{"id":"https://openalex.org/W2112209729","doi":"https://doi.org/10.1016/0097-3165(86)90092-0","title":"On the poset of partitions of an integer","display_name":"On the poset of partitions of an integer","publication_year":1986,"publication_date":"1986-07-01","ids":{"openalex":"https://openalex.org/W2112209729","doi":"https://doi.org/10.1016/0097-3165(86)90092-0","mag":"2112209729"},"language":"en","primary_location":{"id":"doi:10.1016/0097-3165(86)90092-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-3165(86)90092-0","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series A","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055917631","display_name":"G\u00fcnter M. Ziegler","orcid":"https://orcid.org/0000-0003-1502-1915"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"G\u00fcnter M Ziegler","raw_affiliation_strings":["Department of Mathematics, 2-251, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, 2-251, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5055917631"],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":{"value":3320,"currency":"USD","value_usd":3320},"apc_paid":null,"fwci":1.3657,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.79398827,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"42","issue":"2","first_page":"215","last_page":"222"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9969000220298767,"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":0.9969000220298767,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11727","display_name":"Advanced Algebra and Logic","score":0.970300018787384,"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/partially-ordered-set","display_name":"Partially ordered set","score":0.8792684078216553},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7668757438659668},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7452030181884766},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7233642339706421},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6569938063621521},{"id":"https://openalex.org/keywords/sign","display_name":"Sign (mathematics)","score":0.6110889315605164},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5789157748222351},{"id":"https://openalex.org/keywords/star-product","display_name":"Star product","score":0.47291049361228943},{"id":"https://openalex.org/keywords/m\u00f6bius-function","display_name":"M\u00f6bius function","score":0.45222359895706177},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4328065514564514},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10580497980117798},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07791095972061157}],"concepts":[{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.8792684078216553},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7668757438659668},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7452030181884766},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7233642339706421},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6569938063621521},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.6110889315605164},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5789157748222351},{"id":"https://openalex.org/C195800304","wikidata":"https://www.wikidata.org/wiki/Q7601281","display_name":"Star product","level":2,"score":0.47291049361228943},{"id":"https://openalex.org/C2776609879","wikidata":"https://www.wikidata.org/wiki/Q205243","display_name":"M\u00f6bius function","level":2,"score":0.45222359895706177},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4328065514564514},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10580497980117798},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07791095972061157},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0097-3165(86)90092-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-3165(86)90092-0","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series A","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W84695432","https://openalex.org/W1496383623","https://openalex.org/W1982899022","https://openalex.org/W1989116867","https://openalex.org/W2015050395","https://openalex.org/W2020921385","https://openalex.org/W2486762503","https://openalex.org/W4237012419","https://openalex.org/W4243425154","https://openalex.org/W6815558393"],"related_works":["https://openalex.org/W3033029084","https://openalex.org/W4254064397","https://openalex.org/W2957182409","https://openalex.org/W4288282388","https://openalex.org/W3143802155","https://openalex.org/W2789323833","https://openalex.org/W1975173901","https://openalex.org/W61453168","https://openalex.org/W3131828648","https://openalex.org/W143465766"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
