{"id":"https://openalex.org/W2359243176","doi":"https://doi.org/10.37236/5659","title":"Chung-Feller Property of Schr\u00f6der Objects","display_name":"Chung-Feller Property of Schr\u00f6der Objects","publication_year":2016,"publication_date":"2016-05-13","ids":{"openalex":"https://openalex.org/W2359243176","doi":"https://doi.org/10.37236/5659","mag":"2359243176"},"language":"en","primary_location":{"id":"doi:10.37236/5659","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5659","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v23i2p34/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":"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/v23i2p34/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006070881","display_name":"Youngja Park","orcid":"https://orcid.org/0000-0002-1310-148X"},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Youngja Park","raw_affiliation_strings":["Yonsei University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Yonsei University","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100656149","display_name":"Sangwook Kim","orcid":"https://orcid.org/0000-0002-6334-6100"},"institutions":[{"id":"https://openalex.org/I4210092150","display_name":"Chonnam National University Hospital","ror":"https://ror.org/00f200z37","country_code":"KR","type":"healthcare","lineage":["https://openalex.org/I111277659","https://openalex.org/I4210092150"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Sangwook Kim","raw_affiliation_strings":["Chonnam National University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chonnam National University","institution_ids":["https://openalex.org/I4210092150"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6443,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.6707999,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"23","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":0.9998999834060669,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9912999868392944,"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"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9700000286102295,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.9154902696609497},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8989043235778809},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6932551860809326},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5883736610412598},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5700829029083252},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5480201840400696},{"id":"https://openalex.org/keywords/sign","display_name":"Sign (mathematics)","score":0.5454091429710388},{"id":"https://openalex.org/keywords/combinatorial-proof","display_name":"Combinatorial proof","score":0.5414713621139526},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.4642907381057739},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40912926197052},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1262001097202301},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06750640273094177},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.062476128339767456}],"concepts":[{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.9154902696609497},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8989043235778809},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6932551860809326},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5883736610412598},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5700829029083252},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5480201840400696},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.5454091429710388},{"id":"https://openalex.org/C118539577","wikidata":"https://www.wikidata.org/wiki/Q3402784","display_name":"Combinatorial proof","level":2,"score":0.5414713621139526},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.4642907381057739},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40912926197052},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1262001097202301},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06750640273094177},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.062476128339767456},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/5659","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5659","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v23i2p34/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"}],"best_oa_location":{"id":"doi:10.37236/5659","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5659","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v23i2p34/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":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5600000023841858}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2359243176.pdf","grobid_xml":"https://content.openalex.org/works/W2359243176.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1963809736","https://openalex.org/W1967542071","https://openalex.org/W1972912363","https://openalex.org/W1983050162","https://openalex.org/W2002148978","https://openalex.org/W2011280299","https://openalex.org/W2023353776","https://openalex.org/W2037840682","https://openalex.org/W2067182403","https://openalex.org/W2103166491","https://openalex.org/W2144515537","https://openalex.org/W2181515033","https://openalex.org/W2914659449","https://openalex.org/W2992732741","https://openalex.org/W4285719527","https://openalex.org/W4300302225","https://openalex.org/W6646111092"],"related_works":["https://openalex.org/W2999935146","https://openalex.org/W3013460418","https://openalex.org/W4324296894","https://openalex.org/W2046528973","https://openalex.org/W2166066502","https://openalex.org/W2509555593","https://openalex.org/W4303647955","https://openalex.org/W2547957268","https://openalex.org/W2811365892","https://openalex.org/W3083163437"],"abstract_inverted_index":{"Large":[0],"Schr\u00f6der":[1,18,30,54,72],"paths,":[2],"sparse":[3],"noncrossing":[4],"partitions,":[5],"partial":[6],"horizontal":[7],"strips,":[8],"and":[9,35],"$132$-avoiding":[10],"alternating":[11],"sign":[12],"matrices":[13],"are":[14,42],"objects":[15,31,55],"enumerated":[16],"by":[17],"numbers.":[19],"In":[20],"this":[21],"paper":[22],"we":[23],"give":[24,63],"formula":[25],"for":[26,50,67],"the":[27,51,68],"number":[28,36,52,69],"of":[29,37,53,70],"with":[32,56],"given":[33,57],"type":[34,58],"connected":[38],"components.":[39],"The":[40],"proofs":[41],"bijective":[43,48],"using":[44],"Chung-Feller":[45],"style.":[46],"A":[47],"proof":[49],"is":[59],"provided.":[60],"We":[61],"also":[62],"a":[64],"combinatorial":[65],"interpretation":[66],"small":[71],"paths.":[73]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
