{"id":"https://openalex.org/W2789042343","doi":"https://doi.org/10.37236/6898","title":"Fixed Points of the Evacuation of Maximal Chains on Fuss Shapes","display_name":"Fixed Points of the Evacuation of Maximal Chains on Fuss Shapes","publication_year":2018,"publication_date":"2018-02-16","ids":{"openalex":"https://openalex.org/W2789042343","doi":"https://doi.org/10.37236/6898","mag":"2789042343"},"language":"en","primary_location":{"id":"doi:10.37236/6898","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6898","pdf_url":null,"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":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.37236/6898","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075113703","display_name":"Sen\u2010Peng Eu","orcid":"https://orcid.org/0000-0002-2645-2625"},"institutions":[{"id":"https://openalex.org/I530967","display_name":"Toronto Metropolitan University","ror":"https://ror.org/05g13zd79","country_code":"CA","type":"education","lineage":["https://openalex.org/I530967"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Sen-Peng Eu","raw_affiliation_strings":["Department of Mathematics"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics","institution_ids":["https://openalex.org/I530967"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016070662","display_name":"Tung-Shan Fu","orcid":"https://orcid.org/0000-0002-7690-9742"},"institutions":[{"id":"https://openalex.org/I1309796872","display_name":"National Pingtung University","ror":"https://ror.org/03z698x91","country_code":"TW","type":"education","lineage":["https://openalex.org/I1309796872"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Tung-Shan Fu","raw_affiliation_strings":["National PingTung University"],"affiliations":[{"raw_affiliation_string":"National PingTung University","institution_ids":["https://openalex.org/I1309796872"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113876274","display_name":"Hsiang-Chun Hsu","orcid":null},"institutions":[{"id":"https://openalex.org/I134161618","display_name":"National Taiwan Normal University","ror":"https://ror.org/059dkdx38","country_code":"TW","type":"education","lineage":["https://openalex.org/I134161618"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Hsiang-Chun Hsu","raw_affiliation_strings":["\u201cNational Taiwan Normal University\u201d"],"affiliations":[{"raw_affiliation_string":"\u201cNational Taiwan Normal University\u201d","institution_ids":["https://openalex.org/I134161618"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108256892","display_name":"Yu-Pei Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu-Pei Huang","raw_affiliation_strings":["Beijing normal University"],"affiliations":[{"raw_affiliation_string":"Beijing normal University","institution_ids":["https://openalex.org/I25254941"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5075113703"],"corresponding_institution_ids":["https://openalex.org/I530967"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12471132,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","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":0.998199999332428,"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":0.998199999332428,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.991100013256073,"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"}},{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9891999959945679,"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/mathematics","display_name":"Mathematics","score":0.8514746427536011},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8303636312484741},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.7817080616950989},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.7341930270195007},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6611748933792114},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.6581291556358337},{"id":"https://openalex.org/keywords/involution","display_name":"Involution (esoterism)","score":0.633706271648407},{"id":"https://openalex.org/keywords/hasse-diagram","display_name":"Hasse diagram","score":0.5842709541320801},{"id":"https://openalex.org/keywords/antichain","display_name":"Antichain","score":0.5687404870986938},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3552480936050415},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10127171874046326},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08689773082733154}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8514746427536011},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8303636312484741},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.7817080616950989},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.7341930270195007},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6611748933792114},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6581291556358337},{"id":"https://openalex.org/C2781409172","wikidata":"https://www.wikidata.org/wiki/Q17056802","display_name":"Involution (esoterism)","level":3,"score":0.633706271648407},{"id":"https://openalex.org/C140002607","wikidata":"https://www.wikidata.org/wiki/Q901446","display_name":"Hasse diagram","level":3,"score":0.5842709541320801},{"id":"https://openalex.org/C136134351","wikidata":"https://www.wikidata.org/wiki/Q431937","display_name":"Antichain","level":3,"score":0.5687404870986938},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3552480936050415},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10127171874046326},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08689773082733154},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/6898","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6898","pdf_url":null,"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"}],"best_oa_location":{"id":"doi:10.37236/6898","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6898","pdf_url":null,"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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2013313833","https://openalex.org/W28336341","https://openalex.org/W2111205855","https://openalex.org/W2015816871","https://openalex.org/W1854642140","https://openalex.org/W2056881277","https://openalex.org/W2065333210","https://openalex.org/W1504624230","https://openalex.org/W3213974985","https://openalex.org/W4302107529"],"abstract_inverted_index":{"For":[0],"a":[1,11,52,72,76,84,88,115],"partition":[2],"$\\lambda$":[3,9,70],"of":[4,18,24,31,34,51,60,64,111,127],"an":[5,57],"integer,":[6],"we":[7,117],"associate":[8],"with":[10],"slender":[12],"poset":[13],"$P$":[14,128],"the":[15,21,29,61,65,80,101,105,109,124,130,134],"Hasse":[16],"diagram":[17,23],"which":[19,42],"resembles":[20],"Ferrers":[22],"$\\lambda$.":[25],"Let":[26],"$X$":[27],"be":[28,92],"set":[30],"maximal":[32,125],"chains":[33,98,126],"$P$.":[35],"We":[36,55],"consider":[37],"Stanley's":[38],"involution":[39,131],"$\\epsilon:X\\rightarrow":[40,67],"X$,":[41],"is":[43,71],"extended":[44],"from":[45],"Sch\u00fctzenberger's":[46],"evacuation":[47,110],"on":[48],"linear":[49],"extensions":[50],"finite":[53],"poset.":[54],"present":[56],"explicit":[58],"characterization":[59],"fixed":[62,81,89],"points":[63,82],"map":[66],"X$":[68],"when":[69],"stretched":[73],"staircase":[74],"or":[75],"rectangular":[77],"shape.":[78],"Unexpectedly,":[79],"have":[83],"nice":[85],"structure,":[86],"i.e.,":[87],"point":[90],"can":[91],"decomposed":[93],"in":[94],"half":[95,103,107],"into":[96],"two":[97],"such":[99],"that":[100],"first":[102],"and":[104],"second":[106],"are":[108],"each":[112],"other.":[113],"As":[114],"consequence,":[116],"prove":[118],"anew":[119],"Stembridge's":[120],"$q=-1$":[121],"phenomenon":[122],"for":[123,133],"under":[129],"$\\epsilon$":[132],"restricted":[135],"shapes.":[136]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}