Revistas académicas de la Universidad Católica del Norte
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A note on P-Sasakian manifolds satisfying certain conditions
No full textIn 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
Equitable Irregular Edge-Weighting of Polar Grid Graph and Mongolian Tent Graph
No full textAn k-edge-weighting of a graph G=(V,E) is a map φ: E(G) → {1, 2, 3, ..., k} where k ≥ 1 is an integer. Denote Sφ(v) is the sum of edge-weights appearing on the edges incident at the vertex v under φ. An k-edge-weighting of G is equitable irregular if |Sφ (u)−Sφ (v)| ≤ 1, for every pair of adjacent vertices u and v in G. Theequitable irregular strength of an equitable irregular graph G is the smallest positive integer k such that there is a k-edge weighting of G and is denoted by Se (G). In this paper, we discuss the equitable irregularity of Polar grid and Mongolian tent graph
Neutrosophic equivalence relation applied onincline algebra
No full textResearchers have great interest in working in the fields of fuzzy algebra and its substructure. Nowadays, the work on fuzzy algebra has attained the greatest height. Considering the incline algebra in this study, the concept of the neutrosophic equivalence relation in incline algebra and its related properties are introduced. Furthermore, the characteristic function and chain conditions are also analyzed, with some results
On graded 2-absorbing primal ideals
No full textLet R be G-graded ring. In this paper, we introduce and devoted to the concept of graded 2-absorbing primal ideal of R which is a generalization of graded primal ideal. These ideals and their homogeneous components are given some features and characterizations
On the existence of solutions for a class of nonlinear fully fourth-order differential systems
No full textThis paper discusses the existence of solutions to fourth order nonlinear boundary value problem involving systems of differential equations and two point boundary conditions. The nonlinearity f ∈ C ([0,1] × Rn+ × Rn × Rn × Rn, Rn)considered in this paper includes derivatives up to order three. Using recent fixed point results for the sum of two operators, we impose a growth condition on f to establish a new existence criteria that ensure the existence of at least one and the existence of at least two nonnegative solutions
Outdegree equitable domination number of certain graph operators
No full textFor a vertex u in the dominating set D of a graph G, the number of edges from u to V-D is called the outdegree of u with respect to D, d°D, G(u). A dominating set D is called the outdegree equitable dominating set if the absolute value of the differences of outdegrees of any two vertices in D is at most one. The minimum cardinality of an outdegree equitable dominating set of G is called the outdegree equitable domination number of G, γoe(G). In this paper, we study the outdegree equitable domination number of certain graph operators such as complement, double graph, mycielskian and subdivision of graph
Uniform stability, boundedness and square integrability for non-autonomous third-order neutral differential equations with delay
No full textThe 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
No full textWe 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
On βκ-normal spaces
No full textA topological space X is called βκ-normal if for every pair of disjoint regularly closed sets A and B, there exist disjoint open sets U and V of X such that = A, = B and ∩ = ∅. In this paper, we investigated a weaker form of normality called βκ-normality which is simultaneous generalization of normality, κ-normality and almost β-normality. Some new decomposition of normality is obtained in terms weakly β-normal spaces
On Randić energy of graphs
No full textLet di be the degree of vertex vi of G then Randić matrix R(G) = [rij ] is defined as rij = 1/ √didj, if the vertices vi and vj are adjacent in G or rij = 0, otherwise. The Randić energy is the sum of absolute values of the eigenvalues of R(G). In this paper we have investigated Randić energy of m-Splitting and m-Shadow graphs. We also have constructed a sequence of graphs having same Randić energy