{"id":"https://openalex.org/W2147695811","doi":"https://doi.org/10.37236/1766","title":"On the Counting of Fully Packed Loop Configurations: Some New Conjectures","display_name":"On the Counting of Fully Packed Loop Configurations: Some New Conjectures","publication_year":2004,"publication_date":"2004-02-14","ids":{"openalex":"https://openalex.org/W2147695811","doi":"https://doi.org/10.37236/1766","mag":"2147695811"},"language":"en","primary_location":{"id":"doi:10.37236/1766","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1766","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1r13/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/v11i1r13/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076029631","display_name":"Jean-Bernard Zuber","orcid":"https://orcid.org/0000-0001-6907-6538"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"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"]},{"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"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"J.-B. Zuber","raw_affiliation_strings":["Service de Physique Th\u00e9orique de Saclay,","CEA/DSM/SPhT, Unit\u00e9 de recherche associ\u00e9e au CNRS F-91191 Gif sur Yvette Cedex, France"],"affiliations":[{"raw_affiliation_string":"Service de Physique Th\u00e9orique de Saclay,","institution_ids":["https://openalex.org/I4210163633"]},{"raw_affiliation_string":"CEA/DSM/SPhT, Unit\u00e9 de recherche associ\u00e9e au CNRS F-91191 Gif sur Yvette Cedex, France","institution_ids":["https://openalex.org/I2738703131","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076029631"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2738703131","https://openalex.org/I4210163633"],"apc_list":null,"apc_paid":null,"fwci":6.2216,"has_fulltext":true,"cited_by_count":38,"citation_normalized_percentile":{"value":0.97479399,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"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/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":0.9994000196456909,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9994000196456909,"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/mathematics","display_name":"Mathematics","score":0.8554704189300537},{"id":"https://openalex.org/keywords/ansatz","display_name":"Ansatz","score":0.7836437225341797},{"id":"https://openalex.org/keywords/loop","display_name":"Loop (graph theory)","score":0.6719937920570374},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6619887948036194},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.619847297668457},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5200681090354919},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.519166111946106},{"id":"https://openalex.org/keywords/periodic-boundary-conditions","display_name":"Periodic boundary conditions","score":0.4254564940929413},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3488348722457886},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.24563735723495483},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17205414175987244},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13201043009757996},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.09847468137741089},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05082610249519348},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.04013505578041077}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8554704189300537},{"id":"https://openalex.org/C130979935","wikidata":"https://www.wikidata.org/wiki/Q568954","display_name":"Ansatz","level":2,"score":0.7836437225341797},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.6719937920570374},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6619887948036194},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.619847297668457},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5200681090354919},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.519166111946106},{"id":"https://openalex.org/C112675119","wikidata":"https://www.wikidata.org/wiki/Q2992284","display_name":"Periodic boundary conditions","level":3,"score":0.4254564940929413},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3488348722457886},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.24563735723495483},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17205414175987244},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13201043009757996},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.09847468137741089},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05082610249519348},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.04013505578041077}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.37236/1766","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1766","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1r13/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:10.1.1.3.3376","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.3.3376","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/v11i1r13.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.341.3029","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.341.3029","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math-ph/0309057v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.5.1461","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.5.1461","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/v11i1r13.ps","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00007955v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00007955","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, 114, pp.R13","raw_type":"Journal articles"}],"best_oa_location":{"id":"doi:10.37236/1766","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1766","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1r13/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/W2147695811.pdf","grobid_xml":"https://content.openalex.org/works/W2147695811.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1484130161","https://openalex.org/W1599335667","https://openalex.org/W1909201467","https://openalex.org/W1993315259","https://openalex.org/W2014082748","https://openalex.org/W2026897841","https://openalex.org/W2100445436","https://openalex.org/W2131689054","https://openalex.org/W2132391204","https://openalex.org/W2135590606","https://openalex.org/W2151256890","https://openalex.org/W2168754845","https://openalex.org/W2284275968","https://openalex.org/W2950960254","https://openalex.org/W3101073159"],"related_works":["https://openalex.org/W2089909466","https://openalex.org/W3208000705","https://openalex.org/W2089799198","https://openalex.org/W2126034343","https://openalex.org/W3193597985","https://openalex.org/W2460950183","https://openalex.org/W3014952517","https://openalex.org/W2032748140","https://openalex.org/W2392523851","https://openalex.org/W3105490055"],"abstract_inverted_index":{"New":[0],"conjectures":[1,26],"are":[2,27],"proposed":[3],"on":[4,29],"the":[5,20,30,33,37],"numbers":[6],"of":[7,14,19,32,36],"FPL":[8],"configurations":[9],"pertaining":[10],"to":[11,49],"certain":[12],"types":[13],"link":[15],"patterns.":[16],"Making":[17],"use":[18],"Razumov":[21],"and":[22,44],"Stroganov":[23],"Ansatz,":[24],"these":[25],"based":[28],"analysis":[31],"ground":[34],"state":[35],"Temperley-Lieb":[38],"chain,":[39],"for":[40],"periodic":[41],"boundary":[42],"conditions":[43],"so-called":[45],"\"identified":[46],"connectivities\",":[47],"up":[48],"size":[50],"$2n=22$.":[51]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
