Scielo RSS <![CDATA[Proyecciones (Antofagasta)]]> https://scielo.conicyt.cl/rss.php?pid=0716-091720180004&lang=es vol. 37 num. 4 lang. es <![CDATA[SciELO Logo]]> https://scielo.conicyt.cl/img/en/fbpelogp.gif https://scielo.conicyt.cl <![CDATA[Star edge coloring of corona product of path and wheel graph families]]> https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000400593&lng=es&nrm=iso&tlng=es Abstract A star edge coloring of a graph G is a proper edge coloring without bichromatic paths and cycles of length four. In this paper, we obtain the star edge chromatic number of the corona product of path with cycle, path with wheel, path with helm and path with gear graphs, denoted by Pm ◦ Cn, Pm ◦ Wn, Pm ◦ Hn, Pm ◦ Gn respectively. <![CDATA[On some difference sequence spaces of interval numbers]]> https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000400603&lng=es&nrm=iso&tlng=es Abstract In this paper we introduce the sequence spaces c0i(∆) ,ci(∆) and li ∞(∆) of interval numbers and study some of their algebraic and topological properties. Also we investigate some inclusion relations related to these spaces. <![CDATA[Odd Vertex equitable even labeling of cyclic snake related graphs]]> https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000400613&lng=es&nrm=iso&tlng=es Abstract Let G be a graph with p vertices and q edges and A = {1, 3, ..., q} if q is odd or A = {1, 3, ..., q + 1} if q is even. A graph G is said to admit an odd vertex equitable even labeling if there exists a vertex labeling f : V (G) → A that induces an edge labeling f∗ defined by f∗(uv) = f(u) + f(v) for all edges uv such that for all a and b in A, |vf (a) − vf (b)| ≤ 1 and the induced edge labels are 2, 4, ..., 2q where vf (a) be the number of vertices v with f(v) = a for a ∈ A. A graph that admits an odd vertex equitable even labeling is called an odd vertex equitable even graph. Here, we prove that the graph nC4-snake, CS(n1, n2, ..., nk), ni ≡ 0(mod4),ni ≥ 4, be a generalized kCn -snake, TÔQSn and TÕQSn are odd vertex equitable even graphs. <![CDATA[Fekete-Szego problem for certain analytic functions defined by q−derivative operator with respect to symmetric and conjugate points]]> https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000400627&lng=es&nrm=iso&tlng=es Abstract Recently, the q−derivative operator has been used to investigate several subclasses of analytic functions in different ways with different perspectives by many researchers and their interesting results are too voluminous to discuss. For example, the extension of the theory of univalent functions can be used to describe the theory of q−calculus, q−calculus operator are also used to construct several subclasses of analytic functions and so on. In this work, we considered the FeketeSzego problem for certain analytic functions defined by q−derivative operator with respect to symmetric and conjugate points. The early few coefficient bounds were obtained to derive our results. <![CDATA[Fuzzy soft attribute correlation coefficient and application to data of human trafficking]]> https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000400637&lng=es&nrm=iso&tlng=es Abstract In this paper, we introduce fuzzy soft attribute correlation coefficient and apply it to find the correlation between vulnerability government response of various countries related to human trafficking based on six regions with the help of data from “The Global Slavery Index 2016”. Comparison of fuzzy soft attribute correlation coefficients is done with the conventional analysis of sociology by calculating Pearson’s zero-order product-moment correlations. Along with these, some fundamental concepts of mathematical statistics are developed with respect to fuzzy soft set. <![CDATA[A new type of difference operator Δ <sup>3</sup> on triple sequence spaces]]> https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000400683&lng=es&nrm=iso&tlng=es Abstract In this paper we have introduced and investigated the difference triple sequence spaces c³0(Δ³), c³(Δ³), c³R(Δ³), 𝓁³∞(Δ³) and c³B(Δ³) applying the difference operator Δ³, on the triple sequence (xlmn) and studied some of their algebraic and topological properties. We have also proved some inclusion relation involving these sequence spaces. <![CDATA[Multiset ideal topological spaces and local functions]]> https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000400699&lng=es&nrm=iso&tlng=es Abstract In this article we have introduced the notion of multiset local function on an ideal topological space using the the concept of q-neighbourhood in a multiset topological space. Some basic properties of local functions on multisets have been investigated in multiset ideal topological space. <![CDATA[On rough convergence of triple sequence spaces of Bernstein-Stancu operators of fuzzy numbers defined by a metric function]]> https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000400713&lng=es&nrm=iso&tlng=es Abstract We define the concept of rough limit set of a triple sequence space of Bernstein-Stancu polynomials of fuzzy numbers and obtain the relation between the set of rough limit and the extreme limit points of a triple sequence space of Bernstein-Stancu polynomials of fuzzy numbers. Finally, we investigate some properties of the rough limit set of Bernstein-Stancu polynomials. <![CDATA[Dual third-order Jacobsthal quaternions]]> https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000400731&lng=es&nrm=iso&tlng=es Abstract In 2016, Yüce and Torunbalcı Aydın (18) defined dual Fibonacci quaternions. In this paper, we defined the dual third-order Jacobsthal quaternions and dual third-order Jacobsthal-Lucas quaternions. Also, we investigated the relations between the dual third-order Jacobsthal quaternions and third-order Jacobsthal numbers. Furthermore, we gave some their quadratic properties, the summations, the Binet’s formulas and Cassini-like identities for these quaternions. <![CDATA[New interpretation of elliptic Boundary value problems via invariant embedding approach and Yosida regularization]]> https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000400749&lng=es&nrm=iso&tlng=es Abstract The method of invariant embedding for the solutions of boundary value problems yields an equivalent formulation to the initial boundary value problems by a system of Riccati operator differential equations. A combined technique based on invariant embedding approach and Yosida regularization is proposed in this paper for solving abstract Riccati problems and Dirichlet problems for the Poisson equation over a circular domain. We exhibit, in polar coordinates, the associated Neumann to Dirichlet operator, somme concrete properties of this operator are given. It also comes that from the existence of a solution for the corresponding Riccati equation, the problem can be solved in appropriate Sobolev spaces. <![CDATA[Quiver representations and their applications]]> https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000400765&lng=es&nrm=iso&tlng=es Abstract In this article, we survey some results on geometric methods to study quiver representations, and applications of these results to sheaves, equivariant sheaves and parabolic bundles. <![CDATA[Generalized centroid of Γ-semirings]]> https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000400805&lng=es&nrm=iso&tlng=es Abstract We define and study the generalized centroid of a semiprime Γ-semiring. We show that the generalized centroid CΓ is a multiplicatively reguler Γ-semiring and so Γ-semifield and give some properties of the generalized centroid of a semiprime Γ-semiring.