{"id":"https://openalex.org/W2069827532","doi":"https://doi.org/10.1080/00207160.2014.881476","title":"A 2-approximation algorithm for the vertex cover<i>P</i><sub>4</sub>problem in cubic graphs","display_name":"A 2-approximation algorithm for the vertex cover<i>P</i><sub>4</sub>problem in cubic graphs","publication_year":2014,"publication_date":"2014-01-17","ids":{"openalex":"https://openalex.org/W2069827532","doi":"https://doi.org/10.1080/00207160.2014.881476","mag":"2069827532"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2014.881476","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2014.881476","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer 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/A5100743491","display_name":"Yuchao Li","orcid":"https://orcid.org/0000-0002-3369-2432"},"institutions":[{"id":"https://openalex.org/I75390827","display_name":"Beijing University of Chemical Technology","ror":"https://ror.org/00df5yc52","country_code":"CN","type":"education","lineage":["https://openalex.org/I75390827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuchao Li","raw_affiliation_strings":["School of Science, Beijing University of Chemical Technology, Beijing 100029, China","School of Science, Beijing University of Chemical Technology, Beijing100029, China#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Science, Beijing University of Chemical Technology, Beijing 100029, China","institution_ids":["https://openalex.org/I75390827"]},{"raw_affiliation_string":"School of Science, Beijing University of Chemical Technology, Beijing100029, China#TAB#","institution_ids":["https://openalex.org/I75390827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101728553","display_name":"Jianhua Tu","orcid":"https://orcid.org/0000-0002-7667-2116"},"institutions":[{"id":"https://openalex.org/I75390827","display_name":"Beijing University of Chemical Technology","ror":"https://ror.org/00df5yc52","country_code":"CN","type":"education","lineage":["https://openalex.org/I75390827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jianhua Tu","raw_affiliation_strings":["School of Science, Beijing University of Chemical Technology, Beijing 100029, China","School of Science, Beijing University of Chemical Technology, Beijing100029, China#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Science, Beijing University of Chemical Technology, Beijing 100029, China","institution_ids":["https://openalex.org/I75390827"]},{"raw_affiliation_string":"School of Science, Beijing University of Chemical Technology, Beijing100029, China#TAB#","institution_ids":["https://openalex.org/I75390827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101728553"],"corresponding_institution_ids":["https://openalex.org/I75390827"],"apc_list":null,"apc_paid":null,"fwci":2.4926,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.89405417,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"91","issue":"10","first_page":"2103","last_page":"2108"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9994000196456909,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.994700014591217,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/vertex-cover","display_name":"Vertex cover","score":0.876218318939209},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7696568965911865},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6680291295051575},{"id":"https://openalex.org/keywords/edge-cover","display_name":"Edge cover","score":0.6278159618377686},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6141863465309143},{"id":"https://openalex.org/keywords/feedback-vertex-set","display_name":"Feedback vertex set","score":0.5176008939743042},{"id":"https://openalex.org/keywords/maximal-independent-set","display_name":"Maximal independent set","score":0.48012351989746094},{"id":"https://openalex.org/keywords/independent-set","display_name":"Independent set","score":0.4473845958709717},{"id":"https://openalex.org/keywords/dominating-set","display_name":"Dominating set","score":0.4324633777141571},{"id":"https://openalex.org/keywords/cubic-graph","display_name":"Cubic graph","score":0.4293099641799927},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.4122151732444763},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4116937518119812},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.3948550224304199},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.37015557289123535},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.3409258723258972},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.21582844853401184},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.114373117685318}],"concepts":[{"id":"https://openalex.org/C40687702","wikidata":"https://www.wikidata.org/wiki/Q11515519","display_name":"Vertex cover","level":3,"score":0.876218318939209},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7696568965911865},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6680291295051575},{"id":"https://openalex.org/C17762858","wikidata":"https://www.wikidata.org/wiki/Q594001","display_name":"Edge cover","level":3,"score":0.6278159618377686},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6141863465309143},{"id":"https://openalex.org/C28723256","wikidata":"https://www.wikidata.org/wiki/Q1400918","display_name":"Feedback vertex set","level":4,"score":0.5176008939743042},{"id":"https://openalex.org/C18359143","wikidata":"https://www.wikidata.org/wiki/Q7888149","display_name":"Maximal independent set","level":5,"score":0.48012351989746094},{"id":"https://openalex.org/C122818955","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independent set","level":3,"score":0.4473845958709717},{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.4324633777141571},{"id":"https://openalex.org/C100500283","wikidata":"https://www.wikidata.org/wiki/Q1374495","display_name":"Cubic graph","level":5,"score":0.4293099641799927},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.4122151732444763},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4116937518119812},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.3948550224304199},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.37015557289123535},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.3409258723258972},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.21582844853401184},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.114373117685318},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2014.881476","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2014.881476","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W154393378","https://openalex.org/W1968635621","https://openalex.org/W2007945292","https://openalex.org/W2019831445","https://openalex.org/W2030087828","https://openalex.org/W2034112762","https://openalex.org/W2052790720","https://openalex.org/W2070576097","https://openalex.org/W2125455032"],"related_works":["https://openalex.org/W3003449463","https://openalex.org/W2963989216","https://openalex.org/W2804969619","https://openalex.org/W4301100693","https://openalex.org/W2964258819","https://openalex.org/W2742166337","https://openalex.org/W4297693688","https://openalex.org/W2359923140","https://openalex.org/W2947118872","https://openalex.org/W2037935057"],"abstract_inverted_index":{"A":[0],"subset":[1],"F":[2],"of":[3,5,19,37],"vertices":[4],"a":[6,11,38,54,117],"graph":[7],"G":[8,23],"is":[9,51,61,97],"called":[10],"vertex":[12,28,39,46,56,73],"cover":[13,40,47,57,74],"Pk":[14,41,48,58],"set":[15,42],"if":[16],"every":[17],"path":[18],"order":[20],"k":[21],"in":[22,43,87,124],"contains":[24],"at":[25],"least":[26],"one":[27],"from":[29],"F.":[30],"Denote":[31],"by":[32],"\u03c8k(G)":[33],"the":[34,66,71,84,94,121],"minimum":[35,55],"cardinality":[36],"G.":[44],"The":[45,90],"(VCPk)":[49],"problem":[50,68,86,96,123],"to":[52,63,70,83],"find":[53],"set.":[59],"It":[60],"easy":[62],"see":[64],"that":[65,93],"VCP2":[67],"corresponds":[69],"well-known":[72],"problem.":[75],"In":[76],"this":[77],"paper,":[78],"we":[79,103],"restrict":[80],"our":[81],"attention":[82],"VCP4":[85,95,122],"cubic":[88,100,113,125],"graphs.":[89,101,126],"paper":[91],"proves":[92],"NP-hard":[98],"for":[99,112,120],"Further,":[102],"give":[104],"sharp":[105],"lower":[106],"and":[107,115],"upper":[108],"bounds":[109],"on":[110],"\u03c84(G)":[111],"graphs":[114],"propose":[116],"2-approximation":[118],"algorithm":[119]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
