{"id":"https://openalex.org/W1523516139","doi":"https://doi.org/10.37236/1167","title":"Maximal Fillings of Moon Polyominoes, Simplicial Complexes, and Schubert Polynomials","display_name":"Maximal Fillings of Moon Polyominoes, Simplicial Complexes, and Schubert Polynomials","publication_year":2012,"publication_date":"2012-01-16","ids":{"openalex":"https://openalex.org/W1523516139","doi":"https://doi.org/10.37236/1167","mag":"1523516139"},"language":"en","primary_location":{"id":"doi:10.37236/1167","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1167","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v19i1p16/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":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":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v19i1p16/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080707475","display_name":"Lu\u00eds Serrano","orcid":"https://orcid.org/0000-0002-5276-1392"},"institutions":[{"id":"https://openalex.org/I159129438","display_name":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al","ror":"https://ror.org/002rjbv21","country_code":"CA","type":"education","lineage":["https://openalex.org/I159129438","https://openalex.org/I49663120"]},{"id":"https://openalex.org/I4210145612","display_name":"Office of Extramural Research","ror":"https://ror.org/05aq6yn88","country_code":"US","type":"government","lineage":["https://openalex.org/I1299022934","https://openalex.org/I1299303238","https://openalex.org/I4210091794","https://openalex.org/I4210145612"]}],"countries":["CA","US"],"is_corresponding":true,"raw_author_name":"Luis Serrano","raw_affiliation_strings":["Universit du Qubec  Montral Montral, QC, Canada","Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al Montr\u00e9al, QC, Canada"],"affiliations":[{"raw_affiliation_string":"Universit du Qubec  Montral Montral, QC, Canada","institution_ids":["https://openalex.org/I4210145612"]},{"raw_affiliation_string":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al Montr\u00e9al, QC, Canada","institution_ids":["https://openalex.org/I159129438"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027940751","display_name":"Christian Stump","orcid":"https://orcid.org/0000-0002-9271-8436"},"institutions":[{"id":"https://openalex.org/I159129438","display_name":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al","ror":"https://ror.org/002rjbv21","country_code":"CA","type":"education","lineage":["https://openalex.org/I159129438","https://openalex.org/I49663120"]},{"id":"https://openalex.org/I4210145612","display_name":"Office of Extramural Research","ror":"https://ror.org/05aq6yn88","country_code":"US","type":"government","lineage":["https://openalex.org/I1299022934","https://openalex.org/I1299303238","https://openalex.org/I4210091794","https://openalex.org/I4210145612"]}],"countries":["CA","US"],"is_corresponding":false,"raw_author_name":"Christian Stump","raw_affiliation_strings":["Universit du Qubec  Montral Montral, QC, Canada","Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al Montr\u00e9al, QC, Canada"],"affiliations":[{"raw_affiliation_string":"Universit du Qubec  Montral Montral, QC, Canada","institution_ids":["https://openalex.org/I4210145612"]},{"raw_affiliation_string":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al Montr\u00e9al, QC, Canada","institution_ids":["https://openalex.org/I159129438"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080707475"],"corresponding_institution_ids":["https://openalex.org/I159129438","https://openalex.org/I4210145612"],"apc_list":null,"apc_paid":null,"fwci":7.2635,"has_fulltext":true,"cited_by_count":41,"citation_normalized_percentile":{"value":0.97790994,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"19","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":1.0,"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":1.0,"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":0.9973999857902527,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9948999881744385,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polyomino","display_name":"Polyomino","score":0.96843421459198},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.904926061630249},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8343429565429688},{"id":"https://openalex.org/keywords/schubert-polynomial","display_name":"Schubert polynomial","score":0.8053752183914185},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7389046549797058},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6220602989196777},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.5493077039718628},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.4907859265804291},{"id":"https://openalex.org/keywords/enumerative-combinatorics","display_name":"Enumerative combinatorics","score":0.42620357871055603},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.4188949167728424},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14704766869544983},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.1245543360710144},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07292011380195618}],"concepts":[{"id":"https://openalex.org/C69919132","wikidata":"https://www.wikidata.org/wiki/Q1144819","display_name":"Polyomino","level":3,"score":0.96843421459198},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.904926061630249},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8343429565429688},{"id":"https://openalex.org/C97912942","wikidata":"https://www.wikidata.org/wiki/Q7432937","display_name":"Schubert polynomial","level":2,"score":0.8053752183914185},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7389046549797058},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6220602989196777},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.5493077039718628},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.4907859265804291},{"id":"https://openalex.org/C112497148","wikidata":"https://www.wikidata.org/wiki/Q336787","display_name":"Enumerative combinatorics","level":2,"score":0.42620357871055603},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.4188949167728424},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14704766869544983},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.1245543360710144},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07292011380195618},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/1167","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1167","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v19i1p16/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":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:10.37236/1167","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1167","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v19i1p16/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":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/W1523516139.pdf","grobid_xml":"https://content.openalex.org/works/W1523516139.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W620758547","https://openalex.org/W1784352241","https://openalex.org/W1978059000","https://openalex.org/W1995152055","https://openalex.org/W2000642568","https://openalex.org/W2013327405","https://openalex.org/W2015981416","https://openalex.org/W2019363208","https://openalex.org/W2043833719","https://openalex.org/W2061558558","https://openalex.org/W2090874118","https://openalex.org/W2094594266","https://openalex.org/W2113614424","https://openalex.org/W2147939577","https://openalex.org/W2751747631","https://openalex.org/W3101399536","https://openalex.org/W4294338080","https://openalex.org/W4298851206","https://openalex.org/W6607449498","https://openalex.org/W6631235645","https://openalex.org/W6635100712"],"related_works":["https://openalex.org/W2950811884","https://openalex.org/W2170592833","https://openalex.org/W4300806472","https://openalex.org/W1974527570","https://openalex.org/W3007914651","https://openalex.org/W2021848912","https://openalex.org/W4381573901","https://openalex.org/W2950555455","https://openalex.org/W4302085763","https://openalex.org/W1523516139"],"abstract_inverted_index":{"We":[0],"exhibit":[1],"a":[2,9,16,24,41,51,63,78,97],"canonical":[3],"connection":[4],"between":[5,80],"maximal":[6,38,66],"$(0,1)$-fillings":[7],"of":[8,15,23,36,71,82,87,90,109],"moon":[10],"polyomino":[11],"avoiding":[12,68],"north-east":[13],"chains":[14,70],"given":[17],"length":[18,74,91],"and":[19,43,85],"reduced":[20],"pipe":[21],"dreams":[22],"certain":[25],"permutation.":[26],"Following":[27],"this":[28,49],"approach":[29],"we":[30,61,95],"show":[31],"that":[32],"the":[33,72,83,107],"simplicial":[34],"complex":[35],"such":[37],"fillings":[39,67],"is":[40],"vertex-decomposable,":[42],"thus":[44],"shellable,":[45],"sphere.":[46],"In":[47],"particular,":[48],"implies":[50],"positivity":[52],"result":[53],"for":[54,58,102],"Schubert":[55],"polynomials.":[56],"Moreover,":[57],"Ferrers":[59],"shapes":[60],"construct":[62],"bijection":[64,79],"to":[65,77,106],"south-east":[69],"same":[73],"which":[75],"specializes":[76],"$k$-triangulations":[81,103],"$n$-gon":[84],"$k$-fans":[86],"Dyck":[88],"paths":[89],"$2(n-2k)$.":[92],"Using":[93],"this,":[94],"translate":[96],"conjectured":[98],"cyclic":[99],"sieving":[100],"phenomenon":[101],"with":[104,112],"rotation":[105],"language":[108],"$k$-flagged":[110],"tableaux":[111],"promotion.":[113]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}