{"id":"https://openalex.org/W2675009564","doi":"https://doi.org/10.37236/7160","title":"Shellability of Posets of Labeled Partitions and Arrangements Defined by Root Systems","display_name":"Shellability of Posets of Labeled Partitions and Arrangements Defined by Root Systems","publication_year":2019,"publication_date":"2019-10-11","ids":{"openalex":"https://openalex.org/W2675009564","doi":"https://doi.org/10.37236/7160","mag":"2675009564"},"language":"en","primary_location":{"id":"doi:10.37236/7160","is_oa":true,"landing_page_url":"https://doi.org/10.37236/7160","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v26i4p14/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/v26i4p14/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011835528","display_name":"Emanuele Delucchi","orcid":"https://orcid.org/0000-0003-3430-1517"},"institutions":[{"id":"https://openalex.org/I154338468","display_name":"University of Fribourg","ror":"https://ror.org/022fs9h90","country_code":"CH","type":"education","lineage":["https://openalex.org/I154338468"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Emanuele Delucchi","raw_affiliation_strings":["Universit\u00e9 de Fribourg"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Fribourg","institution_ids":["https://openalex.org/I154338468"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045179578","display_name":"Noriane Girard","orcid":null},"institutions":[{"id":"https://openalex.org/I154338468","display_name":"University of Fribourg","ror":"https://ror.org/022fs9h90","country_code":"CH","type":"education","lineage":["https://openalex.org/I154338468"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Noriane Girard","raw_affiliation_strings":["Universit\u00e9 de Fribourg"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Fribourg","institution_ids":["https://openalex.org/I154338468"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034418933","display_name":"Giovanni Paolini","orcid":"https://orcid.org/0000-0002-3964-9101"},"institutions":[{"id":"https://openalex.org/I157210198","display_name":"Scuola Normale Superiore","ror":"https://ror.org/03aydme10","country_code":"IT","type":"education","lineage":["https://openalex.org/I157210198"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giovanni Paolini","raw_affiliation_strings":["Scuola Normale Superiore, Pisa"],"affiliations":[{"raw_affiliation_string":"Scuola Normale Superiore, Pisa","institution_ids":["https://openalex.org/I157210198"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011835528"],"corresponding_institution_ids":["https://openalex.org/I154338468"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0217183,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"26","issue":"4","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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9975000023841858,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9926000237464905,"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/homotopy","display_name":"Homotopy","score":0.8179258108139038},{"id":"https://openalex.org/keywords/star-product","display_name":"Star product","score":0.7250157594680786},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6472971439361572},{"id":"https://openalex.org/keywords/root","display_name":"Root (linguistics)","score":0.6272098422050476},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5743688941001892},{"id":"https://openalex.org/keywords/homology","display_name":"Homology (biology)","score":0.5200523734092712},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41648581624031067},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.07295629382133484}],"concepts":[{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.8179258108139038},{"id":"https://openalex.org/C195800304","wikidata":"https://www.wikidata.org/wiki/Q7601281","display_name":"Star product","level":2,"score":0.7250157594680786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6472971439361572},{"id":"https://openalex.org/C171078966","wikidata":"https://www.wikidata.org/wiki/Q111029","display_name":"Root (linguistics)","level":2,"score":0.6272098422050476},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5743688941001892},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.5200523734092712},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41648581624031067},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.07295629382133484},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.37236/7160","is_oa":true,"landing_page_url":"https://doi.org/10.37236/7160","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v26i4p14/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:1706.06360","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1706.06360","pdf_url":"https://arxiv.org/pdf/1706.06360","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":null,"raw_type":"text"},{"id":"mag:2675009564","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1706.06360.pdf","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":"pmh:oai:cris.unibo.it:11585/943275","is_oa":false,"landing_page_url":"https://hdl.handle.net/11585/943275","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1706.06360","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1706.06360","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"},{"id":"doi:10.71910/supsi.11180","is_oa":true,"landing_page_url":"https://doi.org/10.71910/supsi.11180","pdf_url":null,"source":{"id":"https://openalex.org/S7407051718","display_name":"SUPSI ARIS","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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:10.37236/7160","is_oa":true,"landing_page_url":"https://doi.org/10.37236/7160","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v26i4p14/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":[{"id":"https://openalex.org/G1095309778","display_name":"Arrangements: topology and combinatorics","funder_award_id":"179110","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G1511995000","display_name":null,"funder_award_id":"Professorship","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G3424636561","display_name":null,"funder_award_id":"PP00P2_179110","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G375882274","display_name":null,"funder_award_id":"PP00P2_179110/1","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G580951548","display_name":null,"funder_award_id":"PP00P2","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G6507447573","display_name":null,"funder_award_id":"several","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G760275680","display_name":null,"funder_award_id":"several","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320323471","display_name":"Universit\u00e9 de Fribourg","ror":"https://ror.org/022fs9h90"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2675009564.pdf","grobid_xml":"https://content.openalex.org/works/W2675009564.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W344618875","https://openalex.org/W1526218397","https://openalex.org/W1950430922","https://openalex.org/W2015050395","https://openalex.org/W2020102029","https://openalex.org/W2027697653","https://openalex.org/W2043726320","https://openalex.org/W2056280393","https://openalex.org/W2076080209","https://openalex.org/W2076939452","https://openalex.org/W2094302618","https://openalex.org/W2128896644","https://openalex.org/W2148642357","https://openalex.org/W2168916654","https://openalex.org/W2914659449","https://openalex.org/W2963028595","https://openalex.org/W6601600055","https://openalex.org/W6630949001","https://openalex.org/W6815841120"],"related_works":["https://openalex.org/W2999591591","https://openalex.org/W3100074001","https://openalex.org/W3163743825","https://openalex.org/W3131828648","https://openalex.org/W2881186637","https://openalex.org/W2999159987","https://openalex.org/W3097406953","https://openalex.org/W2099643326","https://openalex.org/W2616893807","https://openalex.org/W2964036782","https://openalex.org/W2895963877","https://openalex.org/W1494273710","https://openalex.org/W2259855320","https://openalex.org/W2062614041","https://openalex.org/W172441062","https://openalex.org/W2341125762","https://openalex.org/W2908892626","https://openalex.org/W2594888097","https://openalex.org/W196703714","https://openalex.org/W2013016810"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2],"the":[3,57,62],"posets":[4,35,51],"of":[5,8,10,33,38,52],"connected":[6],"components":[7],"intersections":[9],"toric":[11],"and":[12,21,45],"elliptic":[13],"arrangements":[14],"defined":[15],"by":[16,36,60],"root":[17],"systems":[18],"are":[19],"EL-shellable":[20],"we":[22,55],"compute":[23],"their":[24],"homotopy":[25],"type.":[26],"Our":[27],"method":[28],"rests":[29],"on":[30],"Bibby's":[31],"description":[32],"such":[34],"means":[37],"\"labeled":[39],"partitions\":":[40],"after":[41],"giving":[42],"an":[43],"EL-labeling":[44],"counting":[46],"homology":[47],"chains":[48],"for":[49],"general":[50],"labeled":[53],"partitions,":[54],"obtain":[56],"stated":[58],"results":[59],"considering":[61],"appropriate":[63],"subposets.":[64]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
