{"id":"https://openalex.org/W4415428005","doi":"https://doi.org/10.3233/faia251271","title":"On Approximate MMS Allocations on Restricted Graph Classes","display_name":"On Approximate MMS Allocations on Restricted Graph Classes","publication_year":2025,"publication_date":"2025-10-21","ids":{"openalex":"https://openalex.org/W4415428005","doi":"https://doi.org/10.3233/faia251271"},"language":null,"primary_location":{"id":"doi:10.3233/faia251271","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia251271","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/faia251271","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040350131","display_name":"V\u00e1clav Bla\u017eej","orcid":"https://orcid.org/0000-0001-9165-6280"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"V\u00e1clav Bla\u017eej","raw_affiliation_strings":["University of Warsaw"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Warsaw","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066501857","display_name":"Micha\u0142 D\u0119bski","orcid":"https://orcid.org/0000-0001-9606-6052"},"institutions":[{"id":"https://openalex.org/I108403487","display_name":"Warsaw University of Technology","ror":"https://ror.org/00y0xnp53","country_code":"PL","type":"education","lineage":["https://openalex.org/I108403487"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Micha\u0142 D\u0119bski","raw_affiliation_strings":["Warsaw University of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Warsaw University of Technology","institution_ids":["https://openalex.org/I108403487"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079578242","display_name":"Zbigniew Lonc","orcid":"https://orcid.org/0000-0001-6650-6774"},"institutions":[{"id":"https://openalex.org/I108403487","display_name":"Warsaw University of Technology","ror":"https://ror.org/00y0xnp53","country_code":"PL","type":"education","lineage":["https://openalex.org/I108403487"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Zbigniew Lonc","raw_affiliation_strings":["Warsaw University of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Warsaw University of Technology","institution_ids":["https://openalex.org/I108403487"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047929302","display_name":"Marta Piecyk","orcid":"https://orcid.org/0000-0001-9162-8300"},"institutions":[{"id":"https://openalex.org/I4210128801","display_name":"Helmholtz Center for Information Security","ror":"https://ror.org/02njgxr09","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I4210128801"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marta Piecyk","raw_affiliation_strings":["CISPA Helmholtz Center for Information Security"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CISPA Helmholtz Center for Information Security","institution_ids":["https://openalex.org/I4210128801"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047941027","display_name":"Pawe\u0142 Rz\u0105\u017cewski","orcid":"https://orcid.org/0000-0001-7696-3848"},"institutions":[{"id":"https://openalex.org/I108403487","display_name":"Warsaw University of Technology","ror":"https://ror.org/00y0xnp53","country_code":"PL","type":"education","lineage":["https://openalex.org/I108403487"]},{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Pawe\u0142 Rz\u0105\u017cewski","raw_affiliation_strings":["University of Warsaw","Warsaw University of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Warsaw","institution_ids":["https://openalex.org/I4654613"]},{"raw_affiliation_string":"Warsaw University of Technology","institution_ids":["https://openalex.org/I108403487"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.6128264,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9128999710083008,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9128999710083008,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.6499999761581421},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5358999967575073},{"id":"https://openalex.org/keywords/fair-division","display_name":"Fair division","score":0.4984999895095825},{"id":"https://openalex.org/keywords/bundle","display_name":"Bundle","score":0.45890000462532043},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.38029998540878296},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.35519999265670776},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.33379998803138733}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6549999713897705},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.6499999761581421},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6152999997138977},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5358999967575073},{"id":"https://openalex.org/C184659173","wikidata":"https://www.wikidata.org/wiki/Q1511081","display_name":"Fair division","level":2,"score":0.4984999895095825},{"id":"https://openalex.org/C2778134712","wikidata":"https://www.wikidata.org/wiki/Q1047307","display_name":"Bundle","level":2,"score":0.45890000462532043},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39559999108314514},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.38029998540878296},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.35519999265670776},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.33379998803138733},{"id":"https://openalex.org/C166733315","wikidata":"https://www.wikidata.org/wiki/Q6934831","display_name":"Multipartite","level":4,"score":0.32919999957084656},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.3122999966144562},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.2962000072002411},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.2842999994754791},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.2838999927043915},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.2734000086784363},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.2732999920845032},{"id":"https://openalex.org/C193435613","wikidata":"https://www.wikidata.org/wiki/Q2997928","display_name":"Connected component","level":2,"score":0.2662999927997589},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.2653000056743622}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/faia251271","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia251271","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/faia251271","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia251271","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,44],"study":[1,162],"the":[2,20,36,47,73,107,112,150,160,164],"problem":[3,145],"of":[4,7,10,26,32,41,52,75,81,97,106,121,152,163,166],"fair":[5],"division":[6],"a":[8,27,94,103],"set":[9],"indivisible":[11],"goods":[12,21,33,76,98],"with":[13,99],"connectivity":[14,69],"constraints.":[15],"Specifically,":[16],"we":[17,158,175],"assume":[18],"that":[19,58,90,117,177],"are":[22,38],"represented":[23],"as":[24,124],"vertices":[25],"connected":[28,39,95],"graph,":[29],"and":[30,128,192],"sets":[31],"allocated":[34],"to":[35,86,111],"agents":[37],"subgraphs":[40],"this":[42,62,156],"graph.":[43],"focus":[45],"on":[46,169],"widely-studied":[48],"maximin":[49,108],"share":[50,109],"criterion":[51,63],"fairness.":[53],"It":[54,114],"has":[55],"been":[56],"shown":[57],"an":[59,143],"allocation":[60],"satisfying":[61],"may":[64],"not":[65],"exist":[66,148,180],"even":[67],"without":[68],"constraints,":[70],"i.e.,":[71],"if":[72],"graph":[74,171],"is":[77,84,115,142],"complete.":[78],"In":[79,155,173],"view":[80],"this,":[82],"it":[83,141],"natural":[85],"seek":[87],"approximate":[88,136,167],"allocations":[89,137,168,179],"guarantee":[91],"each":[92],"agent":[93],"bundle":[96],"value":[100,110],"at":[101],"least":[102],"constant":[104],"fraction":[105],"agent.":[113],"known":[116],"for":[118,131,149,181],"some":[119],"classes":[120],"graphs,":[122,126,187,191],"such":[123,135,178],"complete":[125,189],"cycles,":[127],"d-claw-free":[129],"graphs":[130],"any":[132],"fixed":[133],"d,":[134],"indeed":[138],"exist.":[139],"However,":[140],"open":[144],"whether":[146],"they":[147],"class":[151],"all":[153],"graphs.":[154,194],"paper,":[157],"continue":[159],"systematic":[161],"existence":[165],"restricted":[170],"classes.":[172],"particular,":[174],"show":[176],"several":[182],"well-studied":[183],"classes,":[184],"including":[185],"block":[186],"cacti,":[188],"multipartite":[190],"split":[193]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-24T00:00:00"}
