{"id":"https://openalex.org/W4311131004","doi":"https://doi.org/10.1007/s00453-022-01079-8","title":"Fair Allocation of Indivisible Items with Conflict Graphs","display_name":"Fair Allocation of Indivisible Items with Conflict Graphs","publication_year":2022,"publication_date":"2022-12-12","ids":{"openalex":"https://openalex.org/W4311131004","doi":"https://doi.org/10.1007/s00453-022-01079-8"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-022-01079-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-022-01079-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-022-01079-8.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00453-022-01079-8.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033128602","display_name":"Nina Chiarelli","orcid":"https://orcid.org/0000-0002-8169-0925"},"institutions":[{"id":"https://openalex.org/I118905719","display_name":"University of Primorska","ror":"https://ror.org/05xefg082","country_code":"SI","type":"education","lineage":["https://openalex.org/I118905719"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Nina Chiarelli","raw_affiliation_strings":["FAMNIT and IAM, University of Primorska, Koper, Slovenia"],"affiliations":[{"raw_affiliation_string":"FAMNIT and IAM, University of Primorska, Koper, Slovenia","institution_ids":["https://openalex.org/I118905719"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027555306","display_name":"Matja\u017e Krnc","orcid":"https://orcid.org/0000-0002-4960-8901"},"institutions":[{"id":"https://openalex.org/I118905719","display_name":"University of Primorska","ror":"https://ror.org/05xefg082","country_code":"SI","type":"education","lineage":["https://openalex.org/I118905719"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Matja\u017e Krnc","raw_affiliation_strings":["FAMNIT and IAM, University of Primorska, Koper, Slovenia"],"affiliations":[{"raw_affiliation_string":"FAMNIT and IAM, University of Primorska, Koper, Slovenia","institution_ids":["https://openalex.org/I118905719"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027970574","display_name":"Martin Milani\u010d","orcid":"https://orcid.org/0000-0002-8222-8097"},"institutions":[{"id":"https://openalex.org/I118905719","display_name":"University of Primorska","ror":"https://ror.org/05xefg082","country_code":"SI","type":"education","lineage":["https://openalex.org/I118905719"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Martin Milani\u010d","raw_affiliation_strings":["FAMNIT and IAM, University of Primorska, Koper, Slovenia"],"affiliations":[{"raw_affiliation_string":"FAMNIT and IAM, University of Primorska, Koper, Slovenia","institution_ids":["https://openalex.org/I118905719"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069744603","display_name":"Ulrich Pferschy","orcid":"https://orcid.org/0000-0001-8881-1497"},"institutions":[{"id":"https://openalex.org/I15766117","display_name":"University of Graz","ror":"https://ror.org/01faaaf77","country_code":"AT","type":"education","lineage":["https://openalex.org/I15766117"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Ulrich Pferschy","raw_affiliation_strings":["University of Graz, Graz, Austria"],"affiliations":[{"raw_affiliation_string":"University of Graz, Graz, Austria","institution_ids":["https://openalex.org/I15766117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058610742","display_name":"Nevena Piva\u010d","orcid":null},"institutions":[{"id":"https://openalex.org/I118905719","display_name":"University of Primorska","ror":"https://ror.org/05xefg082","country_code":"SI","type":"education","lineage":["https://openalex.org/I118905719"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Nevena Piva\u010d","raw_affiliation_strings":["FAMNIT and IAM, University of Primorska, Koper, Slovenia"],"affiliations":[{"raw_affiliation_string":"FAMNIT and IAM, University of Primorska, Koper, Slovenia","institution_ids":["https://openalex.org/I118905719"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061614451","display_name":"Joachim Schauer","orcid":"https://orcid.org/0000-0002-2268-0612"},"institutions":[{"id":"https://openalex.org/I103365165","display_name":"FH JOANNEUM University of Applied Sciences","ror":"https://ror.org/03kkbqm48","country_code":"AT","type":"education","lineage":["https://openalex.org/I103365165"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Joachim Schauer","raw_affiliation_strings":["FH JOANNEUM, Kapfenberg, Austria"],"affiliations":[{"raw_affiliation_string":"FH JOANNEUM, Kapfenberg, Austria","institution_ids":["https://openalex.org/I103365165"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5069744603"],"corresponding_institution_ids":["https://openalex.org/I15766117"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.6035,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.71607273,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"85","issue":"5","first_page":"1459","last_page":"1489"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9983999729156494,"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":0.9983999729156494,"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/T12288","display_name":"Optimization and Search Problems","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9902999997138977,"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/combinatorics","display_name":"Combinatorics","score":0.6822779178619385},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.6525184512138367},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.588578999042511},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.5434778332710266},{"id":"https://openalex.org/keywords/treewidth","display_name":"Treewidth","score":0.5386466979980469},{"id":"https://openalex.org/keywords/cograph","display_name":"Cograph","score":0.5291115641593933},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5225407481193542},{"id":"https://openalex.org/keywords/independent-set","display_name":"Independent set","score":0.5083748698234558},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.4979522228240967},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"Graph coloring","score":0.4925249516963959},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.47891104221343994},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.44816187024116516},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.44638702273368835},{"id":"https://openalex.org/keywords/maximal-independent-set","display_name":"Maximal independent set","score":0.4385235905647278},{"id":"https://openalex.org/keywords/partial-k-tree","display_name":"Partial k-tree","score":0.41259002685546875},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.3287120461463928},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.29989832639694214}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6822779178619385},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.6525184512138367},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.588578999042511},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5434778332710266},{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.5386466979980469},{"id":"https://openalex.org/C59824394","wikidata":"https://www.wikidata.org/wiki/Q5141281","display_name":"Cograph","level":5,"score":0.5291115641593933},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5225407481193542},{"id":"https://openalex.org/C122818955","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independent set","level":3,"score":0.5083748698234558},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.4979522228240967},{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.4925249516963959},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.47891104221343994},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.44816187024116516},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.44638702273368835},{"id":"https://openalex.org/C18359143","wikidata":"https://www.wikidata.org/wiki/Q7888149","display_name":"Maximal independent set","level":5,"score":0.4385235905647278},{"id":"https://openalex.org/C128764233","wikidata":"https://www.wikidata.org/wiki/Q7140374","display_name":"Partial k-tree","level":5,"score":0.41259002685546875},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.3287120461463928},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.29989832639694214}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00453-022-01079-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-022-01079-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-022-01079-8.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","raw_type":"journal-article"},{"id":"pmh:oai:epub.fh-joanneum.at:11455479","is_oa":true,"landing_page_url":"https://epub.fh-joanneum.at/doi/10.1007/s00453-022-01079-8","pdf_url":"https://epub.fh-joanneum.at/obvfhjoa/content/titleinfo/11455479/full.pdf","source":{"id":"https://openalex.org/S7407055160","display_name":"FH JOANNEUM ePUB","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":null,"raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1007/s00453-022-01079-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-022-01079-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-022-01079-8.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1100618297","display_name":null,"funder_award_id":"P1-0404, P1-0285, P1-0383, N1-0102, N1-0160, N1-0210, J1-3001, J1-3002, J1-3003, J1-4008, J5-4596","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G1414227727","display_name":null,"funder_award_id":"J1-3002","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G2127103751","display_name":null,"funder_award_id":"Colibri","funder_id":"https://openalex.org/F4320325582","funder_display_name":"Karl-Franzens-Universit\u00e4t Graz"},{"id":"https://openalex.org/G2228634070","display_name":null,"funder_award_id":"FIT4BA","funder_id":"https://openalex.org/F4320327593","funder_display_name":"Bundesministerium f\u00fcr Digitalisierung und Wirtschaftsstandort"},{"id":"https://openalex.org/G2400608947","display_name":null,"funder_award_id":"J1-4008","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G2439551750","display_name":null,"funder_award_id":"P1-0404","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G2483106067","display_name":null,"funder_award_id":"N1-0160","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G3062361059","display_name":null,"funder_award_id":"P1-0383","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G3094758811","display_name":null,"funder_award_id":"Grant Agreement #739574","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3281887606","display_name":null,"funder_award_id":"J5-4596","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G3501631465","display_name":null,"funder_award_id":"39574","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3875748329","display_name":null,"funder_award_id":"European Regional Development Fund","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3992360688","display_name":null,"funder_award_id":"I0-0035","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G4498193708","display_name":null,"funder_award_id":"1/2020","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G5002465969","display_name":null,"funder_award_id":"J1-3001","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G5059569457","display_name":null,"funder_award_id":"SI 31/2020","funder_id":"https://openalex.org/F4320323163","funder_display_name":"OeAD-GmbH"},{"id":"https://openalex.org/G5460322175","display_name":null,"funder_award_id":"739574","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G6142002709","display_name":null,"funder_award_id":"N1-0210","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G6900569512","display_name":null,"funder_award_id":"SI 22/2018","funder_id":"https://openalex.org/F4320323163","funder_display_name":"OeAD-GmbH"},{"id":"https://openalex.org/G6941451303","display_name":null,"funder_award_id":"N1-0102","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G7121946571","display_name":null,"funder_award_id":"J1-3003","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G7888027859","display_name":null,"funder_award_id":"BI-AT/18-19-005","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G8051717526","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8164052972","display_name":null,"funder_award_id":"#739574","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8170149473","display_name":null,"funder_award_id":"739574","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8318064016","display_name":null,"funder_award_id":"Horizon","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8447924143","display_name":null,"funder_award_id":"P1-0285","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G8538941428","display_name":null,"funder_award_id":"Regional Development Fund","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8570012161","display_name":null,"funder_award_id":"unknown","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G8574698534","display_name":null,"funder_award_id":"739574","funder_id":"https://openalex.org/F4320337665","funder_display_name":"H2020 Spreading Excellence and Widening Participation"},{"id":"https://openalex.org/G8967730575","display_name":null,"funder_award_id":"BI-AT/20-21-015","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320322554","display_name":"Javna Agencija za Raziskovalno Dejavnost RS","ror":"https://ror.org/059bp8k51"},{"id":"https://openalex.org/F4320323163","display_name":"OeAD-GmbH","ror":"https://ror.org/05y9csv14"},{"id":"https://openalex.org/F4320325582","display_name":"Karl-Franzens-Universit\u00e4t Graz","ror":"https://ror.org/01faaaf77"},{"id":"https://openalex.org/F4320327593","display_name":"Bundesministerium f\u00fcr Digitalisierung und Wirtschaftsstandort","ror":null},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320337665","display_name":"H2020 Spreading Excellence and Widening Participation","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4311131004.pdf","grobid_xml":"https://content.openalex.org/works/W4311131004.grobid-xml"},"referenced_works_count":61,"referenced_works":["https://openalex.org/W120805923","https://openalex.org/W639947448","https://openalex.org/W785692200","https://openalex.org/W820387210","https://openalex.org/W1542025417","https://openalex.org/W1579049696","https://openalex.org/W1931202475","https://openalex.org/W1977563107","https://openalex.org/W1978593916","https://openalex.org/W1985260677","https://openalex.org/W1994038277","https://openalex.org/W1996889656","https://openalex.org/W2000840218","https://openalex.org/W2011643166","https://openalex.org/W2013937449","https://openalex.org/W2014287896","https://openalex.org/W2028357390","https://openalex.org/W2048947076","https://openalex.org/W2050524721","https://openalex.org/W2051856222","https://openalex.org/W2059372025","https://openalex.org/W2060645964","https://openalex.org/W2062221600","https://openalex.org/W2064796716","https://openalex.org/W2068859584","https://openalex.org/W2069988159","https://openalex.org/W2087547812","https://openalex.org/W2090354123","https://openalex.org/W2095794917","https://openalex.org/W2098362962","https://openalex.org/W2100440346","https://openalex.org/W2113280143","https://openalex.org/W2116638623","https://openalex.org/W2123976299","https://openalex.org/W2133097277","https://openalex.org/W2139759040","https://openalex.org/W2140043891","https://openalex.org/W2168581227","https://openalex.org/W2410078569","https://openalex.org/W2499626972","https://openalex.org/W2610183793","https://openalex.org/W2618715850","https://openalex.org/W2748096547","https://openalex.org/W2787109037","https://openalex.org/W2795452868","https://openalex.org/W2914169547","https://openalex.org/W2914414140","https://openalex.org/W2950941888","https://openalex.org/W2963680523","https://openalex.org/W2965619982","https://openalex.org/W2974291437","https://openalex.org/W2974558510","https://openalex.org/W3032829168","https://openalex.org/W3045117486","https://openalex.org/W3094989159","https://openalex.org/W3145017027","https://openalex.org/W3162383213","https://openalex.org/W4211082341","https://openalex.org/W4214513113","https://openalex.org/W4246219036","https://openalex.org/W4283710936"],"related_works":["https://openalex.org/W1539278744","https://openalex.org/W2091382007","https://openalex.org/W4378498857","https://openalex.org/W63807318","https://openalex.org/W2898526288","https://openalex.org/W2955903066","https://openalex.org/W4225972719","https://openalex.org/W3212051020","https://openalex.org/W2886071965","https://openalex.org/W4286287454"],"abstract_inverted_index":{"Abstract":[0],"We":[1,138],"consider":[2],"the":[3,57,62,70,91,94,105,132,135,141,159,176],"fair":[4,86],"allocation":[5,58],"of":[6,30,35,41,59,69,93,98,104,134,161,171,175],"indivisible":[7],"items":[8,31,42,60,99],"to":[9,18,44,48,61,65,101],"several":[10],"agents":[11,63],"and":[12,117,127,149,153,169],"add":[13],"a":[14,36,66,85,184],"graph":[15],"theoretical":[16],"perspective":[17],"this":[19,54],"classical":[20],"problem.":[21],"Namely,":[22],"we":[23,124],"introduce":[24],"an":[25,50],"incompatibility":[26],"relation":[27],"between":[28],"pairs":[29],"described":[32],"in":[33,53,155],"terms":[34],"conflict":[37,71],"graph.":[38,55,72,137],"Every":[39,73],"subset":[40],"assigned":[43],"one":[45,103],"agent":[46,74],"has":[47,75],"form":[49],"independent":[51],"set":[52],"Thus,":[56],"corresponds":[64],"partial":[67],"coloring":[68],"its":[76],"own":[77],"profit":[78,97],"valuation":[79],"for":[80,146,158],"every":[81],"item.":[82],"Aiming":[83],"at":[84],"allocation,":[87],"our":[88,122],"goal":[89],"is":[90,143],"maximization":[92],"lowest":[95],"total":[96],"allocated":[100],"any":[102],"agents.":[106],"The":[107],"resulting":[108],"optimization":[109],"problem":[110,142],"contains,":[111],"as":[112],"special":[113],"cases,":[114],"both":[115],"Partition":[116],"Independent":[118],"Set":[119],".":[120],"In":[121],"contribution":[123],"derive":[125],"complexity":[126],"algorithmic":[128],"results":[129],"depending":[130],"on":[131],"properties":[133],"given":[136],"show":[139],"that":[140],"strongly":[144],"NP-hard":[145],"bipartite":[147,167],"graphs":[148,170],"their":[150],"line":[151],"graphs,":[152,163,165,168],"solvable":[154],"pseudo-polynomial":[156,177],"time":[157],"classes":[160],"chordal":[162],"cocomparability":[164],"biconvex":[166],"bounded":[172],"treewidth.":[173],"Each":[174],"algorithms":[178],"can":[179],"also":[180],"be":[181],"turned":[182],"into":[183],"fully":[185],"polynomial":[186],"approximation":[187],"scheme":[188],"(FPTAS).":[189]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
