Proyecciones (Antofagasta, On line)

Pairwise Infra Neutrosophic Pre-Open Set in Infra Neutrosophic Bi-topological Space

2022-06-12T12:38:11+00:00

In this article, we present the notion of infra neutrosophic bi-topological spaces (in short INBTS) as a generalization of infra neutrosophic topological space (in short INTS) and neutrosophic bi-topological space (in short NBTS). Besides, we study the different types of open and closed sets namely infra neutrosophic bi-open set (in short INBOS), infra neutrosophic bi-semi-open set (in short INBSOS), infra neutrosophic bi-pre-open set (in short INBPOS), infra neutrosophic bi-b-open set (in short INBb-OS), etc. via INBTSs. Then, we introduce the notion of pairwise infra neutrosophic bi-open set (in short PINBOS), pairwise infra neutrosophic bi-semi-open set (in short PINBSOS), pairwise infra neutrosophic bi-pre-open set (in short PINBPOS), pairwise infra neutrosophic bi-b-open set (in short PINBb-OS), and furnish few illustrative examples on them. Further, we investigate several properties of these classes of sets and establish several interesting results via INBTSs in the form of propositions, theorems, etc.

Fixed point and stability of nonlinear differential equations with variable delays

2024-02-13T14:13:43+00:00

In 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.

Uniform stability, boundedness and square integrability for non-autonomous third-order neutral differential equations with delay

2024-02-11T05:03:40+00:00

The work in this article provides literature with some results concerning the exponential stability, the boundedness and the square integrability of solutions for some non autonomous equations of third order supplied with delay and neutral parameters. The main tool used in this work is the second method of Lyapunov. The article is finished by giving a concrete example that ensure the application of the obtained results.

Singularity of cycle-spliced signed graphs

2024-04-11T11:54:43+00:00

We consider the adjacency spectrum of cycle-spliced signed graphs (CSSG), i.e., signed graphs whose blocks are (independent) signed cycles. For a signed graph Σ, the nullity η(Σ) is the multiplicity of the 0-eigenvalue. The adjancency spectrum of cycle-spliced (signed) graphs is studied in the literature for the relation between the nullity η and the cyclomatic number c, in particular, it is known that 0≤η(Σ) ≤ c(Σ)+1. In this paper, nonsingular cycle-spliced bipartite signed graphs are characterized. For cycle-spliced signed graphs Σ having only odd cycles, we show that η(Σ) is 0 or 1. Finally, we compute the nullity of CSSGs consisting of at most three cycles.

Stability and boundedness of solutions of certain Lienard-type non-autonomous differential equations

2024-05-04T18:05:29+00:00

In this paper, the Liénard-type non-autonomous nonlinear differential equation

ẍ+ p(t)f(x, ẋ) ẋ + q(t)g(x) = ϕ(t, x, ẋ)

is investigated for uniform exponential asymptotic stability of solutions when ϕ(t, x, ẋ) ≡ 0, and uniform ultimate boundedness of solutions when ϕ(t, x, ẋ) ≠ 0, using the Lyapunov’s direct method

Coloring of Non-Zero Component Graphs

2023-07-03T16:19:58+00:00

The non-zero component graph of finite dimensional vector space V over a finite field F is the graph G(V_α)= (V,E), where vertices of G(V_α) are the non-zero vectors in V, two of which are adjacent if they share at least one basis vector with non-zero coefficient in their basic representation. In this paper, we study the various types of colorings of non-zero component graph.

A note on P-Sasakian manifolds satisfying certain conditions

2024-02-29T02:31:56+00:00

In the present paper, we have studied the curvature tensors of PSasakian manifold. For a P-Sasakian manifold, W₁ ·S = 0, W₁ ·Z = 0 and W₉ · W₁ = 0 cases are considered. According these cases, PSasakian manifolds have been characterized such as η-Einstein and Einstein. In addition, we research W₁-flat and W₉-flat for a PSasakian manifold. The results are interesting and give an idea about the geometry of P-Sasakian manifold.

A study on deg-centric graphs

2024-02-21T19:10:33+00:00

The deg-centric graph of a simple, connected graph G, denoted by G_d, is a graph constructed from G such that, V(G_d) = V(G) and E(G_d) = {v_iv_j: d_G(v_i,v_j) ≤ deg_G(v_i)}. In this paper, the concepts of deg-centric graphs and iterated deg-centrication of a graph are introduced and discussed.

Cayley fuzzy graphs on groups

2023-04-01T10:46:42+00:00

We investigate some properties of Cayley fuzzy graphs on groups in terms of algebraic structures. And we also discuss the connectedness on it. In this paper, we prove that the Cayley fuzzy graph induced by (Z_m × Z_n, +, ν) is the disjoint union of Cay (aH, R) provided ν(h) > 0 ∀ h ∈ H and ν(h′) =0 ∀ h′∈ Z_m × Z_n\H, where H is the cyclic subgroup of order n in Z_m × Z_n.

On the right automorphic generalised Bol loops

2023-01-25T06:55:45+00:00

This study centers on right automophic generalised Bol loops. Having established the generators of inner mapping group of generalised Bol loops, some properties of generalised Bol loops, in terms of right translation map, are obtained. These properties are later used to established a condition under which right automorphic generalised Bol loop is a generalised Moufang loop.

Induced Dominating Sequence and ESD Graphs

2024-01-08T17:05:04+00:00

A vertex subset D of a graph G = (V,E) is said to be a dominating set if every vertex in G is either in D or adjacent to some vertex in D. The minimum cardinality of such a set is the domination number, which is denoted as γ(G). In this paper, we define a sequence associated with the domination concept in graphs and studied the basic properties of the sequence in terms of various parameters of graphs. Using this sequence we order the vertices of a dominating set according its significance and propose Equally Significant Dominating (ESD) graphs. We also introduced domination related topological indices and compute their lower bounds for trees, unicyclic graphs and bicyclic graphs. All the graphs attaining the bounds are characterized.

A characterization of σ-prime rings involving generalized derivations

2024-04-01T13:32:19+00:00

This paper’s major goal is to work on commutativity of σ-prime rings with second kind involution σ, involving generalized derivation satisfy the certain differential identities. Finally, we provide some examples to demonstrate that the conditions assumed in our results are not unnecessary