{"id":"https://openalex.org/W2053694103","doi":"https://doi.org/10.1142/s0218196708004688","title":"H-POLYNOMIALS AND ROOK POLYNOMIALS","display_name":"H-POLYNOMIALS AND ROOK POLYNOMIALS","publication_year":2008,"publication_date":"2008-08-01","ids":{"openalex":"https://openalex.org/W2053694103","doi":"https://doi.org/10.1142/s0218196708004688","mag":"2053694103"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196708004688","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196708004688","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","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/A5036635471","display_name":"Mahir Bilen Can","orcid":"https://orcid.org/0000-0002-0175-4897"},"institutions":[{"id":"https://openalex.org/I114832834","display_name":"Tulane University","ror":"https://ror.org/04vmvtb21","country_code":"US","type":"education","lineage":["https://openalex.org/I114832834"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"MAHIR BILEN CAN","raw_affiliation_strings":["Department of Mathematics, Tulane University, 6823 St. Charles Avenue, New Orleans, LA 70118, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tulane University, 6823 St. Charles Avenue, New Orleans, LA 70118, USA","institution_ids":["https://openalex.org/I114832834"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037205558","display_name":"Lex E. Renner","orcid":null},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"LEX E. RENNER","raw_affiliation_strings":["Department of Mathematics, Middlesex College, University of Western Ontario, London, Ontario N6A 5B7, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Middlesex College, University of Western Ontario, London, Ontario N6A 5B7, Canada","institution_ids":["https://openalex.org/I125749732"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036635471"],"corresponding_institution_ids":["https://openalex.org/I114832834"],"apc_list":null,"apc_paid":null,"fwci":0.5138,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.63746883,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"18","issue":"05","first_page":"935","last_page":"949"},"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9983999729156494,"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"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9980000257492065,"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":0.8518056869506836},{"id":"https://openalex.org/keywords/monoid","display_name":"Monoid","score":0.787468671798706},{"id":"https://openalex.org/keywords/macdonald-polynomials","display_name":"Macdonald polynomials","score":0.5971826314926147},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5592813491821289},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5573955178260803},{"id":"https://openalex.org/keywords/difference-polynomials","display_name":"Difference polynomials","score":0.43186497688293457},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34109172224998474},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.33501487970352173},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33316731452941895},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.31669795513153076}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8518056869506836},{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.787468671798706},{"id":"https://openalex.org/C171686973","wikidata":"https://www.wikidata.org/wiki/Q17098676","display_name":"Macdonald polynomials","level":4,"score":0.5971826314926147},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5592813491821289},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5573955178260803},{"id":"https://openalex.org/C86607863","wikidata":"https://www.wikidata.org/wiki/Q5275279","display_name":"Difference polynomials","level":3,"score":0.43186497688293457},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34109172224998474},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.33501487970352173},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33316731452941895},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31669795513153076},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196708004688","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196708004688","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1515679419","https://openalex.org/W1563433788","https://openalex.org/W1584561919","https://openalex.org/W1776608909","https://openalex.org/W1970658901","https://openalex.org/W1982351435","https://openalex.org/W1989987267","https://openalex.org/W1994295709","https://openalex.org/W2012831754","https://openalex.org/W2027534442","https://openalex.org/W2038169558","https://openalex.org/W2062464706","https://openalex.org/W2077148545","https://openalex.org/W2078984934","https://openalex.org/W2086197284","https://openalex.org/W2477195016"],"related_works":["https://openalex.org/W2051848833","https://openalex.org/W2954649588","https://openalex.org/W2168893271","https://openalex.org/W2132314122","https://openalex.org/W2070537393","https://openalex.org/W1997096699","https://openalex.org/W1991484205","https://openalex.org/W3007270577","https://openalex.org/W4287241472","https://openalex.org/W2964158675"],"abstract_inverted_index":{"The":[0],"purpose":[1],"of":[2,17,29,32,39,42,46],"this":[3,23],"paper":[4],"is":[5],"twofold.":[6],"First":[7],"we":[8,21],"describe":[9],"a":[10],"useful":[11],"procedure":[12,24],"for":[13],"computing":[14],"the":[15,27,30,40,43],"H-polynomials":[16],"reductive":[18],"monoids.":[19],"Second":[20],"use":[22],"to":[25],"compute":[26],"H-polynomial":[28],"monoid":[31],"n":[33,35],"\u00d7":[34],"matrices":[36],"in":[37],"terms":[38],"q-analogues":[41],"rook":[44],"polynomials":[45],"Garsia":[47],"and":[48],"Remmel.":[49]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}