Revistas académicas de la Universidad Católica del Norte
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On Graphic Approach to Hausdorffness in Supra Ideal Space
No full textThe main intention of this paper is to explore some new notions
of hausdorffness in supra ideal space and to characterize some of its
properties. A comparitive study has also done among Is-Hausdorff,
Hausdorff modulo-Is and Ps-Hausdorff spaces. An attempt has been
made to generate supra topological space as well as supra hausdorff
space through some specific graphs such as cycle, path and Eulerian
graph. Moreover we generate supra ideal space through a simple digraph which forms supra topology together with an ideal, the collection of all cut vertices of the digraph
Some remarks on summability defined by invariant mean in intuitionistic fuzzy 2-normed spaces
No full textIn present paper, we aim to define a new summability method using σ-mean called σ-statistical summability in an intuitionistic fuzzy 2- normed space (briefly IF2NS). We also define σ-statistical cauchy sequence in an IF2NS and study some of their properties. We display example that shows our method of summability is more stronger in these spaces
Fixed point and stability of nonlinear differential equations with variable delays
No full textIn this paper, we study the stability of a generalized nonlinear differential equation with variable delays via fixed point theory. An asymptotic stability theorem with sufficient conditions is proved, which improves and generalizes some previous results. Two examples are given to illustrate our results
On derivations over trivial extensions
No full textIn this paper, we investigate the structure of derivations over trivial extensions. We provide a detailed analysis of the structure of derivations on trivial extensions, the centre of trivial extensions, and the conditions for a trivial extension to be prime. Additionally, we examine the structure of derivations on trivial extensions when the underlying ring, , is a prime ring, under the conditions of Herstein's Theorem, Posner's Theorem, and Bell's theorem
A study on deg-centric graphs
No full textThe deg-centric graph of a simple, connected graph G, denoted by Gd, is a graph constructed from G such that, V(Gd) = V(G) and E(Gd) = {vivj: dG(vi,vj) ≤ degG(vi)}. In this paper, the concepts of deg-centric graphs and iterated deg-centrication of a graph are introduced and discussed
Results on super edge magic deficiency of some well-known classes of finite graphs
No full textA graph Ω(Λ, Γ) is considered super edge magic if there exists a bijective function ϕ:Λ(Ω)∪Γ(Ω)→ {1, 2, 3, …,|Λ(Ω)|+|Γ(Ω)|} such that ϕ(τ1)+(τ1τ2)+ ϕ(τ2) is a constant for every edge τ1τ2 ∈ Γ(Ω), and ϕ(Λ(Ω))= {1, 2, 3, …,|Λ(Ω)|}. Furthermore, the super edge magic deficiency of a graph Ω, denoted as μs (Ω), is either the minimum non-negative integer η such that Ω∪ηK1 is a super edge magic graph or +∞ if such an integer η does not exist. In this paper, we investigate the super edge magic deficiency of certain families of graphs
Even vertex odd mean labeling of uniform theta graphs
No full textLet be a graph with vertices and edges. A total graph labeling is called even vertex odd mean labeling of a graph if the vertices of the graph label by distinct even integers from the set and the labels of the edges are defined as the mean of the labels of its end vertices and these labels are distinct odd integers from the set . In this paper we investigate the even vertex odd mean labeling of uniform theta graphs
Existence of nonnegative solution for a boundary value problem via upper and lower method on the half-line
No full textIn this paper, we provide existence results to the following boundary value problem
where q ∈ L1 ((0, +∞), R) and the nonlinearity f: [0, +∞ [×R×R→ R is continuous.
Common Multiples of Paths and Stars with Crowns
No full text{\footnotesize A graph is a common multiple of two graphs and if there exists a decomposition of into edge-disjoint copies of and also a decomposition of into edge-disjoint copies of . If is a common multiple of and , and has edges, then we call a graph. Our paper deals with the following question: Given two graphs and , for which values of does there exist a graph? when is either a path or a star with or edges and is a crown.
Study on ΛδS−sets IIProperties related to separation axioms onδ−semi open sets
No full textThe main aim of this paper is to introduce the concept of (Λ,δS)−closed sets in topological spaces. The notions ΛδS(R), ΛδS−sets ΛδS*(R), ΛδS∗−set and (Λ, δS)−closed sets are defined and their properties are studied