{"id":"https://openalex.org/W1592551147","doi":"https://doi.org/10.37236/2765","title":"Circular Nim Games","display_name":"Circular Nim Games","publication_year":2013,"publication_date":"2013-04-30","ids":{"openalex":"https://openalex.org/W1592551147","doi":"https://doi.org/10.37236/2765","mag":"1592551147"},"language":"en","primary_location":{"id":"doi:10.37236/2765","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2765","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i2p22/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/v20i2p22/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001768490","display_name":"Matthieu Dufour","orcid":null},"institutions":[{"id":"https://openalex.org/I159129438","display_name":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al","ror":"https://ror.org/002rjbv21","country_code":"CA","type":"education","lineage":["https://openalex.org/I159129438","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Matthieu Dufour","raw_affiliation_strings":["Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al","Universite du Quebec `a Montreal"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al","institution_ids":["https://openalex.org/I159129438"]},{"raw_affiliation_string":"Universite du Quebec `a Montreal","institution_ids":["https://openalex.org/I159129438"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061284771","display_name":"Silvia Heubach","orcid":"https://orcid.org/0000-0002-5347-6470"},"institutions":[{"id":"https://openalex.org/I27825529","display_name":"California State University Los Angeles","ror":"https://ror.org/0294hxs80","country_code":"US","type":"education","lineage":["https://openalex.org/I27825529"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Silvia Heubach","raw_affiliation_strings":["California State University Los Angeles","CALIFORNIA STATE UNIVERSITY, LOS ANGELES"],"affiliations":[{"raw_affiliation_string":"California State University Los Angeles","institution_ids":["https://openalex.org/I27825529"]},{"raw_affiliation_string":"CALIFORNIA STATE UNIVERSITY, LOS ANGELES","institution_ids":["https://openalex.org/I27825529"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5001768490"],"corresponding_institution_ids":["https://openalex.org/I159129438"],"apc_list":null,"apc_paid":null,"fwci":1.9236,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.87455918,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"20","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11574","display_name":"Artificial Intelligence in Games","score":0.9976000189781189,"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"}},"topics":[{"id":"https://openalex.org/T11574","display_name":"Artificial Intelligence in Games","score":0.9976000189781189,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9598000049591064,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.902899980545044,"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/security-token","display_name":"Security token","score":0.6830393075942993},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6655186414718628},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6624472141265869},{"id":"https://openalex.org/keywords/combinatorial-game-theory","display_name":"Combinatorial game theory","score":0.4827810823917389},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34765303134918213},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2813456654548645},{"id":"https://openalex.org/keywords/sequential-game","display_name":"Sequential game","score":0.20452073216438293},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.20219218730926514},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.17368656396865845},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.06702989339828491}],"concepts":[{"id":"https://openalex.org/C48145219","wikidata":"https://www.wikidata.org/wiki/Q1335365","display_name":"Security token","level":2,"score":0.6830393075942993},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6655186414718628},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6624472141265869},{"id":"https://openalex.org/C102234262","wikidata":"https://www.wikidata.org/wiki/Q1320931","display_name":"Combinatorial game theory","level":4,"score":0.4827810823917389},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34765303134918213},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2813456654548645},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.20452073216438293},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.20219218730926514},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.17368656396865845},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.06702989339828491}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/2765","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2765","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i2p22/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:10.37236/2765","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2765","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i2p22/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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1592551147.pdf","grobid_xml":"https://content.openalex.org/works/W1592551147.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W1517986078","https://openalex.org/W1809103853","https://openalex.org/W2130726189","https://openalex.org/W2330301979","https://openalex.org/W2894564506","https://openalex.org/W3159034505"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2970530566","https://openalex.org/W4245490552","https://openalex.org/W2967478618","https://openalex.org/W2997152889","https://openalex.org/W4225152035","https://openalex.org/W4385572700","https://openalex.org/W4388335561","https://openalex.org/W2061531152"],"abstract_inverted_index":{"A":[0,21],"circular":[1],"Nim":[2],"game":[3,10],"is":[4],"a":[5,19,49],"two":[6],"player":[7,45],"impartial":[8],"combinatorial":[9],"consisting":[11],"of":[12,15,24,39,58],"$n$":[13,64],"stacks":[14],"tokens":[16],"placed":[17],"in":[18],"circle.":[20],"move":[22,50],"consists":[23],"choosing":[25],"$k$":[26,41,66],"consecutive":[27],"stacks,":[28],"and":[29,65,67],"taking":[30],"at":[31],"least":[32],"one":[33,36],"token":[34],"from":[35],"or":[37],"more":[38],"the":[40,56,59],"stacks.":[42],"The":[43],"last":[44],"able":[46],"to":[47],"make":[48],"wins.":[51],"We":[52],"prove":[53],"results":[54],"on":[55],"structure":[57],"losing":[60],"positions":[61],"for":[62,72],"small":[63],"pose":[68],"some":[69],"open":[70],"questions":[71],"further":[73],"investigations.":[74]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
