":0.8912777900695801},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.6545171737670898},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.6463337540626526},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5758745074272156},{"id":"https://openalex.org/keywords/set-cover-problem","display_name":"Set cover problem","score":0.5689570903778076},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5316940546035767},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4800585210323334},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4330655038356781},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42567169666290283},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3512643575668335},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16102871298789978}],"concepts":[{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.8912777900695801},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.6545171737670898},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.6463337540626526},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5758745074272156},{"id":"https://openalex.org/C100808899","wikidata":"https://www.wikidata.org/wiki/Q1192100","display_name":"Set cover problem","level":3,"score":0.5689570903778076},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5316940546035767},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4800585210323334},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4330655038356781},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42567169666290283},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3512643575668335},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16102871298789978},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"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:10.1145/3742476","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3742476","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:freidok.uni-freiburg.de:272132","is_oa":true,"landing_page_url":"https://freidok.uni-freiburg.de/data/272132","pdf_url":"https://freidok.uni-freiburg.de/files/272132/SQuTbeUMc5lzc_f6/Local+distributed+rounding.pdf","source":{"id":"https://openalex.org/S4306401057","display_name":"FreiDok plus (Universit\u00e4tsbibliothek Freiburg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I161046081","host_organization_name":"University of Freiburg","host_organization_lineage":["https://openalex.org/I161046081"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM transactions on algorithms. - 21, 4 (2025) , 1-48, ISSN: 1549-6333","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:freidok.uni-freiburg.de:272132","is_oa":true,"landing_page_url":"https://freidok.uni-freiburg.de/data/272132","pdf_url":"https://freidok.uni-freiburg.de/files/272132/SQuTbeUMc5lzc_f6/Local+distributed+rounding.pdf","source":{"id":"https://openalex.org/S4306401057","display_name":"FreiDok plus (Universit\u00e4tsbibliothek Freiburg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I161046081","host_organization_name":"University of Freiburg","host_organization_lineage":["https://openalex.org/I161046081"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM transactions on algorithms. - 21, 4 (2025) , 1-48, ISSN: 1549-6333","raw_type":"article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2722508984","display_name":null,"funder_award_id":"200021_184735","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4410976087.pdf","grobid_xml":"https://content.openalex.org/works/W4410976087.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1666479227","https://openalex.org/W1789125946","https://openalex.org/W1964089073","https://openalex.org/W1976890066","https://openalex.org/W1980155175","https://openalex.org/W2003665833","https://openalex.org/W2003902046","https://openalex.org/W2008690976","https://openalex.org/W2011595776","https://openalex.org/W2011894656","https://openalex.org/W2019294877","https://openalex.org/W2054910423","https://openalex.org/W2067661972","https://openalex.org/W2100061495","https://openalex.org/W2112009244","https://openalex.org/W2118288908","https://openalex.org/W2136185479","https://openalex.org/W2748046883","https://openalex.org/W2952275559","https://openalex.org/W2954841372","https://openalex.org/W2963158951","https://openalex.org/W2972260066","https://openalex.org/W3002926878","https://openalex.org/W3017383812","https://openalex.org/W4301139072","https://openalex.org/W4376651355","https://openalex.org/W4404848279"],"related_works":["https://openalex.org/W4220780102","https://openalex.org/W2410881844","https://openalex.org/W3196334750","https://openalex.org/W2035485837","https://openalex.org/W42493594","https://openalex.org/W1919775156","https://openalex.org/W2037870595","https://openalex.org/W3165916245","https://openalex.org/W2003676461","https://openalex.org/W179341918"],"abstract_inverted_index":{"We":[0,156,244],"develop":[1],"a":[2,50,55,123,158,188,275,299,310],"general":[3,113],"deterministic":[4,87,105,159,180,193,232,247,276,292],"distributed":[5,106,126,194,203,233,248],"method":[6,31,79],"for":[7,15,44,108,128,164,250,254,266,280,297,308],"locally":[8,119],"rounding":[9,89,114,251],"fractional":[10,252],"solutions":[11,107,253],"of":[12,26,37,58,61,125,197,285,302,313,319,332],"graph":[13,110,130],"problems":[14,206],"which":[16,62,236],"the":[17,30,38,45,152,169,184,190,198,228],"analysis":[18],"can":[19,32,359],"be":[20,360],"broken":[21],"down":[22],"into":[23,40],"analyzing":[24],"pairs":[25],"vertices.":[27],"Roughly":[28],"speaking,":[29],"transform":[33],"fractional/probabilistic":[34],"label":[35,42],"assignments":[36,43],"vertices":[39,68],"integral/deterministic":[41],"vertices,":[46],"while":[47],"approximately":[48],"preserving":[49],"potential":[51],"function":[52],"that":[53,354],"is":[54,217,226,237,343],"linear":[56],"combination":[57],"functions,":[59],"each":[60,341],"depends":[63],"on":[64,86,240],"at":[65,334,346],"most":[66,200,335,347],"two":[67],"(subject":[69],"to":[70,102,118],"some":[71],"conditions":[72],"usually":[73],"satisfied":[74],"in":[75,149,168,183,317,345,362],"pairwise":[76],"analyses).":[77],"The":[78],"unifies":[80],"and":[81,120,141,172,213,259,289,307,339],"significantly":[82],"generalizes":[83],"prior":[84],"work":[85],"local":[88,129],"techniques":[90],"[Ghaffari,":[91],"Kuhn":[92,98],"FOCS\u201921;":[93],"Harris":[94],"FOCS\u201919;":[95],"Fischer,":[96],"Ghaffari,":[97],"FOCS\u201917;":[99],"Fischer":[100],"DISC\u201917]":[101],"obtain":[103,151,157,245],"polylogarithmic-time":[104,231],"combinatorial":[109],"problems.":[111],"Our":[112,222],"result":[115],"enables":[116],"us":[117],"efficiently":[121],"derandomize":[122],"range":[124],"algorithms":[127,249,296],"problems,":[131],"including":[132],"maximal":[133,208],"independent":[134,138,257,283,305],"set":[135,139,143,258,262,284,327],"(MIS),":[136],"maximum-weight":[137],"approximation,":[140],"minimum-cost":[142],"cover":[144,328],"approximation.":[145],"As":[146,187],"highlights,":[147],"we,":[148],"particular,":[150,265],"following":[153],"results.":[154],"\u2014":[155,243],"\\(O(\\log^{2}\\Delta\\cdot\\log":[160,219],"n)\\)":[161,178,220],"-round":[162,179,278,295],"algorithm":[163,182,225,279],"computing":[165,281,298,309],"an":[166,173,282,355],"MIS":[167,181,224,234],"\\(\\mathsf{LOCAL}\\)":[170],"model":[171],"almost":[174],"as":[175],"efficient":[176,246],"\\(O(\\log^{2}\\Delta\\cdot\\log\\log\\Delta\\cdot\\log":[177],"\\(\\mathsf{CONGEST}\\)":[185],"model.":[186],"result,":[189],"best":[191],"known":[192],"time":[195,363],"complexity":[196],"four":[199],"widely":[201],"studied":[202],"symmetry":[204],"breaking":[205],"(MIS,":[207],"matching,":[209],"\\((\\Delta+1)\\)":[210],"-vertex":[211],"coloring,":[212],"\\((2\\Delta-1)\\)":[214],"-edge":[215],"coloring)":[216],"now":[218],".":[221,324,366],"new":[223],"also":[227],"first":[229],"direct":[230],"algorithm,":[235],"not":[238],"based":[239],"network":[241],"decomposition.":[242],"maximum":[255,303,314],"(weighted)":[256,261],"minimum":[260,326],"cover.":[263],"In":[264],"any":[267],"constant":[268],"\\(\\varepsilon":[269],"&gt;":[270],"0\\)":[271],",":[272,288],"we":[273,290,352],"give":[274,291],"\\(O(\\log^{2}\\Delta+\\log^{*}n)\\)":[277],"size":[286,333],"\\((1/2-\\varepsilon)\\,{\\cdot}\\,n/\\deg_{\\mathrm{avg}}\\)":[287],"\\(O(\\log^{2}(\\Delta":[293],"W)+\\log^{*}n)\\)":[294],"\\((1-\\varepsilon)/\\Delta\\)":[300],"-approximation":[301,312,358],"weight":[304,315],"set,":[306],"\\((1-\\varepsilon)/r\\)":[311],"matching":[316],"hypergraphs":[318],"rank":[320],"\\(":[321,336,348],"r":[322],"\\)":[323,338,350],"For":[325],"instances":[329],"with":[330],"sets":[331],"s":[337],"where":[340],"element":[342],"contained":[344],"t":[349],"sets,":[351],"show":[353],"\\(O(\\log":[356,364],"s)\\)":[357],"computed":[361],"s\\cdot\\log^{2}t+\\log^{*}n)\\)":[365]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
