{"id":"https://openalex.org/W4399252650","doi":"https://doi.org/10.1016/j.ejc.2025.104332","title":"A weighted Murnaghan\u2013Nakayama rule for <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" id=\"d1e596\" altimg=\"si5.svg\"> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>P</mml:mi> <mml:mo>,</mml:mo> <mml:mi>\u03c9</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> -partitions","display_name":"A weighted Murnaghan\u2013Nakayama rule for <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" id=\"d1e596\" altimg=\"si5.svg\"> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>P</mml:mi> <mml:mo>,</mml:mo> <mml:mi>\u03c9</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> -partitions","publication_year":2026,"publication_date":"2026-01-12","ids":{"openalex":"https://openalex.org/W4399252650","doi":"https://doi.org/10.1016/j.ejc.2025.104332"},"language":"en","primary_location":{"id":"doi:10.1016/j.ejc.2025.104332","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ejc.2025.104332","pdf_url":null,"source":{"id":"https://openalex.org/S204851967","display_name":"European Journal of Combinatorics","issn_l":"0195-6698","issn":["0195-6698","1095-9971"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Combinatorics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.ejc.2025.104332","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021425607","display_name":"Per Alexandersson","orcid":"https://orcid.org/0000-0003-2176-0554"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Per Alexandersson","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5026746685","display_name":"Olivia Nabawanda","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Olivia Nabawanda","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021425607"],"corresponding_institution_ids":[],"apc_list":{"value":2880,"currency":"USD","value_usd":2880},"apc_paid":{"value":2880,"currency":"USD","value_usd":2880},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00984252,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"134","issue":null,"first_page":"104332","last_page":"104332"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11166","display_name":"Analytic Number Theory Research","score":0.9860000014305115,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42967426776885986},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.429145485162735},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3492409586906433}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42967426776885986},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.429145485162735},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3492409586906433}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/j.ejc.2025.104332","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ejc.2025.104332","pdf_url":null,"source":{"id":"https://openalex.org/S204851967","display_name":"European Journal of Combinatorics","issn_l":"0195-6698","issn":["0195-6698","1095-9971"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2405.19932","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2405.19932","pdf_url":"https://arxiv.org/pdf/2405.19932","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:doi:10.48550/arxiv.2405.19932","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2405.19932","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2405.19932","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1016/j.ejc.2025.104332","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ejc.2025.104332","pdf_url":null,"source":{"id":"https://openalex.org/S204851967","display_name":"European Journal of Combinatorics","issn_l":"0195-6698","issn":["0195-6698","1095-9971"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320325669","display_name":"Stockholms Universitet","ror":"https://ror.org/05f0yaq80"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W3165886586","https://openalex.org/W2834997646","https://openalex.org/W3136474611","https://openalex.org/W4320168735","https://openalex.org/W3031125520","https://openalex.org/W3022154260","https://openalex.org/W1659648688","https://openalex.org/W3006773147","https://openalex.org/W2094938771","https://openalex.org/W2323253776","https://openalex.org/W1964902440","https://openalex.org/W3206481762"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"The":[0],"$(P,":[1,52],"w)$-partition":[2],"generating":[3],"function":[4,9,34],"$K_{(P,w)}(x)$":[5,26],"is":[6],"a":[7,12,20,56],"quasisymmetric":[8,31],"obtained":[10],"from":[11],"labeled":[13],"poset.":[14],"Recently,":[15],"Liu":[16],"and":[17,54],"Weselcouch":[18],"gave":[19],"formula":[21,37],"for":[22,43],"the":[23,30,39,61],"coefficients":[24],"of":[25],"when":[27],"expanded":[28],"in":[29],"power":[32],"sum":[33],"basis.":[35],"This":[36],"generalizes":[38],"classical":[40],"Murnaghan--Nakayama":[41],"rule":[42],"Schur":[44],"functions.":[45],"We":[46],"extend":[47],"this":[48],"result":[49],"to":[50],"weighted":[51],"w)$-partitions":[53],"provide":[55],"short":[57],"combinatorial":[58],"proof,":[59],"avoiding":[60],"Hopf":[62],"algebra":[63],"machinery":[64],"used":[65],"by":[66],"Liu--Weselcouch.":[67]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2024-06-01T00:00:00"}
