{"id":"https://openalex.org/W4415428077","doi":"https://doi.org/10.3233/faia251225","title":"Polynomial-Time Algorithms for Fair Orientations of Chores","display_name":"Polynomial-Time Algorithms for Fair Orientations of Chores","publication_year":2025,"publication_date":"2025-10-21","ids":{"openalex":"https://openalex.org/W4415428077","doi":"https://doi.org/10.3233/faia251225"},"language":null,"primary_location":{"id":"doi:10.3233/faia251225","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia251225","pdf_url":null,"source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.3233/faia251225","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090532605","display_name":"Kevin Hsu","orcid":"https://orcid.org/0000-0002-8932-978X"},"institutions":[{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Kevin Hsu","raw_affiliation_strings":["University of Victoria"],"raw_orcid":"https://orcid.org/0000-0002-8932-978X","affiliations":[{"raw_affiliation_string":"University of Victoria","institution_ids":["https://openalex.org/I212119943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110426531","display_name":"Valerie King","orcid":"https://orcid.org/0000-0001-5138-6925"},"institutions":[{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Valerie King","raw_affiliation_strings":["University of Victoria"],"raw_orcid":"https://orcid.org/0000-0001-7311-7427","affiliations":[{"raw_affiliation_string":"University of Victoria","institution_ids":["https://openalex.org/I212119943"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5090532605"],"corresponding_institution_ids":["https://openalex.org/I212119943"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.65849017,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.8417999744415283,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.8417999744415283,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.8019000291824341,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.7807999849319458,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.63919997215271},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5864999890327454},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.44119998812675476},{"id":"https://openalex.org/keywords/orientation","display_name":"Orientation (vector space)","score":0.4185999929904938},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.36719998717308044}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.63919997215271},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6287000179290771},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5864999890327454},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.566100001335144},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.44119998812675476},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.4185999929904938},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40619999170303345},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.36719998717308044},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3215999901294708},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.31220000982284546},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.26840001344680786},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.2581999897956848},{"id":"https://openalex.org/C2776502983","wikidata":"https://www.wikidata.org/wiki/Q690182","display_name":"Contrast (vision)","level":2,"score":0.25529998540878296}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/faia251225","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia251225","pdf_url":null,"source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.3233/faia251225","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia251225","pdf_url":null,"source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,45,49,58,123,128,157],"problem":[4],"of":[5,9,11,60,67,102,125,130],"finding":[6],"fair":[7],"orientations":[8,85,101,141],"graphs":[10,63,79,103,135],"chores,":[12,131],"in":[13],"which":[14],"each":[15,21],"vertex":[16,46],"corresponds":[17,23],"to":[18,24,34,44,48,144,165],"an":[19,35],"agent,":[20],"edge":[22,40],"a":[25,28,65,119],"chore,":[26],"and":[27,69,74,99,127,159],"chore":[29],"has":[30],"zero":[31],"marginal":[32],"utility":[33],"agent":[36],"if":[37,107,111],"its":[38],"corresponding":[39,47],"is":[41,86],"not":[42],"incident":[43],"agent.":[50],"Recently,":[51],"Zhou":[52],"et":[53,149],"al.":[54,150],"(IJCAI,":[55],"2024)":[56],"analyzed":[57],"complexity":[59],"deciding":[61,77,133],"whether":[62,78,134],"containing":[64,80,104,136],"mixture":[66],"goods":[68,126,138],"chores":[70,82,106],"have":[71,83,139],"EFX":[72,84,100,140,160],"orientations,":[73],"conjectured":[75],"that":[76,96],"only":[81,105,137],"NP-complete.":[87,167],"We":[88],"resolve":[89],"this":[90],"conjecture":[91],"by":[92,147],"giving":[93],"polynomial-time":[94],"algorithms":[95],"find":[97],"EF1":[98,158],"they":[108],"exist,":[109],"even":[110],"there":[112],"are":[113],"self-loops.":[114],"Remarkably,":[115],"our":[116],"result":[117],"demonstrates":[118],"surprising":[120],"separation":[121],"between":[122],"case":[124,129],"because":[132],"was":[142],"shown":[143],"be":[145,166],"NP-complete":[146],"Christodoulou":[148],"(EC,":[151],"2023).":[152],"In":[153],"addition,":[154],"we":[155],"show":[156],"orientation":[161],"problems":[162],"for":[163],"multigraphs":[164]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-24T00:00:00"}