{"id":"https://openalex.org/W2151256890","doi":"https://doi.org/10.37236/1817","title":"A Bijection Between Classes of Fully Packed Loops and Plane Partitions","display_name":"A Bijection Between Classes of Fully Packed Loops and Plane Partitions","publication_year":2004,"publication_date":"2004-09-16","ids":{"openalex":"https://openalex.org/W2151256890","doi":"https://doi.org/10.37236/1817","mag":"2151256890"},"language":"en","primary_location":{"id":"doi:10.37236/1817","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1817","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1r64/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/v11i1r64/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046514222","display_name":"Philippe Di Francesco","orcid":"https://orcid.org/0000-0003-0336-4814"},"institutions":[{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I4210128565","display_name":"CEA Paris-Saclay","ror":"https://ror.org/03n15ch10","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I4210128565"]},{"id":"https://openalex.org/I4210163633","display_name":"Institut de Physique Th\u00e9orique","ror":"https://ror.org/058rvd314","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I4210098836","https://openalex.org/I4210113668","https://openalex.org/I4210163633"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"P. Di Francesco","raw_affiliation_strings":["SPhT - Service de Physique Th\u00e9orique (CEA/Saclay - 91191 Gif-sur-Yvette Cedex, France - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SPhT - Service de Physique Th\u00e9orique (CEA/Saclay - 91191 Gif-sur-Yvette Cedex, France - France)","institution_ids":["https://openalex.org/I4210163633","https://openalex.org/I2738703131","https://openalex.org/I4210128565"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006276965","display_name":"Paul Zinn-Justin","orcid":"https://orcid.org/0000-0002-6201-9562"},"institutions":[{"id":"https://openalex.org/I4210119869","display_name":"Laboratoire de Physique Th\u00e9orique et Hautes Energies","ror":"https://ror.org/02mph9k76","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210098836","https://openalex.org/I4210119869"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"P. Zinn-Justin","raw_affiliation_strings":["LPTHE - Laboratoire de Physique Th\u00e9orique et Hautes Energies (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LPTHE - Laboratoire de Physique Th\u00e9orique et Hautes Energies (France)","institution_ids":["https://openalex.org/I4210119869"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076029631","display_name":"Jean-Bernard Zuber","orcid":"https://orcid.org/0000-0001-6907-6538"},"institutions":[{"id":"https://openalex.org/I127558574","display_name":"DSM (Netherlands)","ror":"https://ror.org/00k01kt20","country_code":"NL","type":"company","lineage":["https://openalex.org/I127558574"]},{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I4210128565","display_name":"CEA Paris-Saclay","ror":"https://ror.org/03n15ch10","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I4210128565"]},{"id":"https://openalex.org/I4210163633","display_name":"Institut de Physique Th\u00e9orique","ror":"https://ror.org/058rvd314","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I4210098836","https://openalex.org/I4210113668","https://openalex.org/I4210163633"]}],"countries":["FR","NL"],"is_corresponding":false,"raw_author_name":"J.-B. Zuber","raw_affiliation_strings":["C.E.A.-Saclay, F-91191 Gif sur Yvette Cedex, France;","Service de Physique Thorique de Saclay, CEA/DSM/SPhT, URA 2306 du CNRS,","SPhT - Service de Physique Th\u00e9orique (CEA/Saclay - 91191 Gif-sur-Yvette Cedex, France - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"C.E.A.-Saclay, F-91191 Gif sur Yvette Cedex, France;","institution_ids":["https://openalex.org/I4210128565"]},{"raw_affiliation_string":"Service de Physique Thorique de Saclay, CEA/DSM/SPhT, URA 2306 du CNRS,","institution_ids":["https://openalex.org/I4210163633","https://openalex.org/I127558574"]},{"raw_affiliation_string":"SPhT - Service de Physique Th\u00e9orique (CEA/Saclay - 91191 Gif-sur-Yvette Cedex, France - France)","institution_ids":["https://openalex.org/I4210163633","https://openalex.org/I2738703131","https://openalex.org/I4210128565"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.7469,"has_fulltext":true,"cited_by_count":27,"citation_normalized_percentile":{"value":0.95079017,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"11","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9994000196456909,"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/T12504","display_name":"Mathematics and Applications","score":0.9952999949455261,"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":0.9826483130455017},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8369855880737305},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7909303903579712},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.7228374481201172},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19296178221702576}],"concepts":[{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.9826483130455017},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8369855880737305},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7909303903579712},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.7228374481201172},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19296178221702576}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.37236/1817","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1817","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1r64/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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.100.1648","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.100.1648","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lptms.u-psud.fr/ressources/publis/0311220.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.77.244","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.77.244","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.combinatorics.org/Volume_11/PDF/v11i1r64.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.78.9086","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.78.9086","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.combinatorics.org/Volume_11/PostScriptfiles/v11i1r64.ps","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00004275v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00004275","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"The Electronic Journal of Combinatorics, 2004, 11, pp.R64","raw_type":"Journal articles"}],"best_oa_location":{"id":"doi:10.37236/1817","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1817","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1r64/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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2151256890.pdf","grobid_xml":"https://content.openalex.org/works/W2151256890.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W850143359","https://openalex.org/W1619701110","https://openalex.org/W1973538730","https://openalex.org/W2100445436","https://openalex.org/W2132391204","https://openalex.org/W2135590606","https://openalex.org/W2147695811","https://openalex.org/W2952427379"],"related_works":["https://openalex.org/W2952259524","https://openalex.org/W2279732055","https://openalex.org/W2995857455","https://openalex.org/W4288805235","https://openalex.org/W2027277382","https://openalex.org/W4287020903","https://openalex.org/W1508013399","https://openalex.org/W2998840281","https://openalex.org/W2063982045","https://openalex.org/W2151256890"],"abstract_inverted_index":{"It":[0],"has":[1],"recently":[2],"been":[3],"observed":[4],"empirically":[5],"that":[6],"the":[7,23,47],"number":[8,24],"of":[9,15,25,31],"FPL":[10,51],"configurations":[11],"with":[12],"3":[13],"sets":[14],"$a$,":[16],"$b$":[17],"and":[18,52],"$c$":[19],"nested":[20],"arches":[21],"equals":[22],"plane":[26,53],"partitions":[27],"in":[28],"a":[29],"box":[30],"size":[32],"$a\\times":[33],"b":[34],"\\times":[35],"c$.":[36],"In":[37],"this":[38,40],"note,":[39],"result":[41],"is":[42],"proved":[43],"by":[44],"constructing":[45],"explicitly":[46],"bijection":[48],"between":[49],"these":[50],"partitions.":[54]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}