{"id":"https://openalex.org/W2200791940","doi":"https://doi.org/10.37236/5536","title":"Triangular Fully Packed Loop Configurations of Excess 2","display_name":"Triangular Fully Packed Loop Configurations of Excess 2","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2200791940","doi":"https://doi.org/10.37236/5536","mag":"2200791940"},"language":"en","primary_location":{"id":"doi:10.37236/5536","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5536","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":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.37236/5536","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074374281","display_name":"Sabine Beil","orcid":null},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Sabine Beil","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Mathematik [Wien]","Univ of Vienna"],"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik [Wien]","institution_ids":[]},{"raw_affiliation_string":"Univ of Vienna","institution_ids":["https://openalex.org/I129774422"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074374281"],"corresponding_institution_ids":["https://openalex.org/I129774422"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1518338,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"23","issue":"4","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":0.44620001316070557,"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":0.44620001316070557,"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/T12162","display_name":"Cellular Automata and Applications","score":0.1274999976158142,"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/T12504","display_name":"Mathematics and Applications","score":0.07450000196695328,"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/gyration","display_name":"Gyration","score":0.6833094954490662},{"id":"https://openalex.org/keywords/loop","display_name":"Loop (graph theory)","score":0.6470085978507996},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6206278800964355},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.537632942199707},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5309087038040161},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4747336804866791},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.4715535640716553},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4452885389328003},{"id":"https://openalex.org/keywords/linking-number","display_name":"Linking number","score":0.43620944023132324},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4031642973423004},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3954177796840668},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3150290846824646}],"concepts":[{"id":"https://openalex.org/C2778297186","wikidata":"https://www.wikidata.org/wiki/Q5625393","display_name":"Gyration","level":2,"score":0.6833094954490662},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.6470085978507996},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6206278800964355},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.537632942199707},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5309087038040161},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4747336804866791},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.4715535640716553},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4452885389328003},{"id":"https://openalex.org/C172455284","wikidata":"https://www.wikidata.org/wiki/Q2000614","display_name":"Linking number","level":3,"score":0.43620944023132324},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4031642973423004},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3954177796840668},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3150290846824646},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C552990157","wikidata":"https://www.wikidata.org/wiki/Q7430","display_name":"DNA","level":2,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.37236/5536","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5536","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"},{"id":"doi:10.46298/dmtcs.2487","is_oa":true,"landing_page_url":"https://doi.org/10.46298/dmtcs.2487","pdf_url":"https://dmtcs.episciences.org/2487/pdf","source":{"id":"https://openalex.org/S200334879","display_name":"Discrete Mathematics & Theoretical Computer Science","issn_l":"1365-8050","issn":["1365-8050","1462-7264"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4328141799","host_organization_name":"French association","host_organization_lineage":["https://openalex.org/P4328141799"],"host_organization_lineage_names":["French association"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics &amp; Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1506.00943","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1506.00943","pdf_url":"https://arxiv.org/pdf/1506.00943","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:HAL:hal-01337753v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01337753","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015), Jul 2015, Daejeon, South Korea. pp.985-996, &#x27E8;10.46298/dmtcs.2487&#x27E9;","raw_type":"Conference papers"},{"id":"pmh:oai:doaj.org/article:4163acca7bf94a30bd63caf7e4364801","is_oa":true,"landing_page_url":"https://doaj.org/article/4163acca7bf94a30bd63caf7e4364801","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings, 27th..., Iss Proceedings (2015)","raw_type":"article"},{"id":"doi:10.48550/arxiv.1506.00943","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1506.00943","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.37236/5536","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5536","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1909201467","https://openalex.org/W1967764902","https://openalex.org/W1997100764","https://openalex.org/W2062510785","https://openalex.org/W2104941740","https://openalex.org/W2106419197","https://openalex.org/W2127923816","https://openalex.org/W2135590606","https://openalex.org/W2136699077","https://openalex.org/W2951657722"],"related_works":["https://openalex.org/W2963970639","https://openalex.org/W2110420775","https://openalex.org/W2054760559","https://openalex.org/W3099923724","https://openalex.org/W1639758275","https://openalex.org/W1614251298","https://openalex.org/W2963713895","https://openalex.org/W3099476760","https://openalex.org/W2061299969","https://openalex.org/W3122491415","https://openalex.org/W3136941415","https://openalex.org/W3101011016","https://openalex.org/W3186187421","https://openalex.org/W3105241367","https://openalex.org/W3132581978","https://openalex.org/W3004301321","https://openalex.org/W1653832961","https://openalex.org/W2160874732","https://openalex.org/W2012747838","https://openalex.org/W2950146351"],"abstract_inverted_index":{"Triangular":[0],"fully":[1,12,195],"packed":[2,13,196],"loop":[3,14,197],"configurations":[4,15,189,206],"(TFPLs)":[5],"came":[6],"up":[7],"in":[8,150],"the":[9,49,69,74,80,87,91,109,128],"study":[10],"of":[11,28,39,52,90,94,112,120,130,152,154],"on":[16,79,229],"a":[17,25,32,36,53,98,124,282,309],"square":[18],"(FPLs)":[19,213],"corresponding":[20,96],"to":[21,85,97,115],"link":[22,100],"patterns":[23],"with":[24,73,132],"large":[26],"number":[27,129],"nested":[29],"arches.":[30],"To":[31],"TFPL":[33,54,252],"is":[34,55,123,158],"assigned":[35],"triple":[37],"$(u,v;w)$":[38,51,134,233,250],"$01$-words":[40],"encoding":[41],"its":[42],"boundary":[43,50,133,168],"conditions.":[44],"A":[45],"necessary":[46],"condition":[47,245],"for":[48,127,170],"$\\lvert":[56,136,254,342],"\\lambda(u)":[57,255],"\\rvert":[58,61,139,143,256,259,345,349],"+\\lvert":[59,257],"\\lambda(v)":[60,258],"\\leq":[62,148,260,354],"\\lvert":[63,145,261,351],"\\lambda(w)":[64,262],"\\rvert$,":[65,263],"where":[66,135],"$\\lambda(u)$":[67,265],"denotes":[68],"Young":[70,270],"diagram":[71],"associated":[72],"$01$-word":[75],"$u$.":[76,274],"Wieland":[77,104,113,162,281,308,320],"gyration,":[78],"other":[81],"hand,":[82],"was":[83,106],"invented":[84],"show":[86],"rotational":[88],"invariance":[89],"numbers":[92,153],"$A_\\pi$":[93,292],"FPLs":[95,294],"given":[99],"pattern":[101],"$\\pi$.":[102,302],"Later,":[103],"drift":[105],"defined":[107],"as":[108],"natural":[110],"adaption":[111],"gyration":[114],"TFPLs.":[116,322],"The":[117],"main":[118],"contribution":[119,324],"this":[121],"article":[122,328],"linear":[125],"expression":[126,331],"TFPLs":[131,156,159,166,337,361,365,372],"\\lambda":[137,146,180,186,343,352,389,395],"(w)":[138,344],"-":[140,144,346,350],"\\lvert\\lambda":[141,347],"(u)":[142,178,348,387],"(v)\\rvert":[147,353],"2$":[149],"terms":[151],"stable":[155,165],"that":[157,176],"invariant":[160],"under":[161],"drift.":[163],"These":[164],"have":[167],"$(u^{+},v^{+};w)$":[169],"words":[171],"$u^{+}$":[172,379],"and":[173,182],"$v^{+}$":[174,381],"such":[175],"$\\lambda":[177,183,386,392],"\\subseteq":[179,185,388,394],"(u^{+})$":[181,390],"(v)":[184,393],"(v^{+})$.":[187,396],"Les":[188],"de":[190,207,218,234,269,280,293,299,307,314,319,326,336,338,360,369],"boucles":[191,208],"compactes":[192,209],"triangulaires":[193],"(\u201dtriangular":[194],"configurations\u201d,":[198],"ou":[199],"TFPLs)":[200],"sont":[201],"apparues":[202],"dans":[203,210],"l\u2019\u00e9tude":[204],"des":[205,216,290,358,382],"un":[211,221,231,297],"carr\u00e9":[212],"correspondant":[214,295],"\u00e0":[215,296],"motifs":[217],"liaison":[219,300],"avec":[220,378],"grand":[222],"nombre":[223,335],"d\u2019arcs":[224],"imbriqu\u00e9s.":[225],"\u00c0":[226],"chaque":[227],"TPFL":[228],"associe":[230],"triplet":[232],"mots":[235,383],"sur":[236],"{0,1},":[237],"qui":[238],"encode":[239],"ses":[240],"conditions":[241],"aux":[242,321],"bords.":[243],"Une":[244],"n\u00e9cessaire":[246],"pour":[247,285,312,333,375],"le":[248,267,334],"bord":[249,339,376],"d\u2019un":[251],"est":[253,329],"o\u00f9":[264,341],"d\u00e9signe":[266],"diagramme":[268],"associ\u00e9":[271],"au":[272],"mot":[273],"D\u2019un":[275],"autre":[276],"c\u00f4t\u00e9,":[277],"la":[278,305,317],"giration":[279,318],"\u00e9t\u00e9":[283,310],"invent\u00e9e":[284],"montrer":[286],"l\u2019invariance":[287],"par":[288,367],"rotation":[289],"nombres":[291,359],"motif":[298],"donn\u00e9":[301],"Plus":[303],"tard,":[304],"d\u00e9viation":[306,368],"d\u00e9finie":[311],"adapter":[313],"mani\u00e8re":[315],"naturelle":[316],"La":[323],"principale":[325],"cet":[327],"une":[330],"lin\u00e9aire":[332],"$(u,v;w)$,":[340],"2$,":[355],"en":[356],"fonction":[357],"stables,":[362],"&lt;i&gt;i.e&lt;/i&gt;.,":[363],"les":[364],"invariants":[366],"Wieland.":[370],"Ces":[371],"stables":[373],"ont":[374],"$(u^{+},v^{+};w)$,":[377],"et":[380,391],"tels":[384],"que":[385]},"counts_by_year":[],"updated_date":"2026-03-03T08:47:05.690250","created_date":"2016-06-24T00:00:00"}
