{"id":"https://openalex.org/W4387774400","doi":"https://doi.org/10.1142/s0129054123500247","title":"Algorithmic Aspects of Total Vertex-Edge Domination in Graphs","display_name":"Algorithmic Aspects of Total Vertex-Edge Domination in Graphs","publication_year":2023,"publication_date":"2023-10-19","ids":{"openalex":"https://openalex.org/W4387774400","doi":"https://doi.org/10.1142/s0129054123500247"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054123500247","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1142/s0129054123500247","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/A5090659552","display_name":"H. Naresh Kumar","orcid":"https://orcid.org/0000-0002-1717-239X"},"institutions":[{"id":"https://openalex.org/I932239252","display_name":"SASTRA University","ror":"https://ror.org/032jk8892","country_code":"IN","type":"education","lineage":["https://openalex.org/I932239252"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"H. Naresh Kumar","raw_affiliation_strings":["Department of Mathematics, School of Arts, Science, Humanities and Education, SASTRA Deemed University, Thanjavur, India"],"raw_orcid":"https://orcid.org/0000-0002-1717-239X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Arts, Science, Humanities and Education, SASTRA Deemed University, Thanjavur, India","institution_ids":["https://openalex.org/I932239252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008747635","display_name":"Mustapha Chellali","orcid":"https://orcid.org/0000-0001-5231-6195"},"institutions":[{"id":"https://openalex.org/I83332908","display_name":"University of Blida","ror":"https://ror.org/03g41pw14","country_code":"DZ","type":"education","lineage":["https://openalex.org/I83332908"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Mustapha Chellali","raw_affiliation_strings":["LAMDA-RO Laboratory, Department of Mathematics, University of Blida, B.P. 270, Blida, Algeria"],"raw_orcid":"https://orcid.org/0000-0001-5231-6195","affiliations":[{"raw_affiliation_string":"LAMDA-RO Laboratory, Department of Mathematics, University of Blida, B.P. 270, Blida, Algeria","institution_ids":["https://openalex.org/I83332908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043202535","display_name":"Y. B. Venkatakrishnan","orcid":"https://orcid.org/0000-0003-4560-2040"},"institutions":[{"id":"https://openalex.org/I932239252","display_name":"SASTRA University","ror":"https://ror.org/032jk8892","country_code":"IN","type":"education","lineage":["https://openalex.org/I932239252"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Y. B. Venkatakrishnan","raw_affiliation_strings":["Department of Mathematics, School of Arts, Science, Humanities and Education, SASTRA Deemed University, Thanjavur, India"],"raw_orcid":"https://orcid.org/0000-0003-4560-2040","affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Arts, Science, Humanities and Education, SASTRA Deemed University, Thanjavur, India","institution_ids":["https://openalex.org/I932239252"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043202535"],"corresponding_institution_ids":["https://openalex.org/I932239252"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20834583,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9810000061988831,"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":0.9810000061988831,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8093017339706421},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.7059941291809082},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6718867421150208},{"id":"https://openalex.org/keywords/dominating-set","display_name":"Dominating set","score":0.6005745530128479},{"id":"https://openalex.org/keywords/neighbourhood","display_name":"Neighbourhood (mathematics)","score":0.5752608776092529},{"id":"https://openalex.org/keywords/edge-cover","display_name":"Edge cover","score":0.4905378222465515},{"id":"https://openalex.org/keywords/domination-analysis","display_name":"Domination analysis","score":0.4688020348548889},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.42913055419921875},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3874983787536621},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3808095455169678}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8093017339706421},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7059941291809082},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6718867421150208},{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.6005745530128479},{"id":"https://openalex.org/C161677786","wikidata":"https://www.wikidata.org/wiki/Q2478475","display_name":"Neighbourhood (mathematics)","level":2,"score":0.5752608776092529},{"id":"https://openalex.org/C17762858","wikidata":"https://www.wikidata.org/wiki/Q594001","display_name":"Edge cover","level":3,"score":0.4905378222465515},{"id":"https://openalex.org/C83833204","wikidata":"https://www.wikidata.org/wiki/Q5290322","display_name":"Domination analysis","level":4,"score":0.4688020348548889},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.42913055419921875},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3874983787536621},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3808095455169678},{"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/s0129054123500247","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1142/s0129054123500247","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/G336695367","display_name":null,"funder_award_id":"SR/FST/MSI-107/2015(c)","funder_id":"https://openalex.org/F4320325852","funder_display_name":"SASTRA University"},{"id":"https://openalex.org/G4784077039","display_name":null,"funder_award_id":"MTR/2018/000234","funder_id":"https://openalex.org/F4320334771","funder_display_name":"Science and Engineering Research Board"}],"funders":[{"id":"https://openalex.org/F4320325852","display_name":"SASTRA University","ror":"https://ror.org/032jk8892"},{"id":"https://openalex.org/F4320334771","display_name":"Science and Engineering Research Board","ror":"https://ror.org/03ffdsr55"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W560340026","https://openalex.org/W2028613978","https://openalex.org/W2038225707","https://openalex.org/W2051431590","https://openalex.org/W2113764055","https://openalex.org/W2624999672","https://openalex.org/W2963893664"],"related_works":["https://openalex.org/W2794522194","https://openalex.org/W2963404550","https://openalex.org/W30750922","https://openalex.org/W2033190383","https://openalex.org/W4235356280","https://openalex.org/W4299822763","https://openalex.org/W2339280209","https://openalex.org/W2763279932","https://openalex.org/W3118953946","https://openalex.org/W2612157706"],"abstract_inverted_index":{"A":[0,30],"vertex":[1,52],"[Formula:":[2,9,17,32,45,54,62,127,132,136],"see":[3,10,18,33,46,55,63,128,133,137],"text]":[4,11,19,34,47,56,64,129,134],"of":[5,44,53,82],"a":[6,36,51,77,105],"simple":[7],"graph":[8],"ve-dominates":[12],"every":[13,23,42],"edge":[14,24,43],"incident":[15,28],"to":[16,26,75],"as":[20,22],"well":[21],"adjacent":[25],"these":[27],"edges.":[29],"set":[31,40,81],"is":[35,48,74,97,149],"total":[37,70,78,93,119,145],"vertex-edge":[38,71,79,94,120,146],"dominating":[39,80],"if":[41],"ve-dominated":[49],"by":[50,61],"and":[57],"the":[58,92,117,143],"subgraph":[59],"induced":[60],"has":[65],"no":[66],"isolated":[67],"vertex.":[68],"The":[69],"domination":[72,95,121,147],"problem":[73,96,110,122,148],"find":[76],"minimum":[83,118,144],"cardinality.":[84],"In":[85],"this":[86,109],"paper,":[87],"we":[88,103,114,140],"first":[89],"show":[90,115],"that":[91,116,142],"NP-complete":[98],"for":[99,108,130,151],"chordal":[100],"graphs.":[101,153],"Then":[102],"provide":[104],"linear-time":[106],"algorithm":[107],"in":[111],"trees.":[112],"Moreover,":[113],"cannot":[123],"be":[124],"approximated":[125],"within":[126],"any":[131],"unless":[135],"text]).":[138],"Finally,":[139],"prove":[141],"APX-complete":[150],"bounded-degree":[152]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}