{"id":"https://openalex.org/W3037613592","doi":"https://doi.org/10.37236/9097","title":"Polyurethane Toggles","display_name":"Polyurethane Toggles","publication_year":2020,"publication_date":"2020-06-12","ids":{"openalex":"https://openalex.org/W3037613592","doi":"https://doi.org/10.37236/9097","mag":"3037613592"},"language":"en","primary_location":{"id":"doi:10.37236/9097","is_oa":true,"landing_page_url":"https://doi.org/10.37236/9097","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i2p46/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/v27i2p46/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050123780","display_name":"Colin Defant","orcid":"https://orcid.org/0000-0002-4910-5765"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Colin Defant","raw_affiliation_strings":["Princeton University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Princeton University","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050123780"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":null,"apc_paid":null,"fwci":4.3758,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.95381773,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"27","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":0.9997000098228455,"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":0.9997000098228455,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.9918000102043152,"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":0.7675925493240356},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6690189838409424},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6264719367027283},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6053929328918457},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5381318926811218},{"id":"https://openalex.org/keywords/permutation-group","display_name":"Permutation group","score":0.4680934250354767},{"id":"https://openalex.org/keywords/stack","display_name":"Stack (abstract data type)","score":0.4466184675693512},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4156067669391632},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3454974591732025},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09817883372306824},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.091103196144104}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7675925493240356},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6690189838409424},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6264719367027283},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6053929328918457},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5381318926811218},{"id":"https://openalex.org/C92957085","wikidata":"https://www.wikidata.org/wiki/Q1412905","display_name":"Permutation group","level":3,"score":0.4680934250354767},{"id":"https://openalex.org/C9395851","wikidata":"https://www.wikidata.org/wiki/Q177929","display_name":"Stack (abstract data type)","level":2,"score":0.4466184675693512},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4156067669391632},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3454974591732025},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09817883372306824},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.091103196144104},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/9097","is_oa":true,"landing_page_url":"https://doi.org/10.37236/9097","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i2p46/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:10.37236/9097","is_oa":true,"landing_page_url":"https://doi.org/10.37236/9097","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i2p46/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":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3037613592.pdf","grobid_xml":"https://content.openalex.org/works/W3037613592.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W166539567","https://openalex.org/W1576215713","https://openalex.org/W1594172504","https://openalex.org/W1680670734","https://openalex.org/W1938446813","https://openalex.org/W1970679756","https://openalex.org/W1972108939","https://openalex.org/W1980065683","https://openalex.org/W1984841421","https://openalex.org/W2004076922","https://openalex.org/W2005936038","https://openalex.org/W2006159741","https://openalex.org/W2012267021","https://openalex.org/W2022884665","https://openalex.org/W2032192467","https://openalex.org/W2058773342","https://openalex.org/W2062537955","https://openalex.org/W2063827947","https://openalex.org/W2076616949","https://openalex.org/W2080223186","https://openalex.org/W2092556779","https://openalex.org/W2102928439","https://openalex.org/W2160566290","https://openalex.org/W2267867414","https://openalex.org/W2270287673","https://openalex.org/W2463036700","https://openalex.org/W2752061190","https://openalex.org/W2752853835","https://openalex.org/W2768191518","https://openalex.org/W2890646761","https://openalex.org/W2914659449","https://openalex.org/W2935564796","https://openalex.org/W2964314476","https://openalex.org/W3001233149","https://openalex.org/W3011106694","https://openalex.org/W3013267832","https://openalex.org/W3024133592","https://openalex.org/W3030809477","https://openalex.org/W3133603168","https://openalex.org/W3133926020","https://openalex.org/W4237930722","https://openalex.org/W4300302225","https://openalex.org/W4300647413","https://openalex.org/W4300773925"],"related_works":["https://openalex.org/W4247734921","https://openalex.org/W209367526","https://openalex.org/W2506973052","https://openalex.org/W368092084","https://openalex.org/W4320165426","https://openalex.org/W4366206987","https://openalex.org/W2041699698","https://openalex.org/W4251766710","https://openalex.org/W2349665798","https://openalex.org/W3013156496"],"abstract_inverted_index":{"We":[0,25,67,94,103],"consider":[1],"the":[2,16,20,40,58,109,123,130,136],"involutions":[3,28],"known":[4],"as":[5],"toggles,":[6],"which":[7],"have":[8],"been":[9],"used":[10],"to":[11,62,108],"give":[12],"simplified":[13],"proofs":[14],"of":[15,19,43,45,53,73,83,92,99,112,125,133],"fundamental":[17],"properties":[18],"promotion":[21],"and":[22,78,85,87,101,135],"evacuation":[23],"maps.":[24],"transfer":[26],"these":[27],"so":[29],"that":[30,37,76],"they":[31],"generate":[32],"a":[33,69,74,81,90,97,105],"group":[34,131],"$\\mathscr":[35,126],"P_n$":[36,127],"acts":[38],"on":[39,128],"set":[41],"$S_n$":[42],"permutations":[44],"$\\{1,\\ldots,n\\}$.":[46],"After":[47],"characterizing":[48],"its":[49],"orbits":[50],"in":[51,60],"terms":[52],"permutation":[54],"skeletons,":[55],"we":[56,117],"apply":[57],"action":[59,124],"order":[61],"understand":[63],"West's":[64],"stack-sorting":[65,137],"map.":[66,138],"obtain":[68],"very":[70],"simple":[71],"proof":[72],"result":[75,106],"clarifies":[77],"extensively":[79],"generalizes":[80,89],"theorem":[82,91],"Bouvel":[84,100],"Guibert":[86],"also":[88,95],"Bousquet-M\\'elou.":[93],"settle":[96],"conjecture":[98],"Guibert.":[102],"prove":[104],"related":[107],"recently-introduced":[110],"notion":[111],"postorder":[113],"Wilf":[114],"equivalence.":[115],"Finally,":[116],"investigate":[118],"an":[119],"interesting":[120],"connection":[121],"among":[122],"$S_n$,":[129,134],"structure":[132]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
