{"id":"https://openalex.org/W2992482407","doi":"https://doi.org/10.37236/1261","title":"Ordres Bipartitionnaires et Statistiques sur les Mots","display_name":"Ordres Bipartitionnaires et Statistiques sur les Mots","publication_year":1995,"publication_date":"1995-03-28","ids":{"openalex":"https://openalex.org/W2992482407","doi":"https://doi.org/10.37236/1261","mag":"2992482407"},"language":"fr","primary_location":{"id":"doi:10.37236/1261","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1261","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v3i2r3/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":false,"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":null,"license_id":null,"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":"bronze","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v3i2r3/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102146301","display_name":"Guo-Niu Han","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Guo-Niu Han","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102146301"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2139,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.88339552,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"3","issue":"2","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":0.9692999720573425,"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":0.9692999720573425,"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/T11567","display_name":"semigroups and automata theory","score":0.9200000166893005,"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/humanities","display_name":"Humanities","score":0.751717746257782},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4523162245750427},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.2965591549873352}],"concepts":[{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.751717746257782},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4523162245750427},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.2965591549873352}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/1261","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1261","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v3i2r3/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":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/1261","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1261","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v3i2r3/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":false,"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":null,"license_id":null,"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/W2992482407.pdf","grobid_xml":"https://content.openalex.org/works/W2992482407.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W2042433727","https://openalex.org/W2056504617","https://openalex.org/W2082103588"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"Soit":[0],"$U$":[1],"un":[2],"ensemble":[3],"de":[4,6],"couples":[5],"lettres.":[7],"Foata":[8],"et":[9,27,35,67],"Zeilberger":[10],"ont":[11],"introduit":[12],"les":[13,16,31],"$U$-statistiques":[14],"pour":[15,29,61],"mots":[17],"quelconques.":[18],"Dans":[19],"cette":[20,49],"note,":[21],"on":[22],"\u00e9tablit":[23],"une":[24],"condition":[25,50],"n\u00e9cessaire":[26],"suffisante":[28],"que":[30,48,55],"deux":[32,64],"d\u00e9finitions":[33],"\"maj$_U$\"":[34,66],"\"maj2$_U$\",":[36],"qu'on":[37],"rencontre":[38],"dans":[39],"le":[40],"cas":[41],"classique,":[42],"sont":[43],"\u00e9quivalentes.":[44],"Il":[45],"est":[46,51],"remarquable":[47],"exactement":[52],"la":[53],"m\u00eame":[54],"celle":[56],"qui":[57],"a":[58],"\u00e9t\u00e9":[59],"trouv\u00e9e":[60],"l'\u00e9quidistribution":[62],"des":[63],"statistiques":[65],"\"inv$_U$\".":[68]},"counts_by_year":[{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
