APAV - Academy of Sciences, Letters, Arts and Technology (E-Journals)
Not a member yet
757 research outputs found
Sort by
Bounds On Fuzzy Dominator Chromatic Number of Fuzzy Soft Bipartite Graphs
Full text linkAn FSG GS(T,V) fuzzy’s soft dominator colouring (FSDC) is a suitable Fuzzy Soft Colouring (FSC) where every node of a colour groupis dominated by a vertex of GS(T,V). In the current work, we characterize the sharp bounds for the Fuzzy Dominator Chromatic Number(FDCN) of fuzzy soft bipartite graphs and we present limits on theFDCN of fuzzy soft bipartite graph in terms of the γe(GS(T; V )).Furthermore, we classify fuzzy soft bipartite graphs into three classesbased on FDC
On δ-open sets in ideal nano topological spaces
Full text linkWe introduce the notions of δ-open sets in ideal nano topological spaces and investigate some of their properties
Fixed point theorems in uniformly convex Banach spaces
Full text linkIn this article, we establish a concept of fixed point result in Uniformly convex Banach space. Our main finding uses the Ishikawa iteration technique in uniformly convex Banach space to demonstrate strong convergence. Additionally, we use our primary result to demonstrate some corollaries
Υ_G-Operator in grill N-topology
Full text linkIn 2017, Lellis Thivagar et al. introduced a closure operator - by using the local function in grill -topology. In this article, we introduce a new operator in the same topological space. We study the properties of this new operator which helps us to derive a few equivalent expressions and a characterizing condition, in terms of . Then a suitability condition for a grill in -topological space is formulated. Also, we discuss the characterizing condition for the discussed suitability condition. In addition, we introduce and study sets and utilize the -operator to define a generalized open set and their properties
Sociological Explorations of Food: Interconnections, Aesthetics, and Rituals in Culinary Practices
Full text linkThis article explores the sociological dimensions of food, emphasizing its social significance, aesthetic qualities, and ritualistic aspects. It investigates how food creates social bonds, influences power dynamics, and shapes hierarchies. It examines the sensory qualities and cultural contexts that generate culinary experiences, including the concept of “food as art”. Additionally, it highlights the symbolic and transformative nature of food rituals, exploring their impact on ethical and aesthetic sensibilities. Overall, this article offers a sociological perspective on the multifaceted nature of food, providing insights into its role in shaping social relationships, cultural identities, and human societies. Through the interconnections, aesthetics, and rituals of culinary practices, it delves into the complex dynamics, cultural meanings, and lived experiences associated with foodways
New approximate fixed point results for rational contraction mappings
Full text linkIn this paper, we investigate approximate fixed point results for ratio[1]nal contraction mappings in a metric space. This manuscript’s inten[1]tion is to demonstrate approximate fixed point results and the diam[1]eter of the approximate fixed point results on metric spaces. Particu[1]larly, we use some rational contraction mappings, which were mainly discussed in Dass and Gupta [1975] and Jaggi [1977]. A few ex[1]amples are included to illustrate our results. Also, we discuss some applications of approximate fixed point results in the field of mathe[1]matics rigorously
Square Sum And Square Difference Labelings Of Semitotal-block Graph For Some Class Of Graphs
Full text linkA graph G is said to be square sum and square difference labeling, if there exists a bijection f from V (G) to {1, 2, 3, ..., (p − 1)} which induces the injective function f ∗ from E(G) to N, defined by f ∗(uv) = f(u)2 + f(v)2 and f ∗(uv) = f(u)2 − f(v)2 respectively, for each uv ∈ E(G) and the resulting edges are distinctly labeled. G is said to be square sum and square difference graph, if it asdmits a square sum and square difference labeling respectively. The present work investigates, square sum and square difference labelingof semitotal-block graph for some class of graphs which are proved using number theory concept
Numerical solution for fuzzy fractional differential equations using fuzzy fractional fourth order Runge-Kutta method based on root mean square and contraharmonic mean
Full text linkThe objective of this research is to determine the approximate solu[1]tion to Fuzzy Fractional Differential Equations (FFDEs). For Fuzzy Fractional Initial Value Problems (FFIVPs), the methods called Fuzzy Fractional Fourth Order Runge-Kutta method based on Root Mean Square (FFRK4RM) and called Fuzzy Fractional Fourth Order Runge[1]Kutta method based on Contraharmonic Mean (FFRK4CoM) is de[1]veloped. In this paper, both linear and nonlinear FFDEs can be solved using triangular and trapezoidal fuzzy numbers. FFRRK4RM and FFRK4CoM can be compared. The tables gives the absolute error between the exact and approximate solutions. From the graphical results, the approximate solution approaches the exact result very closely as the step size gets smaller. The outcomes show that the suggested approach is easy to use, accurate, clear, and convenient for solving both linear and nonlinear FFIVP
Radio Mean Labeling of Digraphs
Full text linkLet\ D be a strong digraph and let \vec{d}(u,\ v) denote the distance between any two vertices in D. A radio mean labeling is a one-to-one mapping f from V(D) to\ N satisfying the condition \vec{d}(u,\ v) +\left\lceil\frac{f\left(u\right)+f(v)}{2}\right\rceil\geq1+\ diam(D) for every u,v\in V(D). The span of a labeling f is the maximum integer that f maps to a vertex ofD. The radio mean number of D, rmn\ (D) is the lowest span taken over all radio mean labelings of the graph D. In this paper, we analyze radio mean labeling for some newly defined digraphs