The Novel Concept of Roman Domination in Fuzzy Graph

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Title:	The Novel Concept of Roman Domination in Fuzzy Graph
Authors:	Mojahedfar, Masome Talebi, A.A. Rashmanlou, Hossein
Keywords:	Fuzzy graph Dominating set Roman domination function
Issue Date:	30-Dec-2023
Publisher:	Registrar, Vidyasagar University on behalf of Vidyasagar University Publication Division, Midnapore, West Bengal, India, 721 101
Series/Report no.:	Vol. 28;
Abstract:	Suppose = , is a graph. A Roman dominating function (RDF) of is a function : → {0,1,2} such that every vertex for which = 0 has a neighbor with = 2. The weight of an RDF is = Σ ∈ . The Roman domination number (RDN) of a graph , denoted by ℘ , is the minimum weight of all possible RDFs. In this study, we define RDF on fuzzy graph (FG). Our purpose is to develop a notion of the RDF and also to present some basic definitions, notations, remarks, and proofs related to RDF on FGs.
Description:	PP:1-9
URI:	http://inet.vidyasagar.ac.in:8080/jspui/handle/123456789/7078
ISSN:	2350-0352
Appears in Collections:	Journal of Physical Sciences, Vol. 28 (2023)

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