Global Strong Domination in α- Cut Diminish Fuzzy Graph〖 G〗^α(σ^α,μ^α) by α- Cut Strong Arc
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Year : 2022,
Volume & Issue : BPAS-Maths & Stat 41E(1), JAN-JUN 2022
Page No. : 81-87,
Article Type : Original Aticle
Article DOI : 10.5958/2320-3226.2022.00012.1 (Received on 10.12.2021 / Revised on 15.05.2022/ Accepted on 30.05.2022 Online First Published on June 15, 2022 at https://www.bpasjournals.com)
Description
Description
V. Senthilkumar*
Author’s Affiliation : Assistant Professor, Department of Mathematics, CPA College, Bodinayakanur, Tamil Nadu 625582, India.
Corresponding Author : V. Senthilkumar, Assistant Professor, Department of Mathematics, CPA College, Bodinayakanur, Tamil Nadu 625582, India,
E-Mail:-1984senthilvkumar@gmail.com
Abstract
In this paper, an innovative concept of α- Cut diminish fuzzy graph 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.
AMS classification: 05C72
How to cite this article: Senthilkumar V. (2022). Global Strong Domination in - Cut Diminish Fuzzy Graph by α - Cut Strong Arc. Bull. Pure Appl. Sci. Sect. E Math. Stat. 41E(1), 81-87.
Keywords
α- Cut diminsh fuzzy graph,α -Cut strong arc, α- Cut non strong arc, complement ofα- Cut,α-Cut Strong arc domination, α- Cut strong global domination.
