https://ir.vidyasagar.ac.in/jspui/handle/123456789/7071 2026-04-28T18:30:24Z 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 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 2023-12-30T00:00:00Z https://ir.vidyasagar.ac.in/jspui/handle/123456789/7077 Title: On the Exponential Diophantine Equation 27^x – 11^y = z^2 Authors: Gope, Rathindra Chandra Abstract: In this article, we study and establish the theorem of the exponential Diophantine equation 27^x -11^y = z^2 , which has exactly two solutions where x, y and z are non-negative integers using Catalan’s conjecture, modular arithmetic, factorial method and elementary mathematical concepts. Description: PP:11-15 2023-12-30T00:00:00Z https://ir.vidyasagar.ac.in/jspui/handle/123456789/7076 Title: Almost Pseudo-Ricci Symmetric Mixed Generalized Quasi-Einstein Space-time Authors: Pandit, Mrityunjoy Kumar Abstract: In this paper, an almost pseudo-Ricci symmetric mixed generalized quasi-Einstein spacetime has been revealed where the nature of associated vector fields is observed. Description: PP:17-22 2023-12-30T00:00:00Z https://ir.vidyasagar.ac.in/jspui/handle/123456789/7075 Title: A Survey on Interval-valued Fuzzy Graphs Authors: Mofidnakhaei, Farshid Abstract: Interval-valued fuzzy graphs (IVFGs) belonging to the fuzzy graphs (FGs) family, have good capabilities when faced with problems that cannot be expressed by FGs. The notion of an IVFG is a new mathematical attitude to model the ambiguity and uncertainty in decision-making issues. IVFGs are well-articulated, useful and practical tools to manage the uncertainty preoccupied in all real-life difficulties where not sure facts, figures and explorations are explained. In this paper, the concepts of neighbourly irregular intervalvalued fuzzy graphs, neighbourly totally irregular interval-valued fuzzy graphs, and highly irregular interval-valued fuzzy graphs are introduced and several examples are presented. Description: PP:23-30 2023-12-30T00:00:00Z