{"id":"https://openalex.org/W4387322917","doi":"https://doi.org/10.1007/s10458-026-09760-w","title":"Parameterized complexity of incomplete connected fair division","display_name":"Parameterized complexity of incomplete connected fair division","publication_year":2026,"publication_date":"2026-06-22","ids":{"openalex":"https://openalex.org/W4387322917","doi":"https://doi.org/10.1007/s10458-026-09760-w"},"language":"en","primary_location":{"id":"doi:10.1007/s10458-026-09760-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10458-026-09760-w","pdf_url":null,"source":{"id":"https://openalex.org/S5405189","display_name":"Autonomous Agents and Multi-Agent Systems","issn_l":"1387-2532","issn":["1387-2532","1573-7454"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Autonomous Agents and Multi-Agent Systems","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/s10458-026-09760-w","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077797162","display_name":"Harmender Gahlawat","orcid":"https://orcid.org/0000-0001-7663-6265"},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Harmender Gahlawat","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Delhi, New Delhi, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Delhi, New Delhi, India","institution_ids":["https://openalex.org/I68891433"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082025487","display_name":"Meirav Zehavi","orcid":"https://orcid.org/0000-0002-3636-5322"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Meirav Zehavi","raw_affiliation_strings":["Ben-Gurion University of the Negev, Beersheba, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ben-Gurion University of the Negev, Beersheba, Israel","institution_ids":["https://openalex.org/I124227911"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5077797162"],"corresponding_institution_ids":["https://openalex.org/I68891433"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":{"value":2990,"currency":"USD","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.00132149,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"40","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9976000189781189,"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":0.9976000189781189,"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/T11031","display_name":"Game Theory and Applications","score":0.9747999906539917,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9538000226020813,"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/parameterized-complexity","display_name":"Parameterized complexity","score":0.8873027563095093},{"id":"https://openalex.org/keywords/fair-division","display_name":"Fair division","score":0.8421827554702759},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6364619135856628},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.545263946056366},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.5324652791023254},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5046118497848511},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4524206221103668},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4480913281440735},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44614356756210327},{"id":"https://openalex.org/keywords/vertex-connectivity","display_name":"Vertex connectivity","score":0.4159187972545624},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40200895071029663},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.16025859117507935},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.10380822420120239}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.8873027563095093},{"id":"https://openalex.org/C184659173","wikidata":"https://www.wikidata.org/wiki/Q1511081","display_name":"Fair division","level":2,"score":0.8421827554702759},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6364619135856628},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.545263946056366},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.5324652791023254},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5046118497848511},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4524206221103668},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4480913281440735},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44614356756210327},{"id":"https://openalex.org/C2983226441","wikidata":"https://www.wikidata.org/wiki/Q3115621","display_name":"Vertex connectivity","level":4,"score":0.4159187972545624},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40200895071029663},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.16025859117507935},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.10380822420120239},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10458-026-09760-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10458-026-09760-w","pdf_url":null,"source":{"id":"https://openalex.org/S5405189","display_name":"Autonomous Agents and Multi-Agent Systems","issn_l":"1387-2532","issn":["1387-2532","1573-7454"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Autonomous Agents and Multi-Agent Systems","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2310.01310","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2310.01310","pdf_url":"https://arxiv.org/pdf/2310.01310","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,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:drops-oai.dagstuhl.de:19387","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2023.14","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol284-fsttcs2023/LIPIcs.FSTTCS.2023.14/LIPIcs.FSTTCS.2023.14.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"InProceedings"},{"id":"doi:10.48550/arxiv.2310.01310","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2310.01310","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,"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":"Preprint"},{"id":"doi:10.4230/lipics.fsttcs.2023.14","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.fsttcs.2023.14","pdf_url":null,"source":null,"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":"ConferencePaper"}],"best_oa_location":{"id":"doi:10.1007/s10458-026-09760-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10458-026-09760-w","pdf_url":null,"source":{"id":"https://openalex.org/S5405189","display_name":"Autonomous Agents and Multi-Agent Systems","issn_l":"1387-2532","issn":["1387-2532","1573-7454"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Autonomous Agents and Multi-Agent Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.6899999976158142}],"awards":[],"funders":[{"id":"https://openalex.org/F4320323051","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2730923572","https://openalex.org/W2027381854","https://openalex.org/W3145102893","https://openalex.org/W2985886153","https://openalex.org/W2469602192","https://openalex.org/W1832254459","https://openalex.org/W3124702018","https://openalex.org/W4381247866","https://openalex.org/W4294156424","https://openalex.org/W4233699762"],"abstract_inverted_index":{"Abstract":[0],"Fair":[1,45],"division":[2,54],"of":[3,27,38,52,77,95,108,141,175,217,234],"resources":[4,59],"among":[5],"competing":[6],"agents":[7],"is":[8],"a":[9,74,93,192],"fundamental":[10],"problem":[11],"in":[12,122,237],"computational":[13],"social":[14],"choice":[15],"and":[16,31,34,81,163,210,230],"game":[17],"theory.":[18],"It":[19],"has":[20,70,84],"been":[21],"intensively":[22],"studied":[23],"for":[24,178,196],"various":[25,36],"types":[26],"items":[28],"(":[29,47,101,185,241],"divisible":[30],"indivisible":[32],")":[33],"under":[35,219],"notions":[37,140],"fairness":[39,222],".":[40,66,150,204],"We":[41,91,136],"focus":[42],"on":[43,55],"Connected":[44],"Division":[46],"$$\\textsf{CFD}$$":[48,96,100],"),":[49,103],"the":[50,58,78,109,116,125,173,214,231,238],"variant":[51],"fair":[53],"graphs,":[56],"where":[57,104],"are":[60,127,167],"modeled":[61],"as":[62,132,134],"an":[63],"item":[64,79,83,110,239],"graph":[65,111,240],"Here,":[67],"each":[68,82],"agent":[69],"to":[71,85,88,115,129],"be":[72,86,113,120,130],"assigned":[73,87,114],"connected":[75],"subgraph":[76],"graph,":[80],"some":[89],"agent.":[90],"introduce":[92],"generalization":[94],",":[97,144,146,148,158,162,227,229],"termed":[98],"Incomplete":[99],"$$\\textsf{ICFD}$$":[102,157,161,166,199,218],"exactly":[105],"p":[106,171,203,226],"vertices":[107],"should":[112],"agents.":[117],"This":[118],"might":[119],"useful,":[121],"particular":[123],"when":[124],"allocations":[126],"intended":[128],"\u201ceconomical\u201d":[131],"well":[133],"fair.":[135],"consider":[137],"four":[138,221],"well-known":[139],"fairness:":[142],"$$\\textsf{PROP}$$":[143,197],"$$\\textsf{EF}$$":[145,155],"$$\\textsf{EF1}$$":[147,159],"$$\\textsf{EFX}$$":[149,164],"First,":[151],"we":[152,190,206],"prove":[153,207],"that":[154],"-":[156,160,165,198],"W[1]-hard":[168],"parameterized":[169,200,224],"by":[170,202,225],"plus":[172],"number":[174,184,233],"agents,":[176],"even":[177],"graphs":[179],"having":[180],"constant":[181],"vertex":[182],"cover":[183],"$$\\textsf{vcn}$$":[186,228],").":[187,243],"In":[188],"contrast,":[189],"present":[191],"randomized":[193],"$$\\textsf{FPT}$$":[194],"algorithm":[195],"only":[201],"Additionally,":[205],"both":[208],"positive":[209],"negative":[211],"results":[212],"concerning":[213],"kernelization":[215],"complexity":[216],"all":[220],"notions,":[223],"total":[232],"different":[235],"valuations":[236],"$$\\textsf{val}$$":[242]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-30T17:31:21.811387","created_date":"2023-10-04T00:00:00"}
