Revistas académicas de la Universidad Católica del Norte
Not a member yet
1687 research outputs found
Sort by
Extended study of biological networks using graph theory
No full textWe represent biological networks by a function that maps the structure of a network to a number called topological index. Topological indices have been studied for biological networks in which a person transmits a virus to two other people, and a person having the virus is in contact with exactly one other person who got the virus from someone else. We extend research in this area by studying biological networks in which a person transmits a virus to n other people, where n ≥ 2, and a person having the virus is in contact with p other people (0 ≤ p ≤ n-2) who got the virus from some other person
Formación de líderes sociales para el desarrollo local: una aproximación desde la innovación social
Get PDFThis paper is aimed to share an interdisciplinary social intervention proposal based on a social innovation approach. This social intervention took place in the city of Santiago (Chile), in the context of the implementation of a school for social leaders. This paper entails a theoretical-methodological approach, linking social innovation and local development. Moreover, this work describes both the educative process of social leaders and the results of the social intervention. Finally, this paper suggests that educating social leaders, based on the aforementioned approach, could be directly linked to the local development process.Se presenta una propuesta de intervención social interdisciplinaria desde el enfoque de la innovación social, a través de la experiencia formativa desarrollada en una Escuela de Dirigentes Sociales, en la comuna de Santiago de Chile. Para ello, se plantea una aproximación teórico-metodológica que vincula innovación social con desarrollo local, así como la caracterización del proceso formativo de los dirigentes y sus principales resultados. El artículo concluye señalando que desarrollar competencias en innovación social en líderes sociales, bajo el enfoque y metodología planteada, se puede vincular de manera directa con procesos de desarrollo local
On the hereditary character of certain spectral properties and some applications
No full textIn this paper we study the behavior of certain spectral properties of an operator T on a proper closed and T-invariant subspace W ⊆ X such that Tn (X) ⊆ W, for some n ≥ 1, where T ∈ L(X) and X is an infinite-dimensional complex Banach space. We prove that for these subspaces a large number of spectral properties are transmitted from T to its restriction on W and vice-versa. As consequence of our results, we give conditions for which semiFredholm spectral properties, as well as Weyl type theorems, are equivalent for two given operators. Additionally, we give conditions under which an operator acting on a subspace can be extended on the entire space preserving the Weyl type theorems. In particular, we give some applications of these results for integral operators acting on certain functions spaces.
En este artículo estudiamos el comportamiento de ciertas propiedades espectrales de un operador sobre un subespacio propio cerrado cerrado y -invariante tal que , con , donde y es un espacio de Banach complejo infinito-dimensional. Probamos que para estos subespacios un gran número de propiedades espectrales son transmitidas de a su restricción sobre y viceversa. Como consecuencia de nuestros resultados, damos damos condiciones para las cuales propiedades de se semi-Fredholm, así como Teoremas tipo Weyl, son equivalentes para dos operados dados. Adicionalmente, damos condiciones bajo las cuales un operador que actúa sobre un subespacio puede ser extendido a todo el espacio preservando los Teoremas tipo Weyl. En particular, damos algunas aplicaciones de estos resultados para operadores integrales que actúan sobre ciertos espacios de funciones
On the three families of extended Laguerre-based Apostol-type polynomials
No full textIn this paper, we introduce a new class of generalized extended Laguerre-based Apostol-type-Bernoulli, Apostol-type-Euler and Apostoltype-Genocchi polynomials. These Apostol type polynomials are used to connect Fubini-Hermite and Bell-Hermite polynomials and to find new representations. We derive some implicit summation formulae and symmetric identities for these families of special functions by applying the generating functions
On the maximal invariant set for the map X² - 2 restricted to intervals
No full textIn this paper, we study the maximal invariant set of a quadratic family related to a class of unimodal maps. This family is very important and have direct application in many branches of science. In particular, we characterize when the maximal invariant of f(x) = x2 − 2 (restricted to an interval) has a chaotic behavior
On ideal sumset labelled graphs
No full textThe sumset of two sets A and B of integers, denoted by A + B, is defined as A+B = {a+b : a ∈ A, b ∈ B}. Let X be a non-empty set of non-negative integers. A sumset labelling of a graph G is an injective function f : V (G) → P(X) − {∅} such that the induced function f+ : E(G) → P(X)−{∅} is defined by f+(uv) = f(u) +f(v) ∀uv ∈ E(G). In this paper, we introduce the notion of ideal sumset labelling of graph and discuss the admissibility of this labelling by certain graph classes and discuss some structural characterization of those graphs
SD-prime cordial labeling of alternate k-polygonal snake of various types
No full textLet f : V (G) → {1, 2,..., |V (G)|} be a bijection, and let us denote S = f(u) + f(v) and D = |f(u) − f(v)| for every edge uv in E(G). Let f' be the induced edge labeling, induced by the vertex labeling f, defined as f' : E(G) → {0, 1} such that for any edge uv in E(G), f' (uv)=1 if gcd(S, D)=1, and f' (uv)=0 otherwise. Let ef' (0) and ef' (1) be the number of edges labeled with 0 and 1 respectively. f is SD-prime cordial labeling if |ef' (0) − ef' (1)| ≤ 1 and G is SD-prime cordial graph if it admits SD-prime cordial labeling. In this paper, we have discussed the SD-prime cordial labeling of alternate k-polygonal snake graphs of type-1, type-2 and type-3
Implicative filters in quasi-ordered residuated system
No full textThe concept of residuated relational systems ordered under a quasiorder relation was introduced in 2018 by S. Bonzio and I. Chajda as a structure ? = 〈A, ·,→, 1, R〉, where (A, ·) is a commutative monoid with the identity 1 as the top element in this ordered monoid under a quasi-order R. The author introduced and analyzed the concepts of filters in this type of algebraic structures. In this article, as a continuation of previous author’s research, the author introduced and analyzed the concept of implicative filters in quasi-ordered residuated systems
Regularity and normality in ideal bitopological spaces
No full textWe introduce, and study, the regularity and normality in ideal bitopological spaces, absent subject in literature. Our definitions have the advantage of using only the open sets of the two underlying topologies. These new concepts represent generalizations of Kelly's concepts of pairwise regularity and pairwise normality. The extension of the T0, T1 and T2 axioms to these spaces is due to Caldas et al
Relating centralities in graphs and the principal eigenvector of its distance matrix
No full textIn this work a new centrality measure of graphs is presented, based on the principal eigenvector of the distance matrix: spectral closeness. Using spectral graph theory, we show some of its properties and we compare the results of this new centrality with closeness centrality. In particular, we prove that for threshold graphs these two centralities always coincide. In addition we construct an infinity family of graphs for which these centralities never coincide