Global strong domination in α- cut diminish fuzzy graph Gα(σα, μα) by α- cut strong arc Senthilkumar V.* Assistant Professor, Department of Mathematics, CPA College, Bodinayakanur, Tamil Nadu625582, India *Corresponding Author: V. Senthilkumar, Assistant Professor, Department of Mathematics, CPA College, Bodinayakanur, Tamil Nadu625582, India E-mail: 1984senthilvkumar@gmail.com
Online published on 6 July, 2022. Abstract In this paper, an innovative concept of α- Cut diminish fuzzy graph Gα(σα, μα) and α- Cut strong arc of α- Cut diminish Fuzzy graph are introduced in the new domain. Further complement of α- Cut diminish fuzzy graph are discussed with new approach. Definition of α- Cut strong domination and Global Strong domination in α- Cut diminish fuzzy graph are also introduced by α- Cut strong arc. Moreover, some standard theorems and related results in Global domination of α- Cut diminish fuzzy graph are presented with suitable example of Standard α- Cut diminish fuzzy graph. Top Keywords α- Cut diminsh fuzzy graph, α-Cut strong arc, α- Cut non strong arc, Complement of α-Cut, α-Cut Strong arc domination, α-Cut strong global domination. Top |