{"id":"https://openalex.org/W1526709347","doi":"https://doi.org/10.37236/4396","title":"Bruhat Order on Partial Fixed Point Free Involutions","display_name":"Bruhat Order on Partial Fixed Point Free Involutions","publication_year":2014,"publication_date":"2014-11-13","ids":{"openalex":"https://openalex.org/W1526709347","doi":"https://doi.org/10.37236/4396","mag":"1526709347"},"language":"en","primary_location":{"id":"doi:10.37236/4396","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4396","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i4p34/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":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i4p34/pdf","any_repository_has_fulltext":true},"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":["Tulane University, Louisiana, USA"],"affiliations":[{"raw_affiliation_string":"Tulane University, Louisiana, USA","institution_ids":["https://openalex.org/I114832834"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071604480","display_name":"Yonah Cherniavsky","orcid":null},"institutions":[{"id":"https://openalex.org/I52170813","display_name":"Ariel University","ror":"https://ror.org/03nz8qe97","country_code":"IL","type":"education","lineage":["https://openalex.org/I52170813"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Yonah Cherniavsky","raw_affiliation_strings":["Ariel University, Israel"],"affiliations":[{"raw_affiliation_string":"Ariel University, Israel","institution_ids":["https://openalex.org/I52170813"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083519906","display_name":"Tim Twelbeck","orcid":null},"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":false,"raw_author_name":"Tim Twelbeck","raw_affiliation_strings":["Tulane University, Louisiana, USA"],"affiliations":[{"raw_affiliation_string":"Tulane University, Louisiana, USA","institution_ids":["https://openalex.org/I114832834"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5036635471"],"corresponding_institution_ids":["https://openalex.org/I114832834"],"apc_list":null,"apc_paid":null,"fwci":0.43331167,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60615144,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"21","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9995999932289124,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9995999932289124,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9994999766349792,"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/partially-ordered-set","display_name":"Partially ordered set","score":0.8541855812072754},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8062230348587036},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6600071787834167},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5053403973579407},{"id":"https://openalex.org/keywords/skew","display_name":"Skew","score":0.49702098965644836},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.46996256709098816},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.43960756063461304},{"id":"https://openalex.org/keywords/bruhat-order","display_name":"Bruhat order","score":0.43551018834114075},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35874173045158386},{"id":"https://openalex.org/keywords/coxeter-group","display_name":"Coxeter group","score":0.15407806634902954},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12440717220306396},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08426609635353088}],"concepts":[{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.8541855812072754},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8062230348587036},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6600071787834167},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5053403973579407},{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.49702098965644836},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.46996256709098816},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.43960756063461304},{"id":"https://openalex.org/C177274530","wikidata":"https://www.wikidata.org/wiki/Q4978697","display_name":"Bruhat order","level":3,"score":0.43551018834114075},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35874173045158386},{"id":"https://openalex.org/C143669375","wikidata":"https://www.wikidata.org/wiki/Q7874246","display_name":"Coxeter group","level":2,"score":0.15407806634902954},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12440717220306396},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08426609635353088},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.37236/4396","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4396","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i4p34/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:arXiv.org:1403.0703","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1403.0703","pdf_url":"https://arxiv.org/pdf/1403.0703","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:1526709347","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1403.0703","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1403.0703","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1403.0703","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.37236/4396","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4396","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i4p34/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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.7400000095367432}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1526709347.pdf","grobid_xml":"https://content.openalex.org/works/W1526709347.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1560742821","https://openalex.org/W1563433788","https://openalex.org/W1963602075","https://openalex.org/W1976843375","https://openalex.org/W2005742663","https://openalex.org/W2006130337","https://openalex.org/W2012831754","https://openalex.org/W2015050395","https://openalex.org/W2030040278","https://openalex.org/W2061173493","https://openalex.org/W2062464706","https://openalex.org/W2067681729","https://openalex.org/W2077148545","https://openalex.org/W2097560058","https://openalex.org/W2116463862","https://openalex.org/W2131220184","https://openalex.org/W2131397279","https://openalex.org/W2496965601","https://openalex.org/W2522466473","https://openalex.org/W2952289402","https://openalex.org/W2963030863","https://openalex.org/W6651931828"],"related_works":["https://openalex.org/W2155022379","https://openalex.org/W2952606945","https://openalex.org/W2889924664","https://openalex.org/W2964287214","https://openalex.org/W3037742570","https://openalex.org/W2467109123","https://openalex.org/W2616695658","https://openalex.org/W48031042","https://openalex.org/W2184748718","https://openalex.org/W2914691317","https://openalex.org/W2027306235","https://openalex.org/W2790970560","https://openalex.org/W1493712238","https://openalex.org/W2980095922","https://openalex.org/W234007585","https://openalex.org/W2951351378","https://openalex.org/W3128468283","https://openalex.org/W2791946583","https://openalex.org/W2804389103","https://openalex.org/W2985625904"],"abstract_inverted_index":{"The":[0,33],"order":[1,28],"complex":[2,29],"of":[3,7,36,51,54],"inclusion":[4],"poset":[5],"$PF_n$":[6,20,37],"Borel":[8],"orbit":[9],"closures":[10],"in":[11],"skew-symmetric":[12,55],"matrices":[13,56],"is":[14,17,21,38,44],"investigated.":[15],"It":[16],"shown":[18],"that":[19],"an":[22],"EL-shellable":[23],"poset,":[24],"and":[25,40],"furthermore,":[26],"its":[27],"triangulates":[30],"a":[31],"ball.":[32],"rank-generating":[34],"function":[35,50],"computed":[39],"the":[41,47,52],"resulting":[42],"polynomial":[43],"contrasted":[45],"with":[46],"Hasse-Weil":[48],"zeta":[49],"variety":[53],"over":[57],"finite":[58],"fields.":[59]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}
