{"id":"https://openalex.org/W3134196584","doi":"https://doi.org/10.1145/3465456.3467605","title":"Improving EFX Guarantees through Rainbow Cycle Number","display_name":"Improving EFX Guarantees through Rainbow Cycle Number","publication_year":2021,"publication_date":"2021-07-18","ids":{"openalex":"https://openalex.org/W3134196584","doi":"https://doi.org/10.1145/3465456.3467605","mag":"3134196584"},"language":"en","primary_location":{"id":"doi:10.1145/3465456.3467605","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3465456.3467605","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3465456.3467605","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 22nd ACM Conference on Economics and Computation","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3465456.3467605","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011077385","display_name":"Bhaskar Ray Chaudhury","orcid":null},"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"]},{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Bhaskar Ray Chaudhury","raw_affiliation_strings":["Max Planck Institute for Informatics, Saarbr\u00fccken, Germany","Max-Planck-Society"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Informatics, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"Max-Planck-Society","institution_ids":["https://openalex.org/I149899117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077432617","display_name":"Jugal Garg","orcid":"https://orcid.org/0000-0001-6439-7308"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jugal Garg","raw_affiliation_strings":["University of Illinois at Urbana-Champaign, Urbana, IL, USA","***University of Illinois at Urbana-Champaign"],"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"***University of Illinois at Urbana-Champaign","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010961023","display_name":"Kurt Mehlhorn","orcid":"https://orcid.org/0000-0003-4020-4334"},"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"]},{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Kurt Mehlhorn","raw_affiliation_strings":["Max Planck Institute for Informatics, Saarbr\u00fccken, UNK, Germany","Max-Planck-Society"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Informatics, Saarbr\u00fccken, UNK, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"Max-Planck-Society","institution_ids":["https://openalex.org/I149899117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070267732","display_name":"Ruta Mehta","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ruta Mehta","raw_affiliation_strings":["University of Illinois at Urbana-Champaign, Urbana, IL, USA","***University of Illinois at Urbana-Champaign"],"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"***University of Illinois at Urbana-Champaign","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045302816","display_name":"Pranabendu Misra","orcid":"https://orcid.org/0000-0002-7086-5590"},"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"]},{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Pranabendu Misra","raw_affiliation_strings":["Max Planck Institute for Informatics, Saarbr\u00fccken, UNK, Germany","Max-Planck-Society"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Informatics, Saarbr\u00fccken, UNK, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"Max-Planck-Society","institution_ids":["https://openalex.org/I149899117"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5011077385"],"corresponding_institution_ids":["https://openalex.org/I149899117","https://openalex.org/I4210109712"],"apc_list":null,"apc_paid":null,"fwci":0.6059,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70898587,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"310","last_page":"311"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9988999962806702,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9988999962806702,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9934999942779541,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fair-division","display_name":"Fair division","score":0.7899086475372314},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7062331438064575},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5952131748199463},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.571977436542511},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5036160349845886},{"id":"https://openalex.org/keywords/digraph","display_name":"Digraph","score":0.4385181963443756},{"id":"https://openalex.org/keywords/sublinear-function","display_name":"Sublinear function","score":0.422201931476593},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4150291979312897},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3216056227684021},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.28210851550102234}],"concepts":[{"id":"https://openalex.org/C184659173","wikidata":"https://www.wikidata.org/wiki/Q1511081","display_name":"Fair division","level":2,"score":0.7899086475372314},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7062331438064575},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5952131748199463},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.571977436542511},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5036160349845886},{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.4385181963443756},{"id":"https://openalex.org/C117160843","wikidata":"https://www.wikidata.org/wiki/Q338652","display_name":"Sublinear function","level":2,"score":0.422201931476593},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4150291979312897},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3216056227684021},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.28210851550102234},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/3465456.3467605","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3465456.3467605","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3465456.3467605","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 22nd ACM Conference on Economics and Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2103.01628","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.01628","pdf_url":"https://arxiv.org/pdf/2103.01628","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2103.01628","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2103.01628","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"mag:3134196584","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}],"best_oa_location":{"id":"doi:10.1145/3465456.3467605","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3465456.3467605","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3465456.3467605","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 22nd ACM Conference on Economics and Computation","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1705074615","display_name":null,"funder_award_id":"CCF-1942321 (CAREER)","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G275385925","display_name":null,"funder_award_id":"1942321","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3136031130","display_name":"CAREER: Equilibrium Computation and Other Total Search Problems","funder_award_id":"1750436","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4267437639","display_name":null,"funder_award_id":"CCF-1750436","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5200183676","display_name":null,"funder_award_id":"CCF-1942321","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6671297155","display_name":null,"funder_award_id":"CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3134196584.pdf","grobid_xml":"https://content.openalex.org/works/W3134196584.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W1482334512","https://openalex.org/W1487872891","https://openalex.org/W2074920973","https://openalex.org/W2107944092","https://openalex.org/W2109728195","https://openalex.org/W2119085547","https://openalex.org/W2121240598","https://openalex.org/W2129939288","https://openalex.org/W2150409561","https://openalex.org/W2296148711","https://openalex.org/W2346164124","https://openalex.org/W2592030152","https://openalex.org/W2607725432","https://openalex.org/W2787109037","https://openalex.org/W2798588639","https://openalex.org/W2811122596","https://openalex.org/W2913288790","https://openalex.org/W2914414140","https://openalex.org/W2944952006","https://openalex.org/W2962833396","https://openalex.org/W2963034101","https://openalex.org/W2963036332","https://openalex.org/W2964250178","https://openalex.org/W3001150461","https://openalex.org/W3012461393","https://openalex.org/W3015618371","https://openalex.org/W3040731779","https://openalex.org/W3042146543","https://openalex.org/W3042417763","https://openalex.org/W3112491806","https://openalex.org/W3129767601","https://openalex.org/W3131618755","https://openalex.org/W3144138375"],"related_works":["https://openalex.org/W578720487","https://openalex.org/W2968051463","https://openalex.org/W2995340000","https://openalex.org/W3185261015","https://openalex.org/W1842290172","https://openalex.org/W3203236727","https://openalex.org/W2618393581","https://openalex.org/W2950956683","https://openalex.org/W2949457880","https://openalex.org/W16941573","https://openalex.org/W2982755386","https://openalex.org/W646988672","https://openalex.org/W1480579907","https://openalex.org/W1750951292","https://openalex.org/W2153638985","https://openalex.org/W3015555506","https://openalex.org/W3206343127","https://openalex.org/W2168581190","https://openalex.org/W2996278346","https://openalex.org/W1595532028"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,26,35,48,64,73,109,120,137],"problem":[3],"of":[4,9,37,47,66,75,122,129],"fairly":[5],"allocating":[6],"a":[7,132],"set":[8],"indivisible":[10],"goods":[11,112,124],"among":[12],"n":[13,92],"agents":[14,104,130],"with":[15],"additive":[16],"valuations.":[17],"Envy-freeness":[18],"up":[19],"to":[20,135],"any":[21],"good":[22],"(EFX)":[23],"is":[24,45,131],"arguably":[25],"most":[27,49,91],"compelling":[28],"fairness":[29],"notion":[30],"in":[31,52,105,107],"this":[32,58],"context.":[33],"However,":[34],"existence":[36,65,74],"EFX":[38,82],"allocations":[39],"has":[40],"not":[41,88],"been":[42],"settled":[43],"and":[44,78],"one":[46],"important":[50],"problems":[51],"fair":[53],"division":[54],"[5].":[55],"Towards":[56],"resolving":[57],"problem,":[59],"many":[60],"impressive":[61],"results":[62],"show":[63],"its":[67],"relaxations.":[68],"In":[69],"particular,":[70],"[1]":[71],"shows":[72,80],"0.618-EFX":[76],"allocations,":[77],"[4]":[79],"that":[81],"allocation":[83],"exists":[84],"if":[85],"we":[86],"do":[87],"allocate":[89],"at":[90],"-":[93],"1":[94],"goods.":[95],"The":[96],"latter":[97],"result":[98],"was":[99],"recently":[100],"improved":[101],"for":[102,125],"three":[103],"[2],":[106],"which":[108],"two":[110],"unallocated":[111,123],"are":[113],"allocated":[114],"through":[115],"an":[116,126],"involved":[117],"procedure.":[118],"Reducing":[119],"number":[121,128],"arbitrary":[127],"systematic":[133],"way":[134],"settle":[136],"big":[138],"question.":[139]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
