{"id":"https://openalex.org/W1529731426","doi":"https://doi.org/10.37236/680","title":"Connected, Bounded Degree, Triangle Avoidance Games","display_name":"Connected, Bounded Degree, Triangle Avoidance Games","publication_year":2011,"publication_date":"2011-09-26","ids":{"openalex":"https://openalex.org/W1529731426","doi":"https://doi.org/10.37236/680","mag":"1529731426"},"language":"en","primary_location":{"id":"doi:10.37236/680","is_oa":true,"landing_page_url":"https://doi.org/10.37236/680","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p193/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/v18i1p193/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083756935","display_name":"Nishali Mehta","orcid":null},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Nishali Mehta","raw_affiliation_strings":["Ohio State University"],"affiliations":[{"raw_affiliation_string":"Ohio State University","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083769806","display_name":"\u00c1kos Seress","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"\u00c1kos Seress","raw_affiliation_strings":["School of Mathematics and Statistics"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083756935"],"corresponding_institution_ids":["https://openalex.org/I52357470"],"apc_list":null,"apc_paid":null,"fwci":2.6469,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.87167594,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.996999979019165,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.996999979019165,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9965999722480774,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9876000285148621,"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/combinatorics","display_name":"Combinatorics","score":0.8290098905563354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7917782664299011},{"id":"https://openalex.org/keywords/social-connectedness","display_name":"Social connectedness","score":0.7624030113220215},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6629848480224609},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5738043785095215},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.44836023449897766},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4407593309879303}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8290098905563354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7917782664299011},{"id":"https://openalex.org/C201943243","wikidata":"https://www.wikidata.org/wiki/Q7551008","display_name":"Social connectedness","level":2,"score":0.7624030113220215},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6629848480224609},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5738043785095215},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.44836023449897766},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4407593309879303},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/680","is_oa":true,"landing_page_url":"https://doi.org/10.37236/680","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p193/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"},{"id":"pmh:oai:pure.atira.dk:publications/3e57af15-9874-447c-b259-dbce8f05c49c","is_oa":false,"landing_page_url":"https://research-repository.uwa.edu.au/en/publications/3e57af15-9874-447c-b259-dbce8f05c49c","pdf_url":null,"source":{"id":"https://openalex.org/S4306402492","display_name":"UWA Profiles and Research Repository (UWA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mehta, N & Seress, A 2011, 'Connected, bounded degree, triangle avoidance games', The Electronic Journal of Combinatorics, vol. 18, pp. 1-37.","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.37236/680","is_oa":true,"landing_page_url":"https://doi.org/10.37236/680","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p193/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":[{"display_name":"Reduced inequalities","score":0.41999998688697815,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1529731426.pdf","grobid_xml":"https://content.openalex.org/works/W1529731426.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W1520787407","https://openalex.org/W2056892547","https://openalex.org/W2150418671","https://openalex.org/W2159758479"],"related_works":["https://openalex.org/W3125761283","https://openalex.org/W1976722080","https://openalex.org/W2164081328","https://openalex.org/W3152831473","https://openalex.org/W3092556108","https://openalex.org/W1995672666","https://openalex.org/W2154176501","https://openalex.org/W2190085401","https://openalex.org/W3044931971","https://openalex.org/W3008541637"],"abstract_inverted_index":{"We":[0],"consider":[1],"variants":[2],"of":[3,56,74,85,95,112],"the":[4,62,75,86,107],"triangle-avoidance":[5],"game":[6,21],"first":[7],"defined":[8],"by":[9,13],"Harary":[10],"and":[11,26,82,103],"rediscovered":[12],"Hajnal":[14],"a":[15,44,54,89,93],"few":[16],"years":[17],"later.":[18],"A":[19],"graph":[20,29],"begins":[22],"with":[23],"two":[24,34],"players":[25,35,87],"an":[27,67],"empty":[28],"on":[30],"$n$":[31,81],"vertices.":[32],"The":[33,47,59],"take":[36],"turns":[37],"choosing":[38],"edges":[39,48],"within":[40],"$K_{n}$,":[41],"building":[42],"up":[43],"simple":[45],"graph.":[46],"must":[49],"be":[50],"chosen":[51],"according":[52],"to":[53,65],"set":[55],"restrictions":[57,76],"$\\mathcal{R}$.":[58,78],"winner":[60,108],"is":[61],"last":[63],"player":[64],"choose":[66],"edge":[68],"that":[69],"does":[70],"not":[71],"violate":[72],"any":[73],"in":[77],"For":[79,92],"fixed":[80],"$\\mathcal{R}$,":[83],"one":[84],"has":[88],"winning":[90],"strategy.":[91],"pair":[94],"games":[96],"where":[97],"$\\mathcal{R}$":[98],"includes":[99],"bounded":[100],"degree,":[101],"connectedness,":[102],"triangle-avoidance,":[104],"we":[105],"determine":[106],"for":[109],"all":[110],"values":[111],"$n$.":[113]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
