{"id":"https://openalex.org/W4391658121","doi":"https://doi.org/10.1051/ro/2024037","title":"Semitotal domination versus domination and total domination in trees","display_name":"Semitotal domination versus domination and total domination in trees","publication_year":2024,"publication_date":"2024-02-08","ids":{"openalex":"https://openalex.org/W4391658121","doi":"https://doi.org/10.1051/ro/2024037"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2024037","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2024037","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro230599.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro230599.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058919260","display_name":"Wei Zhuang","orcid":"https://orcid.org/0000-0003-1104-5768"},"institutions":[{"id":"https://openalex.org/I75867142","display_name":"Xiamen University of Technology","ror":"https://ror.org/01285e189","country_code":"CN","type":"education","lineage":["https://openalex.org/I75867142"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wei Zhuang","raw_affiliation_strings":["School of Mathematics and Statistics , Xiamen University of Technology , Xiamen 361024 , P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics , Xiamen University of Technology , Xiamen 361024 , P.R. China","institution_ids":["https://openalex.org/I75867142"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5058919260"],"corresponding_institution_ids":["https://openalex.org/I75867142"],"apc_list":{"value":0,"currency":"USD","value_usd":0},"apc_paid":null,"fwci":0.9654,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.75578642,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"58","issue":"2","first_page":"1249","last_page":"1256"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9968000054359436,"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":0.9968000054359436,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.9165999889373779,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/domination-analysis","display_name":"Domination analysis","score":0.6011708378791809},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3792576193809509},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33785054087638855},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.06329932808876038},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.03818824887275696}],"concepts":[{"id":"https://openalex.org/C83833204","wikidata":"https://www.wikidata.org/wiki/Q5290322","display_name":"Domination analysis","level":4,"score":0.6011708378791809},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3792576193809509},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33785054087638855},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.06329932808876038},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.03818824887275696}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1051/ro/2024037","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2024037","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro230599.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1051/ro/2024037","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2024037","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/forth/ro230599.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6234950039","display_name":null,"funder_award_id":"2015J05017","funder_id":"https://openalex.org/F4320321878","funder_display_name":"Natural Science Foundation of Fujian Province"},{"id":"https://openalex.org/G6417771849","display_name":null,"funder_award_id":"11301440","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321878","display_name":"Natural Science Foundation of Fujian Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4391658121.pdf","grobid_xml":"https://content.openalex.org/works/W4391658121.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W1997787124","https://openalex.org/W2099431244","https://openalex.org/W2104859703","https://openalex.org/W2810361817","https://openalex.org/W2981595788","https://openalex.org/W2983858766","https://openalex.org/W3006676732","https://openalex.org/W3180032410"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W1976691234","https://openalex.org/W2963176699","https://openalex.org/W2888180870","https://openalex.org/W4205905997","https://openalex.org/W2986400025"],"abstract_inverted_index":{"A":[0],"set":[1,11,19,49],"S":[2,26],"of":[3,12,20,31,34,45,50,84],"vertices":[4],"in":[5,25],"G":[6,13,21],"is":[7,16,27,41,67],"a":[8,17,46,69],"semitotal":[9,37,47],"dominating":[10,18,48],"if":[14],"it":[15],"and":[22,77,80],"every":[23],"vertex":[24,33],"within":[28],"distance":[29],"2":[30],"another":[32],"S.":[35],"The":[36],"domination":[38],"number,":[39],"\u03b3t2(G),":[40],"the":[42,73,87],"minimum":[43],"cardinality":[44],"G.":[51],"Clearly,":[52],"\u03b3(G)":[53],"\u2264":[54,56],"\u03b3t2(G)":[55],"\u03b3t(G).":[57],"In":[58],"this":[59],"paper,":[60],"for":[61],"any":[62],"nontrivial":[63],"tree":[64],"T":[65],"that":[66],"not":[68],"star,":[70],"we":[71],"investigate":[72],"ratios":[74],"\u03b3t2(T":[75],")/\u03b3(T)":[76],"\u03b3t(T":[78],")/\u03b3t2(T),":[79],"provide":[81],"constructive":[82],"characterizations":[83],"trees":[85],"achieving":[86],"upper":[88],"bounds.":[89]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-08-29T07:29:34.045763","created_date":"2025-10-10T00:00:00"}
