Abdata Guluma Erana, V.N. Srinivasa Rao Repalle, Fekadu Tesgera Agama
{"title":"图里雅姆图中的支配和配对支配及其应用","authors":"Abdata Guluma Erana, V.N. Srinivasa Rao Repalle, Fekadu Tesgera Agama","doi":"10.1016/j.sciaf.2024.e02453","DOIUrl":null,"url":null,"abstract":"<div><div>A potent tool in the theory of graphs, the Neutrosophic graph, is used to describe the variety of real-world cases with uncertainty brought on by ambiguous, inconsistent, and unpredictable data. In order to handle unpredictability in data sets larger than the current true, false, and not exactly known zones, the Turiyam graph was recently introduced. In both theoretical and applied graph theory environments, the ideas of domination and paired domination are crucial. For this reason, the current study introduces the ideas of domination and paired domination in Turiyam graphs together with the characteristics of each concept. Furthermore, domination in complete bipartite graphs, strong paired domination, and the application of paired domination are all worked out.</div></div>","PeriodicalId":21690,"journal":{"name":"Scientific African","volume":"26 ","pages":"Article e02453"},"PeriodicalIF":2.7000,"publicationDate":"2024-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Domination and paired domination in Turiyam graphs with application\",\"authors\":\"Abdata Guluma Erana, V.N. Srinivasa Rao Repalle, Fekadu Tesgera Agama\",\"doi\":\"10.1016/j.sciaf.2024.e02453\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>A potent tool in the theory of graphs, the Neutrosophic graph, is used to describe the variety of real-world cases with uncertainty brought on by ambiguous, inconsistent, and unpredictable data. In order to handle unpredictability in data sets larger than the current true, false, and not exactly known zones, the Turiyam graph was recently introduced. In both theoretical and applied graph theory environments, the ideas of domination and paired domination are crucial. For this reason, the current study introduces the ideas of domination and paired domination in Turiyam graphs together with the characteristics of each concept. Furthermore, domination in complete bipartite graphs, strong paired domination, and the application of paired domination are all worked out.</div></div>\",\"PeriodicalId\":21690,\"journal\":{\"name\":\"Scientific African\",\"volume\":\"26 \",\"pages\":\"Article e02453\"},\"PeriodicalIF\":2.7000,\"publicationDate\":\"2024-10-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Scientific African\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2468227624003958\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Scientific African","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2468227624003958","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
Domination and paired domination in Turiyam graphs with application
A potent tool in the theory of graphs, the Neutrosophic graph, is used to describe the variety of real-world cases with uncertainty brought on by ambiguous, inconsistent, and unpredictable data. In order to handle unpredictability in data sets larger than the current true, false, and not exactly known zones, the Turiyam graph was recently introduced. In both theoretical and applied graph theory environments, the ideas of domination and paired domination are crucial. For this reason, the current study introduces the ideas of domination and paired domination in Turiyam graphs together with the characteristics of each concept. Furthermore, domination in complete bipartite graphs, strong paired domination, and the application of paired domination are all worked out.