Revistas académicas de la Universidad Católica del Norte
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Analytic odd mean labeling of union and identification of some graphs
No full textA graph G is analytic odd mean if there exist an injective function f : V → {0, 1, 3, . . . , 2q − 1} with an induced edge labeling f∗ : E → Z such that for each edge uv with f(u) < f(v),
is injective. Clearly the values of f∗ are odd. We say that f is an analytic odd mean labeling of G. In this paper, we show that the union and identification of some graphs admit analytic odd mean labeling by using the operation of joining of two graphs by an edge
Grundy number of corona product of some graphs
No full textThe Grundy number of a graph G is the maximum number k of colors used to color the vertices of G such that the coloring is proper and every vertex u colored with color i, 1 ≤ i ≤ k, is adjacent to i – 1 vertices colored with each color j, 1 ≤ j ≤ i − 1. In this paper we obtain the Grundy number of corona product of some graphs, denoted by G ◦ H. First, we consider the graph G be 2-regular graph and H be a cycle, complete bipartite, ladder graph and fan graph. Also we consider the graph G and H be a complete bipartite graphs, fan graphs
Generation of anti-magic graphs from binary graph products
No full textAn anti-magic labeling of a graph G is a one-to-one correspondence between E(G) and {1, 2, ··· , |E|} such that the vertex-sum for distinct vertices are different. Vertex-sum of a vertex u ∈ V (G) is the sum of labels assigned to edges incident to the vertex u. It was conjectured by Hartsfield and Ringel that every tree other than K2 has an anti-magic labeling. In this paper, we consider various binary graph products such as corona, edge corona and rooted products to generate anti-magic graphs. We prove that corona products of an anti-magic regular graph G with K1 and K2 are anti-magic. Further, we prove that rooted product of two anti-magic trees are anti-magic. Also, we prove that rooted product of an anti-magic graph with an anti-magic tree admits anti-magic labeling
On fuzzy congruence relation in residuated lattices
No full textIn this paper, we characterize some properties of fuzzy congruence relations and obtain a fuzzy congruence relation generated by a fuzzy relation in residuated lattices. For this purpose, two various types of fuzzy relations (regular and irregular) are introduced. In order to obtain a fuzzy congruence relation generated by an irregular fuzzy relation it must convert to a regular fuzzy relation
Mixed Fuzzy topological space its Hausdorff properties and base
No full textIn this article, mixed fuzzy topology and its topological properties have been studied. Mixed fuzzy topology is defined with the help of quasi-coincidence and closure of a fuzzy set in one of the fuzzy topologies. Thus, a new fuzzy topology is generated from the given two fuzzy topologies. This new fuzzy topology may or may not contain the topological properties of the parent topologies. This study identifies some topological properties that are carried to the mixed fuzzy topology from the given parent fuzzy topologies and some other properties which are not carried to the mixed fuzzy topology. Here a base for mixed fuzzy topology from the bases of the given parent topologies is constructed.
Considering the regularity of one of the parent topologies mixed fuzzy topology is investigated. Hausdorff’s properties of mixed fuzzy topological spaces are also discussed. It is now of general interest to know which properties are carried to the mixed topology and which are not. A few of these are being tried to answer here in this paper
Effects of some embedded thermophysical properties on heat and mass transfer using erying powell model non-Newtonian nanofluid, between two poropus parallel plates
No full textThe effects of couple stress on the heat and mass transfer of pulsatile using Erying powel model non-Newtonian nanofluid flows between two porous parallel plates in the presence of Lorentz force are elucidated. The governing partial differential equations (PDEs) were non-dimensionalized using suitable non-dimensional quantities to transform the PDEs into a system of coupled non-linear partial differential equations (PDEs). The resulting equations are solved using the spectral relaxation method (SRM). The obtained results were plotted for concentration, temperature, and velocity and analyzed using some pertinent embedded parameters and physical quantities of scientific and engineering interest. In order to shed more light, these results were further demonstrated graphically. and in tabular forms
Maximal matching cover pebbling number for variants of hypercube
No full textAn edge pebbling move is defined as the removal of two pebbles from one edge and placing one on the adjacent edge. The maximal matching cover pebbling number, fmmcp(G), of a graph G, is the minimum number of pebbles that must be placed on E(G), such that after a sequence of pebbling moves the set of edges with pebbles forms a maximal matching regardless of the initial configuration. In this paper, we find the maximal matching cover pebbling number for variants of hypercube
Hyers-Ulam-Rassias stability of some perturbed nonlinear second order ordinary differential equations
No full textIn this paper we investigate the Hyers-Ulam-Rassias stability of a perturbed nonlinear second order ordinary differential equation using Gronwall-Bellman-Bihari type integral inequalities. Further, the paper also investigates the Hyers-Ulam-Rassias stability of four different cases of a perturbed nonlinear second order differential equation
On extended biharmonic hypersurfaces with three curvatures
No full textThe subject of harmonic and biharmonic submanifolds, with important role in mathematical physics and differential geometry, arises from the variation problems of ordinary mean curvature vector field. Generally, harmonic submanifolds are biharmonic, but not vice versa. Of course, many examples of biharmonic hypersurfaces are harmonic. A well-known conjecture of Bang-Yen Chen on Euclidean spaces says that every biharmonic submanifold is harmonic. Although the conjecture has not been proven (in general case), it has been affirmed in many cases, and this has led to its spread to various types of submanifolds. Inspired by the conjecture, we study the Lorentz submanifolds of the Lorentz-Minkowski spaces. We consider an advanced versión of the conjecture (namely, L1-conjecture) on Lorentz hypersurfaces of the pseudo-Euclidean 5-space L5 := E15 (i.e. the Minkowski 5-space). We confirm the extended conjecture on Lorentz hypersurfaces with three principal curvatures
Fractional ordered Euler Riesz difference sequence spaces
No full textIn this article we introduce new sequence spaces c0 (τ), c(τ) and l∞(τ) of fractional order τ , consisting of an operator which is a composition of Euler-Riesz operator and fractional difference operator. Certain topological properties of these spaces are investigated along with Schauder basis and α−, β− and γ−duals