{"id":"https://openalex.org/W3119765340","doi":"https://doi.org/10.1142/s0129054121500027","title":"Remarks on k-Clique, k-Independent Set and 2-Contamination in Complementary Prisms","display_name":"Remarks on k-Clique, k-Independent Set and 2-Contamination in Complementary Prisms","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3119765340","doi":"https://doi.org/10.1142/s0129054121500027","mag":"3119765340"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054121500027","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054121500027","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","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/A5024067339","display_name":"PRISCILA PEREIRA DE CAMARGO","orcid":null},"institutions":[{"id":"https://openalex.org/I161127581","display_name":"Universidade Federal Fluminense","ror":"https://ror.org/02rjhbb08","country_code":"BR","type":"education","lineage":["https://openalex.org/I161127581"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Priscila P. Camargo","raw_affiliation_strings":["Instituto de Computa\u00e7\u00e3o, Universidade Federal Fluminense, Niter\u00f3i, RJ, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Computa\u00e7\u00e3o, Universidade Federal Fluminense, Niter\u00f3i, RJ, Brazil","institution_ids":["https://openalex.org/I161127581"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077019769","display_name":"U\u00e9verton S. Souza","orcid":"https://orcid.org/0000-0002-5320-9209"},"institutions":[{"id":"https://openalex.org/I161127581","display_name":"Universidade Federal Fluminense","ror":"https://ror.org/02rjhbb08","country_code":"BR","type":"education","lineage":["https://openalex.org/I161127581"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"U\u00e9verton S. Souza","raw_affiliation_strings":["Instituto de Computa\u00e7\u00e3o, Universidade Federal Fluminense, Niter\u00f3i, RJ, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-5320-9209","affiliations":[{"raw_affiliation_string":"Instituto de Computa\u00e7\u00e3o, Universidade Federal Fluminense, Niter\u00f3i, RJ, Brazil","institution_ids":["https://openalex.org/I161127581"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055283146","display_name":"Julliano R. Nascimento","orcid":"https://orcid.org/0000-0003-3002-5172"},"institutions":[{"id":"https://openalex.org/I68106152","display_name":"Universidade Federal de Goi\u00e1s","ror":"https://ror.org/0039d5757","country_code":"BR","type":"education","lineage":["https://openalex.org/I68106152"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Julliano R. Nascimento","raw_affiliation_strings":["Instituto de Inform\u00e1tica, Universidade Federal de Goi\u00e1s, Goi\u00e2nia, GO, Brazil"],"raw_orcid":"https://orcid.org/0000-0003-3002-5172","affiliations":[{"raw_affiliation_string":"Instituto de Inform\u00e1tica, Universidade Federal de Goi\u00e1s, Goi\u00e2nia, GO, Brazil","institution_ids":["https://openalex.org/I68106152"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5024067339"],"corresponding_institution_ids":["https://openalex.org/I161127581"],"apc_list":null,"apc_paid":null,"fwci":0.6087,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70712087,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"32","issue":"01","first_page":"37","last_page":"52"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":1.0,"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":1.0,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9993000030517578,"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/T11476","display_name":"Graph theory and applications","score":0.9991999864578247,"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":0.7395818829536438},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.6364949941635132},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6315124034881592},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5764816403388977},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.4277064800262451},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42717689275741577},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4118736982345581},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3455837368965149}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7395818829536438},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.6364949941635132},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6315124034881592},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5764816403388977},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.4277064800262451},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42717689275741577},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4118736982345581},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3455837368965149},{"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:10.1142/s0129054121500027","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054121500027","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6567263748","display_name":null,"funder_award_id":"303726/2017-2","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G8143666658","display_name":null,"funder_award_id":"E-26/203.272/2017","funder_id":"https://openalex.org/F4320322749","funder_display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro"}],"funders":[{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320322749","display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro","ror":"https://ror.org/03kk0s825"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1487872891","https://openalex.org/W1517036688","https://openalex.org/W1570425181","https://openalex.org/W2008080404","https://openalex.org/W2021788611","https://openalex.org/W2030703286","https://openalex.org/W2077962368","https://openalex.org/W2095689360","https://openalex.org/W2133839241","https://openalex.org/W2169213531","https://openalex.org/W2209387264","https://openalex.org/W2219063076","https://openalex.org/W2883134411","https://openalex.org/W2914414140","https://openalex.org/W2982935984","https://openalex.org/W4255199623","https://openalex.org/W4292230561"],"related_works":["https://openalex.org/W2051058708","https://openalex.org/W154868527","https://openalex.org/W1494268238","https://openalex.org/W1983207144","https://openalex.org/W2490706771","https://openalex.org/W2480116122","https://openalex.org/W1976468483","https://openalex.org/W1516574938","https://openalex.org/W2563912921","https://openalex.org/W2407611282"],"abstract_inverted_index":{"Complementary":[0],"prism":[1,73,221],"graphs":[2,74,224],"arise":[3],"from":[4,75],"the":[5,22,66,76,100,103,141,147,193,209,245],"disjoint":[6],"union":[7],"of":[8,24,30,33,59,68,80,102,149,168,185,192,212,222,262],"a":[9,25,57,89,158,165,173,219,260],"graph":[10,42,160],"[Formula:":[11,17,34,38,105,112,116,131,135,142,161,225,229,236,256],"see":[12,18,35,39,106,113,117,132,136,143,162,226,230,237,257],"text]":[13,19,36,163,227,231],"and":[14,37,47,91,115,228],"its":[15,186],"complement":[16],"by":[20,99,130],"adding":[21],"edges":[23],"perfect":[26],"matching":[27],"joining":[28],"pairs":[29],"corresponding":[31],"vertices":[32,215],"text].":[40,107,137,238],"Classical":[41],"problems":[43,70,87],"such":[44,56],"as":[45],"Clique":[46],"Independent":[48],"Set":[49,119],"were":[50],"proved":[51],"to":[52,175,217],"be":[53,176,203],"NP-complete":[54],"on":[55,71,120,252],"class":[58],"graphs.":[60],"In":[61,239],"this":[62,196,240,250],"work,":[63],"we":[64,83,109,139,242],"study":[65],"complexity":[67,78],"both":[69,86],"complementary":[72,121,150,220,253],"parameterized":[77,98,129],"point":[79],"view.":[81],"First,":[82],"prove":[84],"that":[85,111,181,208,244],"admit":[88,125],"kernel":[90,127],"therefore":[92],"are":[93,188],"fixed-parameter":[94],"tractable":[95],"(FPT)":[96],"when":[97,128],"size":[101],"solution,":[104],"Then,":[108],"show":[110,243],"text]-Clique":[114],"text]-Independent":[118],"prisms":[122,254],"do":[123],"not":[124],"polynomial":[126],"text],":[133,258],"unless":[134],"Furthermore,":[138],"address":[140],"text]-Contamination":[144],"problem":[145,153],"in":[146,155],"context":[148],"prisms.":[151],"This":[152],"consists":[154],"completely":[156],"contaminating":[157],"given":[159],"using":[164],"minimum":[166,210],"set":[167,211],"initially":[169,213],"infected":[170],"vertices.":[171],"For":[172],"vertex":[174,201],"contaminated,":[177],"it":[178],"is":[179,206,255],"enough":[180],"at":[182,234],"least":[183],"two":[184],"neighbors":[187],"contaminated.":[189,204],"The":[190],"propagation":[191],"contamination":[194],"follows":[195],"rule":[197],"until":[198],"no":[199],"more":[200],"can":[202],"It":[205],"known":[207],"contaminated":[214],"necessary":[216],"contaminate":[218],"connected":[223],"has":[232],"cardinality":[233],"most":[235],"paper,":[241],"tight":[246],"upper":[247],"bound":[248],"for":[249],"invariant":[251],"improving":[259],"result":[261],"Duarte":[263],"et":[264],"al.":[265],"(2017).":[266]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}