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https://ir.vidyasagar.ac.in/jspui/handle/123456789/7078| 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) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| JPS-v28-Art1.pdf | PP:1-9 | 219.04 kB | Adobe PDF | View/Open |
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