{"id":"https://openalex.org/W2044216784","doi":"https://doi.org/10.1137/130926614","title":"A Solution to the 2/3 Conjecture","display_name":"A Solution to the 2/3 Conjecture","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2044216784","doi":"https://doi.org/10.1137/130926614","mag":"2044216784"},"language":"en","primary_location":{"id":"doi:10.1137/130926614","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130926614","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027980386","display_name":"Rahil Baber","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Rahil Baber","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5002343159","display_name":"John Talbot","orcid":"https://orcid.org/0000-0002-4119-9429"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"John Talbot","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027980386"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.4351,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.96434635,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"28","issue":"2","first_page":"756","last_page":"766"},"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":0.9997000098228455,"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/T11329","display_name":"Limits and Structures in Graph Theory","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/T10374","display_name":"Advanced Graph Theory Research","score":0.9988999962806702,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9979000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.8912577033042908},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.844484806060791},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8211449384689331},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6612028479576111},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5285056233406067},{"id":"https://openalex.org/keywords/colored","display_name":"Colored","score":0.48111170530319214},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4598875939846039},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41364577412605286}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8912577033042908},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.844484806060791},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8211449384689331},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6612028479576111},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5285056233406067},{"id":"https://openalex.org/C2778307483","wikidata":"https://www.wikidata.org/wiki/Q5149038","display_name":"Colored","level":2,"score":0.48111170530319214},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4598875939846039},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41364577412605286},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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":1,"locations":[{"id":"doi:10.1137/130926614","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130926614","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1999613943","https://openalex.org/W2007044730","https://openalex.org/W2007709851","https://openalex.org/W2034871182","https://openalex.org/W2115609426","https://openalex.org/W2142664334","https://openalex.org/W2168244850","https://openalex.org/W4248232393"],"related_works":["https://openalex.org/W2140509105","https://openalex.org/W3146178872","https://openalex.org/W4235907447","https://openalex.org/W2072835713","https://openalex.org/W4205128724","https://openalex.org/W2040849466","https://openalex.org/W346008744","https://openalex.org/W4284887816","https://openalex.org/W891964471","https://openalex.org/W2484916042"],"abstract_inverted_index":{"We":[0],"prove":[1],"a":[2,28],"vertex":[3],"domination":[4],"conjecture":[5],"of":[6,30,43,51],"Erd\u00f6s,":[7],"Faudree,":[8],"Gould,":[9],"Gy\u00e1rf\u00e1s,":[10],"Rousseau,":[11],"and":[12],"Schelp":[13],"that":[14],"for":[15,63],"every":[16],"$n$-vertex":[17],"complete":[18],"graph":[19],"with":[20],"edges":[21],"colored":[22],"using":[23],"three":[24,33],"colors":[25],"there":[26],"exists":[27],"set":[29],"at":[31,37],"most":[32],"vertices":[34],"which":[35],"have":[36],"least":[38],"2n/3":[39],"neighbors":[40],"in":[41,55],"one":[42],"the":[44,52,64],"colors.":[45],"Our":[46],"proof":[47],"makes":[48],"extensive":[49],"use":[50],"ideas":[53],"presented":[54],"[D.":[56],"Kr\u00e1l'":[57],"et":[58],"al.,":[59],"A":[60],"new":[61],"bound":[62],"2/3":[65],"conjecture,":[66],"Combin.":[67],"Probab.":[68],"Comput.":[69],"22":[70],"(2013),":[71],"pp.":[72],"384--393].":[73]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
