{"id":"https://openalex.org/W1592812723","doi":"https://doi.org/10.37236/3890","title":"Evaluating the Numbers of some Skew Standard Young Tableaux of Truncated Shapes","display_name":"Evaluating the Numbers of some Skew Standard Young Tableaux of Truncated Shapes","publication_year":2015,"publication_date":"2015-01-02","ids":{"openalex":"https://openalex.org/W1592812723","doi":"https://doi.org/10.37236/3890","mag":"1592812723"},"language":"en","primary_location":{"id":"doi:10.37236/3890","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3890","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i1p2/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i1p2/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051402679","display_name":"Ping Sun","orcid":"https://orcid.org/0000-0002-8491-7507"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ping Sun","raw_affiliation_strings":["Northeastern University, P.R.China",", Northeastern University, , P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Northeastern University, P.R.China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":", Northeastern University, , P. R. China","institution_ids":["https://openalex.org/I9224756"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5051402679"],"corresponding_institution_ids":["https://openalex.org/I9224756"],"apc_list":null,"apc_paid":null,"fwci":3.2906,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.90080499,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"22","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9997000098228455,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.8648900985717773},{"id":"https://openalex.org/keywords/skew","display_name":"Skew","score":0.8231241106987},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8018366098403931},{"id":"https://openalex.org/keywords/backslash","display_name":"Backslash","score":0.7562887668609619},{"id":"https://openalex.org/keywords/rectangle","display_name":"Rectangle","score":0.7488399744033813},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.6109867095947266},{"id":"https://openalex.org/keywords/young-tableau","display_name":"Young tableau","score":0.4524768590927124},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2114349603652954},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06428569555282593}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8648900985717773},{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.8231241106987},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8018366098403931},{"id":"https://openalex.org/C2780345915","wikidata":"https://www.wikidata.org/wiki/Q11185","display_name":"Backslash","level":2,"score":0.7562887668609619},{"id":"https://openalex.org/C2781302577","wikidata":"https://www.wikidata.org/wiki/Q209","display_name":"Rectangle","level":2,"score":0.7488399744033813},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.6109867095947266},{"id":"https://openalex.org/C165368118","wikidata":"https://www.wikidata.org/wiki/Q2166280","display_name":"Young tableau","level":2,"score":0.4524768590927124},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2114349603652954},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06428569555282593},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/3890","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3890","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i1p2/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.676.1126","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.676.1126","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.combinatorics.org/ojs/index.php/eljc/article/viewFile/v22i1p2/pdf/","raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/3890","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3890","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i1p2/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1592812723.pdf","grobid_xml":"https://content.openalex.org/works/W1592812723.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1979423085","https://openalex.org/W2033422930","https://openalex.org/W2050039992","https://openalex.org/W2069842320","https://openalex.org/W2162537444","https://openalex.org/W2314376244","https://openalex.org/W2531858004","https://openalex.org/W2914659449","https://openalex.org/W2952983412","https://openalex.org/W2992881378","https://openalex.org/W4243203269","https://openalex.org/W4384817650","https://openalex.org/W6699092542","https://openalex.org/W6724818412"],"related_works":["https://openalex.org/W2582558875","https://openalex.org/W4293003566","https://openalex.org/W1987461188","https://openalex.org/W2952909277","https://openalex.org/W4297311513","https://openalex.org/W3193656016","https://openalex.org/W1618488896","https://openalex.org/W2038154027","https://openalex.org/W2950548786","https://openalex.org/W1592812723"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"the":[3,13,23,27,37,52,65],"number":[4],"of":[5,15,26,29,32,55,67],"standard":[6],"Young":[7],"tableaux":[8],"(SYT)":[9],"is":[10],"evaluated":[11],"by":[12,45],"methods":[14],"multiple":[16],"integrals":[17],"and":[18,64],"combinatorial":[19],"summations.":[20],"We":[21],"obtain":[22],"product":[24],"formulas":[25],"numbers":[28],"skew":[30,38,53],"SYT":[31,39,54,66],"certain":[33],"truncated":[34,44,56,68],"shapes,":[35],"including":[36],"$((n+k)^{r+1},n^{m-1})":[40],"/":[41,59],"(n-1)^r":[42],"$":[43],"a":[46,50],"rectangle":[47],"or":[48],"nearly":[49],"rectangle,":[51],"shape":[57,69],"$((n+1)^3,n^{m-2})":[58],"(n-2)":[60],"\\backslash":[61,71],"\\;":[62,72],"(2^2)$,":[63],"$((n+1)^2,n^{m-2})":[70],"(2)$.":[73]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
