{"id":"https://openalex.org/W1524937087","doi":"https://doi.org/10.37236/668","title":"Domino Shuffling on Novak Half-Hexagons and Aztec Half-Diamonds","display_name":"Domino Shuffling on Novak Half-Hexagons and Aztec Half-Diamonds","publication_year":2011,"publication_date":"2011-09-09","ids":{"openalex":"https://openalex.org/W1524937087","doi":"https://doi.org/10.37236/668","mag":"1524937087"},"language":"en","primary_location":{"id":"doi:10.37236/668","is_oa":true,"landing_page_url":"https://doi.org/10.37236/668","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p181/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/v18i1p181/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046157757","display_name":"Eric Nordenstam","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":false,"raw_author_name":"Eric Nordenstam","raw_affiliation_strings":["Univ. of Vienna#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. of Vienna#TAB#","institution_ids":["https://openalex.org/I129774422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012417558","display_name":"Benjamin Young","orcid":"https://orcid.org/0000-0003-1606-3367"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Benjamin Young","raw_affiliation_strings":["Royal Inst. of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Royal Inst. of Technology","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7917,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.80486284,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"18","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":0.9998000264167786,"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":0.9998000264167786,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.998199999332428,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9980999827384949,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/domino","display_name":"Domino","score":0.8951325416564941},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7619720697402954},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.7599267363548279},{"id":"https://openalex.org/keywords/shuffling","display_name":"Shuffling","score":0.7034559845924377},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7026790976524353},{"id":"https://openalex.org/keywords/diamond","display_name":"Diamond","score":0.601988673210144},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4532448351383209},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3567580580711365},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07586309313774109}],"concepts":[{"id":"https://openalex.org/C2776416436","wikidata":"https://www.wikidata.org/wiki/Q3751781","display_name":"Domino","level":3,"score":0.8951325416564941},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7619720697402954},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.7599267363548279},{"id":"https://openalex.org/C167927819","wikidata":"https://www.wikidata.org/wiki/Q1930567","display_name":"Shuffling","level":2,"score":0.7034559845924377},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7026790976524353},{"id":"https://openalex.org/C2776921476","wikidata":"https://www.wikidata.org/wiki/Q5283","display_name":"Diamond","level":2,"score":0.601988673210144},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4532448351383209},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3567580580711365},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07586309313774109},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C161790260","wikidata":"https://www.wikidata.org/wiki/Q82264","display_name":"Catalysis","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/668","is_oa":true,"landing_page_url":"https://doi.org/10.37236/668","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p181/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"}],"best_oa_location":{"id":"doi:10.37236/668","is_oa":true,"landing_page_url":"https://doi.org/10.37236/668","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p181/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":[{"id":"https://openalex.org/G2663668021","display_name":null,"funder_award_id":"KAW 2010.0063","funder_id":"https://openalex.org/F4320322327","funder_display_name":"Knut och Alice Wallenbergs Stiftelse"},{"id":"https://openalex.org/G6928345124","display_name":null,"funder_award_id":"Z130-N13","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G8519078990","display_name":null,"funder_award_id":"2010.0063","funder_id":"https://openalex.org/F4320322327","funder_display_name":"Knut och Alice Wallenbergs Stiftelse"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320322327","display_name":"Knut och Alice Wallenbergs Stiftelse","ror":"https://ror.org/004hzzk67"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1524937087.pdf","grobid_xml":"https://content.openalex.org/works/W1524937087.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1490225209","https://openalex.org/W1491855525","https://openalex.org/W1498000823","https://openalex.org/W1508356799","https://openalex.org/W1535706514","https://openalex.org/W1551177513","https://openalex.org/W1587514819","https://openalex.org/W1622648052","https://openalex.org/W1746987937","https://openalex.org/W1942616285","https://openalex.org/W1987909429","https://openalex.org/W1991885341","https://openalex.org/W2014613951","https://openalex.org/W2018696655","https://openalex.org/W2030234106","https://openalex.org/W2033641596","https://openalex.org/W2063822466","https://openalex.org/W2072491002","https://openalex.org/W2073445741","https://openalex.org/W2090755539","https://openalex.org/W2091216084","https://openalex.org/W2117153650","https://openalex.org/W2181916147","https://openalex.org/W2317423124","https://openalex.org/W2914659449","https://openalex.org/W2952848881","https://openalex.org/W2953286518","https://openalex.org/W3099706877","https://openalex.org/W3102996575","https://openalex.org/W3105939199","https://openalex.org/W4248658188","https://openalex.org/W4295719848"],"related_works":["https://openalex.org/W4213239787","https://openalex.org/W4377131110","https://openalex.org/W2114337652","https://openalex.org/W2376029318","https://openalex.org/W2046590706","https://openalex.org/W2791738351","https://openalex.org/W1587991081","https://openalex.org/W2388301251","https://openalex.org/W1535706514","https://openalex.org/W2795963392"],"abstract_inverted_index":{"We":[0],"explore":[1],"the":[2,5,17,53,59,64],"connections":[3],"between":[4],"well-studied":[6],"Aztec":[7,65],"Diamond":[8],"graphs":[9,15,28],"and":[10],"a":[11,56],"new":[12],"family":[13],"of":[14,27,58],"called":[16],"Half-Hexagons,":[18],"discovered":[19],"by":[20],"Jonathan":[21],"Novak.":[22],"In":[23],"particular,":[24],"both":[25],"families":[26],"have":[29],"very":[30],"simple":[31],"domino":[32],"shuffling":[33],"algorithms,":[34],"which":[35],"turn":[36],"out":[37],"to":[38,46],"be":[39],"intimately":[40],"related.":[41],"This":[42],"connection":[43],"allows":[44],"us":[45],"prove":[47],"an":[48],"\"arctic":[49],"parabola\"":[50],"theorem":[51,62],"for":[52,63],"Half-Hexagons":[54],"as":[55],"corollary":[57],"Arctic":[60],"Circle":[61],"Diamond.":[66]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
