{"id":"https://openalex.org/W2964341975","doi":"https://doi.org/10.37236/8905","title":"Queens in Exile: Non-attacking Queens on Infinite Chess Boards","display_name":"Queens in Exile: Non-attacking Queens on Infinite Chess Boards","publication_year":2020,"publication_date":"2020-03-06","ids":{"openalex":"https://openalex.org/W2964341975","doi":"https://doi.org/10.37236/8905","mag":"2964341975"},"language":"en","primary_location":{"id":"doi:10.37236/8905","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8905","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i1p52/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":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i1p52/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081366945","display_name":"F. M. Dekking","orcid":null},"institutions":[{"id":"https://openalex.org/I4210131439","display_name":"Applied Mathematics (United States)","ror":"https://ror.org/03seew607","country_code":"US","type":"company","lineage":["https://openalex.org/I4210131439"]},{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL","US"],"is_corresponding":true,"raw_author_name":"F. Michel Dekking","raw_affiliation_strings":["Applied Mathematics (DIAM), Delft University of Technology","(Delft University of Technology)"],"affiliations":[{"raw_affiliation_string":"Applied Mathematics (DIAM), Delft University of Technology","institution_ids":["https://openalex.org/I98358874","https://openalex.org/I4210131439"]},{"raw_affiliation_string":"(Delft University of Technology)","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065322269","display_name":"Jeffrey Shallit","orcid":"https://orcid.org/0000-0003-1197-3820"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jeffrey Shallit","raw_affiliation_strings":["School of Computer Science, University of Waterloo"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, University of Waterloo","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005915779","display_name":"N. J. A. Sloane","orcid":"https://orcid.org/0000-0001-7386-5222"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"N. J. A. Sloane","raw_affiliation_strings":["OEIS Foundation Inc"],"affiliations":[{"raw_affiliation_string":"OEIS Foundation Inc","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5081366945"],"corresponding_institution_ids":["https://openalex.org/I4210131439","https://openalex.org/I98358874"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02231592,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"27","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9983000159263611,"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"}},"topics":[{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9983000159263611,"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/T11574","display_name":"Artificial Intelligence in Games","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6937791705131531},{"id":"https://openalex.org/keywords/quadrant","display_name":"Quadrant (abdomen)","score":0.6363155841827393},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.6090010404586792},{"id":"https://openalex.org/keywords/queen","display_name":"Queen (butterfly)","score":0.5185626149177551},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.51233971118927},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5090217590332031},{"id":"https://openalex.org/keywords/word","display_name":"Word (group theory)","score":0.46948012709617615},{"id":"https://openalex.org/keywords/spiral","display_name":"Spiral (railway)","score":0.46158650517463684},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20560365915298462},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07512632012367249},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.06095921993255615},{"id":"https://openalex.org/keywords/zoology","display_name":"Zoology","score":0.04586508870124817}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6937791705131531},{"id":"https://openalex.org/C2780639617","wikidata":"https://www.wikidata.org/wiki/Q6516972","display_name":"Quadrant (abdomen)","level":2,"score":0.6363155841827393},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.6090010404586792},{"id":"https://openalex.org/C2781321516","wikidata":"https://www.wikidata.org/wiki/Q310836","display_name":"Queen (butterfly)","level":3,"score":0.5185626149177551},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.51233971118927},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5090217590332031},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.46948012709617615},{"id":"https://openalex.org/C174128100","wikidata":"https://www.wikidata.org/wiki/Q846907","display_name":"Spiral (railway)","level":2,"score":0.46158650517463684},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20560365915298462},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07512632012367249},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.06095921993255615},{"id":"https://openalex.org/C90856448","wikidata":"https://www.wikidata.org/wiki/Q431","display_name":"Zoology","level":1,"score":0.04586508870124817},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C2780653484","wikidata":"https://www.wikidata.org/wiki/Q22651","display_name":"Hymenoptera","level":2,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.37236/8905","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8905","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i1p52/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"},{"id":"pmh:oai:arXiv.org:1907.09120","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.09120","pdf_url":"https://arxiv.org/pdf/1907.09120","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":"mag:2964341975","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1907.09120","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:tudelft.nl:uuid:54e10d3a-d90e-4c94-ab1a-ad8057f02cc0","is_oa":true,"landing_page_url":"http://resolver.tudelft.nl/uuid:54e10d3a-d90e-4c94-ab1a-ad8057f02cc0","pdf_url":null,"source":{"id":"https://openalex.org/S4306400906","display_name":"Research Repository (Delft University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98358874","host_organization_name":"Delft University of Technology","host_organization_lineage":["https://openalex.org/I98358874"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal article"},{"id":"doi:10.48550/arxiv.1907.09120","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1907.09120","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:10.37236/8905","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8905","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i1p52/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":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2964341975.pdf","grobid_xml":"https://content.openalex.org/works/W2964341975.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W591990606","https://openalex.org/W1514324498","https://openalex.org/W2047915716","https://openalex.org/W2065497886","https://openalex.org/W2069794288","https://openalex.org/W2188978818","https://openalex.org/W2752853835","https://openalex.org/W2894564506","https://openalex.org/W2915002238","https://openalex.org/W2936839227","https://openalex.org/W2963056426","https://openalex.org/W3014033807","https://openalex.org/W4403143202","https://openalex.org/W6759262816","https://openalex.org/W6873037702"],"related_works":["https://openalex.org/W3012068163","https://openalex.org/W2255600420","https://openalex.org/W2950259248","https://openalex.org/W87268852","https://openalex.org/W2962758663","https://openalex.org/W1580597400","https://openalex.org/W3187058972","https://openalex.org/W3128426939","https://openalex.org/W2591908","https://openalex.org/W2846306731","https://openalex.org/W3003823873","https://openalex.org/W2356423450","https://openalex.org/W2325367874","https://openalex.org/W1995721059","https://openalex.org/W2901689010","https://openalex.org/W2793273550","https://openalex.org/W164352848","https://openalex.org/W2900538974","https://openalex.org/W1588477042","https://openalex.org/W2328368155"],"abstract_inverted_index":{"Number":[0],"the":[1,12,19,45,48,52,88,93],"cells":[2,20],"of":[3,47,58],"a":[4,24,27,55,65,83],"(possibly":[5],"infinite)":[6],"chessboard":[7,57,72],"in":[8,21,26,87],"some":[9],"way":[10],"with":[11,99],"numbers":[13],"$0,":[14],"1,":[15],"2,":[16],"\\ldots$.":[17],"Consider":[18],"order,":[22],"placing":[23],"queen":[25],"cell":[28],"if":[29,32],"and":[30,68],"only":[31],"it":[33],"would":[34],"not":[35],"attack":[36],"any":[37],"earlier":[38],"queen.":[39],"The":[40],"problem":[41,53],"is":[42],"to":[43],"determine":[44],"positions":[46],"queens.":[49],"We":[50,81],"study":[51],"for":[54],"doubly-infinite":[56],"size":[59,74],"$\\mathbb{Z}":[60],"\\times":[61,76],"\\mathbb{Z}$":[62],"numbered":[63,78],"along":[64,79],"square":[66],"spiral,":[67],"an":[69],"infinite":[70],"single-quadrant":[71],"(of":[73],"$\\mathbb{N}":[75],"\\mathbb{N}$)":[77],"antidiagonals.":[80],"give":[82],"fairly":[84],"complete":[85],"solution":[86],"first":[89],"case,":[90],"based":[91],"on":[92],"Tribonacci":[94],"word.":[95],"There":[96],"are":[97],"connections":[98],"combinatorial":[100],"games.":[101]},"counts_by_year":[],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}