JAEM 2025, Vol 15, No 11
Güncel Gönderiler
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More on continuous and irresolute maps in Pythagorean fuzzy topological spaces
(Işık University Press, 2025-11-01)The new dimension of non-standard fuzzy sets called Pythagorean fuzzy sets which can handle the inaccurate data very strongly has been established in recent days. Even though intuitionistic fuzzy sets were generously used ... -
Wiener and Harary indices of Mycielskian graphs
(Işık University Press, 2025-11-01)Let G = (V(G), E(G)) be a graph, where V = {v1, v2, . . . vn}. Let V′ = {v′1, v′2, . . . , v′n} be the twin of the vertex set V(G). The Mycielskian graph M(G) of G is defined as the graph whose vertex set is V(G) ∪ V′(G) ... -
On some families of linear diophantine graphs
(Işık University Press, 2025-11-01)Diophantine labeling of graphs is an extension of the prime labeling of graphs. In this manuscript, we introduce some necessary conditions for determining whether a given graph admits Diophantine labeling or not, and if ... -
PMC-labeling of prism allied graph, pendulum graph and cog wheel graph
(Işık University Press, 2025-11-01)In this paper, we investigate the PMC-labeling behavior of some graphs like pendulum graph, hexagonal circular ladder, cog wheel graph, triangular wheel graph, double crown-wheel graph, crown-triangular wheel graph, Hn,n, ... -
The k-binomial and Catalan transforms of the k-Leonardo numbers
(Işık University Press, 2025-11-01)In this paper, we investigate the binomial transform and the Catalan transform of the k-Leonardo numbers and examine the new integer sequences. We apply the k-binomial, rising k-binomial, and falling k-binomial transforms ... -
A labeling approach to vertex N-magic weighted total graphs with vertex-odd values
(Işık University Press, 2025-11-01)The current text discusses the concept of odd vertex N-magic total graphs, a novel idea in the realm of vertex N-magic-type graphs. This idea is defined by N- magic with distinct degrees and identifies odd vertex labels ... -
New approach to evaluate the failure probability of a k-out-of-n system under harmful shocks
(Işık University Press, 2025-11-01)This paper introduces a novel approach to calculating the failure probability of k-out-of-n systems under harmful shocks, which occur randomly and affect at least one component. Traditional methods for this calculation ... -
The first Zagreb index, the forgotten topological index, the inverse degree and some Hamiltonian properties of graphs
(Işık University Press, 2025-11-01)Let G = (V, E) be a graph. The first Zagreb index and the forgotten topological index of a graph G are defined respectively as Σu∈Vd² (u) and Σu∈Vd³(u), where d(u) is the degree of vertex u in G. If the minimum degree of ... -
Fractional Cattaneo equation with a harmonic source and associated thermal stresses in axisymmetric and central symmetric cases
(Işık University Press, 2025-11-01)Integer and fractional order Cattaneo equations with a source varying harmonically in time under zero initial conditions are studied in the axisymmetric case and the central symmetric case. The integral transform techniques ... -
Chaos and complexity in a four-dimensional system with hyperbolic tangent nonlinearity and no equilibrium
(Işık University Press, 2025-11-01)This paper introduces a new four-dimensional (4-D) dynamical system composed of only seven terms: four linear terms, one nonlinear term involving the hyperbolic tangent function, one absolute value function term, and a ...
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