{"id":"https://openalex.org/W7204931838","doi":"https://doi.org/10.1145/3846167.3848603","title":"Constrained Fair Allocations via Partition Matroid Reductions","display_name":"Constrained Fair Allocations via Partition Matroid Reductions","publication_year":2026,"publication_date":"2026-11-03","ids":{"openalex":"https://openalex.org/W7204931838","doi":"https://doi.org/10.1145/3846167.3848603"},"language":"en","primary_location":{"id":"doi:10.1145/3846167.3848603","doi":"https://doi.org/10.1145/3846167.3848603","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3846167.3848603","pdf_url":null,"source":{"id":"https://openalex.org/S7407105071","display_name":"ACM Conference on Equity and Access in Algorithms, Mechanisms, and Optimization (EAAMO)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 6th ACM Conference on Equity and Access in Algorithms, Mechanisms, and Optimization","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1145/3846167.3848603","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5114634737","display_name":"Benjamin Cookson","orcid":"https://orcid.org/0009-0000-6722-6109","observed_orcids":["https://orcid.org/0009-0000-6722-6109"]},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Benjamin Cookson","raw_affiliation_strings":["Department of Computer Science, University of Toronto, Toronto, Ontario, Canada"],"raw_orcid":"https://orcid.org/0009-0000-6722-6109","affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Toronto, Toronto, Ontario, Canada","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112472038","display_name":"Nisarg Shah","orcid":"https://orcid.org/0000-0002-0946-3402","observed_orcids":["https://orcid.org/0000-0002-0946-3402"]},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Nisarg Shah","raw_affiliation_strings":["Department of Computer Science, University of Toronto, Toronto, Ontario, Canada"],"raw_orcid":"https://orcid.org/0000-0002-0946-3402","affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Toronto, Toronto, Ontario, Canada","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I185261750"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.66173783,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"40","last_page":"48"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9990000128746033,"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/T12288","display_name":"Optimization and Search Problems","score":0.00039999998989515007,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.0,"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":0.8349999785423279},{"id":"https://openalex.org/keywords/indivisible-goods","display_name":"indivisible goods","score":0.9459999799728394},{"id":"https://openalex.org/keywords/elongation-factor-1","display_name":"elongation factor 1","score":0.6240000128746033},{"id":"https://openalex.org/keywords/matroid-constraints","display_name":"matroid constraints","score":0.8600000143051147},{"id":"https://openalex.org/keywords/partition-matroids","display_name":"partition matroids","score":0.9570000171661377},{"id":"https://openalex.org/keywords/transversal-matroids","display_name":"transversal matroids","score":0.9169999957084656},{"id":"https://openalex.org/keywords/graphic-matroids","display_name":"graphic matroids","score":0.9829999804496765},{"id":"https://openalex.org/keywords/matroid-decomposition","display_name":"matroid decomposition","score":0.972000002861023},{"id":"https://openalex.org/keywords/additive-valuations","display_name":"additive valuations","score":0.8100000023841858},{"id":"https://openalex.org/keywords/existence-of-allocations","display_name":"existence of allocations","score":0.5809999704360962}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.9395999908447266},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.7526000142097473},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6502000093460083},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5188999772071838},{"id":"https://openalex.org/C2780130068","wikidata":"https://www.wikidata.org/wiki/Q2208651","display_name":"Transversal (combinatorics)","level":2,"score":0.38359999656677246},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.376800000667572},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.3061000108718872},{"id":"https://openalex.org/C22425182","wikidata":"https://www.wikidata.org/wiki/Q6787906","display_name":"Matroid partitioning","level":4,"score":0.3028999865055084},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.29739999771118164},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.28220000863075256},{"id":"https://openalex.org/C3018263672","wikidata":"https://www.wikidata.org/wiki/Q1296251","display_name":"Efficient algorithm","level":2,"score":0.2743000090122223},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.2721000015735626},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.27090001106262207},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.25459998846054077}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3846167.3848603","doi":"https://doi.org/10.1145/3846167.3848603","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3846167.3848603","pdf_url":null,"source":{"id":"https://openalex.org/S7407105071","display_name":"ACM Conference on Equity and Access in Algorithms, Mechanisms, and Optimization (EAAMO)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 6th ACM Conference on Equity and Access in Algorithms, Mechanisms, and Optimization","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2608.31121","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.31121","pdf_url":"https://arxiv.org/pdf/2608.31121","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2608.31121","doi":"https://doi.org/10.48550/arxiv.2608.31121","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.31121","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1145/3846167.3848603","doi":"https://doi.org/10.1145/3846167.3848603","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3846167.3848603","pdf_url":null,"source":{"id":"https://openalex.org/S7407105071","display_name":"ACM Conference on Equity and Access in Algorithms, Mechanisms, and Optimization (EAAMO)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 6th ACM Conference on Equity and Access in Algorithms, Mechanisms, and Optimization","raw_type":"proceedings-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320319880","display_name":"Government of Canada","ror":"https://ror.org/010q4q527"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204931838.pdf","grobid_xml":"https://content.openalex.org/works/W7204931838.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W123929782","https://openalex.org/W2020872892","https://openalex.org/W2121240598","https://openalex.org/W2150409561","https://openalex.org/W2966666069","https://openalex.org/W3029111965","https://openalex.org/W3041274884","https://openalex.org/W3124038879","https://openalex.org/W3176791100","https://openalex.org/W3200797463","https://openalex.org/W3213597988","https://openalex.org/W4200406381","https://openalex.org/W4409364637","https://openalex.org/W4409364721","https://openalex.org/W4415141491","https://openalex.org/W6966831670","https://openalex.org/W7124269903","https://openalex.org/W7162243814"],"related_works":["https://openalex.org/W4287640838","https://openalex.org/W2966666069","https://openalex.org/W7097738637","https://openalex.org/W4409364637","https://openalex.org/W3012103574","https://openalex.org/W3206360018","https://openalex.org/W7118008556","https://openalex.org/W7162243814","https://openalex.org/W2799099710","https://openalex.org/W7202202211"],"abstract_inverted_index":{"We":[0,109,140],"study":[1],"fair":[2],"allocation":[3,29,87,105,170],"of":[4,154],"indivisible":[5],"goods":[6],"under":[7,31,93,127,151,164,182],"additive":[8],"valuations":[9],"and":[10,21,38,46,100,173,180],"matroid":[11,33,144],"constraints.":[12],"A":[13],"challenging":[14],"open":[15],"question":[16,54,82],"is":[17,171],"whether":[18],"a":[19,36,89,94,168],"complete":[20,37,169],"feasible":[22,39],"envy-free":[23],"up":[24],"to":[25,83,116,123,136,147],"one":[26],"good":[27],"(EF1)":[28],"exists":[30],"every":[32],"that":[34,111,159],"admits":[35],"allocation.":[40],"The":[41],"state-of-the-art":[42],"result":[43,60],"by":[44,106],"Biswas":[45],"Barman":[47],"[":[48],"7":[49],"]":[50],"positively":[51,61],"resolves":[52,62],"this":[53,79],"for":[55,64,177],"partition":[56,69],"matroids.":[57,155],"Our":[58,76],"first":[59],"it":[63],"laminar":[65,98,130],"matroids,":[66,70,131],"which":[67],"generalize":[68],"when":[71],"there":[72],"are":[73,134],"three":[74],"agents.":[75],"technique":[77,113],"reduces":[78],"general":[80],"existence":[81,150,175],"finding":[84,124],"an":[85],"EF1":[86,125,149,160],"satisfying":[88],"mild":[90],"additional":[91],"condition":[92],"single":[95],"finite-sized":[96,129],"key":[97],"matroid,":[99],"we":[101,133,157],"establish":[102,137,148],"the":[103,120],"required":[104],"case":[107],"analysis.":[108],"show":[110,158],"our":[112],"somewhat":[114],"extends":[115],"four":[117],"agents,":[118],"reducing":[119],"analogous":[121],"problem":[122],"allocations":[126,161],"two":[128],"although":[132],"unable":[135],"their":[138],"existence.":[139],"also":[141],"use":[142],"recent":[143],"decomposition":[145],"results":[146,176],"broader":[152],"classes":[153],"Specifically,":[156],"always":[162],"exist":[163],"transversal":[165],"matroids":[166,179],"whenever":[167],"feasible,":[172],"obtain":[174],"graphic":[178],"gammoids":[181],"stronger":[183],"assumptions.":[184]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-09-02T00:00:00"}
