Revistas académicas de la Universidad Católica del Norte
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Cayley fuzzy graphs on groups
No full textWe 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 (Zm × Zn, +, ν) is the disjoint union of Cay (aH, R) provided ν(h) > 0 ∀ h ∈ H and ν(h′) =0 ∀ h′∈ Zm × Zn\H, where H is the cyclic subgroup of order n in Zm × Zn
On the right automorphic generalised Bol loops
No full textThis 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
On the incomplete fourth Appell hypergeometric matrix functions Υ₄ and Γ₄
No full textIn this paper, we define the incomplete fourth Appell hypergeometric matrix functions Υ₄ and Γ₄ through application of the incomplete Pochhammer matrix symbols. We also give certain properties such as matrix differential equation, integral formula, recursion formula, differentiation formula of the incomplete fourth Appell hypergeometric matrix functions Υ₄ and Γ₄, where not all the matrices involved are commuting matrices
On local distance antimagic chromatic number of graphs disjoint union with 1-regular graphs
No full textLet be a graph on vertices and edges with no isolated vertices. A bijection is called local distance antimagic labeling, if for any two adjacent vertices and , we have , where . The local distance antimagic chromatic number is defined to be the minimum number of colors taken over all colorings of induced by local distance antimagic labelings of . In this paper, we obtained the necessary and sufficient condition for the local distance antimagic chromatic number of some disjoint union of graphs with 1-regular graphs equal to the number of distinct neighbors of its pendant vertices. We also gave a correct result in [Local Distance Antimagic Vertex Coloring of Graphs, https://arxiv.org/abs/2106.01833v1(2021)].%magic Vertex Coloring of Graphs, https://arxiv.org/abs/2106.01833v
Projective non-commuting graph of a group
No full textLet be a finite non-abelian group and let be a transversal of the center of in . The non-commuting graph of on a transversal of the center is the graph whose vertices are the non-central elements of and two vertices and are joined by an edge whenever . In this paper, we classify the groups whose non-commuting graph on a transversal of the center is projective
Stability and boundedness of solutions of certain Lienard-type non-autonomous differential equations
No full textIn 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 metho
On gr-n-submodules of graded modules over graded commutative rings
No full textLet G be a group with identity e. Let ℜ be a G-graded commutative ring, ℑ be a graded ℜ -module. In this paper, we introduce and study the concept of graded n-submodules of ℑ. We obtain many results concerning graded n-submodules. Some characterizations of graded n-submodules and their homogeneous components are given. A proper graded submodule U of ℑ is said to be a graded n-submodule if whenever r ∈ h(ℜ), m ∈ h(ℑ) with rm ∈ U and r ∉ Gr(Annℜ(ℑ)), then m ∈ U
Existence of mild solutions for non-instantaneous impulsive ξ-Caputo fractional integro-differential equations
No full textThe aim of this paper is to investigate the existence of mild solutions for a nonlocal ξ-Caputo fractional non-instantaneous impulses semilinear integro-differential equation in a Banach space. The proofs are based on some fixed point theorems for condensing maps. As an application, an example is given to illustrate our theoretical results
Comparative Analysis of M-polynomial Based Topological Indices Between Poly Hex-derived Networks and Its Subdivision
No full textTopological indices are a vital class of structural descriptors that are extensively adopted in the innovation of structure-property models, virtual synthesis, drug design, and the assessment of similarity and diversity. Hex-derived networks have numerous applications in the pharmaceutical industry, as well as in hardware and system administration. In this paper, we first lay out the graph of subdivided poly Hex-derived networks of third type of dimension n (SPHDN3[n]) and then estimate the values of the degree-based topological indices using their precise formulas, which are related to their structure size. Additionally, with the help of the M-polynomials of SPHDN3[n] networks, we also compute and analyse its topological indices. Furthermore, we carry out a comparative graphical analysis between each of the calculated degree-based topological indices of the poly Hex-derived network of third type (PHDN3[n]) and SPHDN3[n] networks for better understanding and prediction of their physicochemical properties
Higher order mKdV breathers: nonlinear stability
No full textWe are interested in stability results for breather solutions of the 5th, 7th and 9th order mKdV equations.We show that these higher order mKdV breathers are stable in , in the same way as \emph{classical} mKdV breathers. We also show that breather solutions of the 5th, 7th and 9th order mKdV equations satisfy the same stationary fourth order nonlinear elliptic equation as the mKdV breather, independently of the order, 5th, 7th or 9th, considered