{"id":"https://openalex.org/W1981781893","doi":"https://doi.org/10.1016/s0195-6698(83)80008-0","title":"A Bijective Proof of the Hook Formula for the Number of Column Strict Tableaux with Bounded Entries","display_name":"A Bijective Proof of the Hook Formula for the Number of Column Strict Tableaux with Bounded Entries","publication_year":1983,"publication_date":"1983-03-01","ids":{"openalex":"https://openalex.org/W1981781893","doi":"https://doi.org/10.1016/s0195-6698(83)80008-0","mag":"1981781893"},"language":"en","primary_location":{"id":"doi:10.1016/s0195-6698(83)80008-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0195-6698(83)80008-0","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Combinatorics","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/A5113511227","display_name":"Jeffrey B. Remmel","orcid":null},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jeffrey B. Remmel","raw_affiliation_strings":["Department of Mathematics, University of California, San Diego, La Jolla, California 92093, U.S.A","Department of Mathematics , University of California , San diego, La jolla, California, 92093, U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, San Diego, La Jolla, California 92093, U.S.A","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Department of Mathematics , University of California , San diego, La jolla, California, 92093, U.S.A","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109225506","display_name":"Roger Whitney","orcid":null},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Roger Whitney","raw_affiliation_strings":["Department of Mathematics, University of California, San Diego, La Jolla, California 92093, U.S.A","Department of Mathematics , University of California , San diego, La jolla, California, 92093, U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, San Diego, La Jolla, California 92093, U.S.A","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Department of Mathematics , University of California , San diego, La jolla, California, 92093, U.S.A","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5113511227"],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":{"value":2880,"currency":"USD","value_usd":2880},"apc_paid":null,"fwci":2.9697,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.89927007,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"4","issue":"1","first_page":"45","last_page":"63"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998000264167786,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9975000023841858,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9861999750137329,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/bijection","display_name":"Bijection","score":0.8990663290023804},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8813972473144531},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8314226269721985},{"id":"https://openalex.org/keywords/hook","display_name":"Hook","score":0.7876333594322205},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7779146432876587},{"id":"https://openalex.org/keywords/generating-function","display_name":"Generating function","score":0.6086949110031128},{"id":"https://openalex.org/keywords/column","display_name":"Column (typography)","score":0.4726014733314514},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43971022963523865},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3679999113082886},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.10928747057914734}],"concepts":[{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.8990663290023804},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8813972473144531},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8314226269721985},{"id":"https://openalex.org/C2777586403","wikidata":"https://www.wikidata.org/wiki/Q4243098","display_name":"Hook","level":2,"score":0.7876333594322205},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7779146432876587},{"id":"https://openalex.org/C204911207","wikidata":"https://www.wikidata.org/wiki/Q860609","display_name":"Generating function","level":2,"score":0.6086949110031128},{"id":"https://openalex.org/C2780551164","wikidata":"https://www.wikidata.org/wiki/Q2306599","display_name":"Column (typography)","level":3,"score":0.4726014733314514},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43971022963523865},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3679999113082886},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.10928747057914734},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0195-6698(83)80008-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0195-6698(83)80008-0","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Combinatorics","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":9,"referenced_works":["https://openalex.org/W1556588106","https://openalex.org/W1996722137","https://openalex.org/W2030568854","https://openalex.org/W2070687845","https://openalex.org/W2077309624","https://openalex.org/W2134984950","https://openalex.org/W2607200564","https://openalex.org/W2918018314","https://openalex.org/W6669569285"],"related_works":["https://openalex.org/W1778373356","https://openalex.org/W4309131384","https://openalex.org/W2048655899","https://openalex.org/W2950049363","https://openalex.org/W4386833582","https://openalex.org/W2292001013","https://openalex.org/W2794199602","https://openalex.org/W2982742402","https://openalex.org/W4295664471","https://openalex.org/W3104234753"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}