{"id":"https://openalex.org/W4211068830","doi":"https://doi.org/10.1142/s1793830922500574","title":"Total outer connected vertex-edge domination","display_name":"Total outer connected vertex-edge domination","publication_year":2022,"publication_date":"2022-02-11","ids":{"openalex":"https://openalex.org/W4211068830","doi":"https://doi.org/10.1142/s1793830922500574"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830922500574","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830922500574","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"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":"Discrete Mathematics, Algorithms and Applications","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/A5102762450","display_name":"B. Senthilkumar","orcid":null},"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":"B. Senthilkumar","raw_affiliation_strings":["Department of Mathematics, School of Arts, Science, Humanities and Education, SASTRA Deemed to be University, Tanjore, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Arts, Science, Humanities and Education, SASTRA Deemed to be University, Tanjore, India","institution_ids":["https://openalex.org/I932239252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090659552","display_name":"H. Naresh Kumar","orcid":"https://orcid.org/0009-0000-7620-4542"},"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, Srinivasa Ramanujan Center, SASTRA Deemed to be University, Tanjore, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Arts, Science, Humanities and Education, Srinivasa Ramanujan Center, SASTRA Deemed to be University, Tanjore, India","institution_ids":["https://openalex.org/I932239252"]}]},{"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 to be University, Tanjore, 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 to be University, Tanjore, India","institution_ids":["https://openalex.org/I932239252"]}]}],"institutions":[],"countries_distinct_count":1,"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":0.1508,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.45864088,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"15","issue":"01","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9991000294685364,"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":0.9991000294685364,"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":0.9682999849319458,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9085000157356262,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.8140053153038025},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6828476190567017},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6676125526428223},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.4705125689506531},{"id":"https://openalex.org/keywords/neighbourhood","display_name":"Neighbourhood (mathematics)","score":0.432524710893631},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.39539724588394165},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34615933895111084}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8140053153038025},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6828476190567017},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6676125526428223},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.4705125689506531},{"id":"https://openalex.org/C161677786","wikidata":"https://www.wikidata.org/wiki/Q2478475","display_name":"Neighbourhood (mathematics)","level":2,"score":0.432524710893631},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.39539724588394165},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34615933895111084},{"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/s1793830922500574","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830922500574","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"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":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.6299999952316284,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"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/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":11,"referenced_works":["https://openalex.org/W560340026","https://openalex.org/W1972605311","https://openalex.org/W2034961945","https://openalex.org/W2051431590","https://openalex.org/W2113764055","https://openalex.org/W2162976033","https://openalex.org/W2231408977","https://openalex.org/W2512973258","https://openalex.org/W2624999672","https://openalex.org/W2663774503","https://openalex.org/W2949161809"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2371352078","https://openalex.org/W2953461625","https://openalex.org/W4393363920","https://openalex.org/W2077383796","https://openalex.org/W2080136900","https://openalex.org/W2999799752","https://openalex.org/W2372768926","https://openalex.org/W2054458431","https://openalex.org/W2902222102"],"abstract_inverted_index":{"A":[0,37],"vertex":[1,72],"[Formula:":[2,11,21,34,39,53,60,64,74,81,93,123,138,142,146],"see":[3,12,14,22,35,40,54,61,65,67,75,82,94,124,139,143,147],"text]":[4,15,41,55,62,68,83,95,140,144,148],"of":[5,50,102,136,162,177],"a":[6,43,51,71,178],"graph":[7,52],"is":[8,42,63,96,122],"said":[9],"to":[10,30,33],"text]-[Formula:":[13,66],"dominate":[16],"every":[17,27,57,134],"edge":[18,28,58,163,165,168],"incident":[19,29],"with":[20,141],"text],":[23,76],"as":[24,26],"well":[25],"vertices":[31,87],"adjacent":[32],"text].":[36],"subset":[38],"total":[44,103,117,171],"outer":[45,104,172],"connected":[46,105,173],"vertex-edge":[47,106,119,174],"dominating":[48],"set":[49],"if":[56],"in":[59,73,108],"dominated":[69],"by":[70,80,92],"the":[77,89,100,113,151,154,160],"subgraph":[78,90],"induced":[79,91],"has":[84],"no":[85],"isolated":[86],"and":[88,149,167],"connected.":[97],"We":[98,110,130,157],"initiate":[99],"study":[101,159],"domination":[107,120,175],"graphs.":[109,129],"show":[111],"that":[112,132],"decision":[114],"problem":[115,121],"for":[116,127,133],"outer-connected":[118],"text]-Complete":[125],"even":[126],"bipartite":[128],"prove":[131],"tree":[135],"order":[137],"leaves,":[145],"characterize":[150],"trees":[152],"attaining":[153],"lower":[155],"bound.":[156],"also":[158],"effect":[161],"removal,":[164],"addition":[166],"subdivision":[169],"on":[170],"number":[176],"graph.":[179]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}