Revistas académicas de la Universidad Católica del Norte
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Hypo-k-Totally Magic Cordial Labeling of Graphs
No full textA graph G is said to be hypo-k-totally magic cordial if G — {v} is k-totally magic cordial for each vertex v in V(G). In this paper, we establish that cycle, complete graph, complete bipartite graph and wheel graph admit hypo-k-totally magic cordial labeling and some families of graphs do not admit hypo-k-totally magic cordial labeling
Skolem Difference Mean Graphs
No full textA graph G = (V, E) with p vertices and q edges is said to haveskolem difference mean labeling if it is possible to label the verticesx ∈ V with distinct elements f(x) from 1, 2, 3, · · · , p+q in such a waythat for each edge e = uv, let f *(e) = l|f(u)- 2 f(v)|m and the resultinglabels of the edges are distinct and are from 1, 2, 3, · · · , q. A graphthat admits a skolem difference mean labeling is called a skolem difference mean graph. In this paper, we prove Cn@Pm(n ≥ 3, m ≥ 1),T hK1,n1 : K1,n2 : · · · : K1,nmi, T hK1,n1 ◦ K1,n2 ◦ ◦ ◦ K1,nmi,St(n1, n2, · · · , nm) and Bt(n, n, · · · , n| {z }m times) are skolem difference mean graphs
Spectrum and fine spectrum of the upper triangular matrix U(r, s) over the sequence spaces
No full textFine spectra of various matrix operators on different sequence spaces have been investigated by several authors. Recently, some authors have determined the approximate point spectrum, the defect spectrum and the compression spectrum of various matrix operators on different sequence spaces. Here in this article we have determined the spectrum and fine spectrum of the upper triangular matrix U(r,s) on the sequence space cs. In a further development, we have also determined the approximate point spectrum, the defect spectrum and the compression spectrum of the operator U(r,s) on the sequence space cs
On the stability and boundedness of certain third order non-autonomous differential equations of retarded type
No full textIn this paper, based on the Lyapunov-Krasovskii functional approach, we obtain sufficient conditions which guarantee stability, uniformly stability, boundedness and uniformly boundedness of solutions of certain third order non- autonomous differential equations of retarded type. Our results complement and improve some recent ones
Connections between Basarab and Buchsteiner Loops
No full textBasarab loops and Buchsteiner loops are both G-loops with deep algebraic andstructural properties. Extra loops belong to these two classes. This paper examinesthe main connections between these two classes of loops and examines the relationshipbetween Basarab loops and some other important classes of loops like: Osborn loop,conjugacy closed loop (CC-loop), Wilson loop, Moufang loop and extra loop. It wasestablished that Basarab loop is a class of loops which answers a cogent questionraised by Goodaire and Robinson in 1990: ‘Are there other equationally defined (andnaturally characterized) classes of G-loops (like the classes Wilson loops and extraloops) which are contained in the class of all conjugacy closed loops?’. It was shownthat the center and centrum of a Basarab loop coincide. A Basarab loop was foundto be both left A-loop and a right A-loop, and shown to be an inverse property loopif and only if its left and right inner mappings are commutators of left and righttranslations. The left and right inner mappings of a Basarab loop were proved to benuclear automorphisms. The following properties were discovered to be equivalent toeach other in a Basarab loop: flexibility, diassociativity, right inverse property, leftinverse property, inverse property, right alternative property, left alternative property,alternative property, anti-automorphic inverse property, any Moufang law and anyextra law
On sums of binomial coefficients
No full textWe investigate the integral representation of infinite sums involving the ratio of binomial coefficients. We also recover some wellknown properties of ζ (3) and extend the range of results given by other authors.
A note on the fiber dimension theorem
No full textThe aim of this work is to prove a version of the Fiber Dimension Theorem, emphasizing the case of non-closed points.Resumo El objetivo de este trabajo es probar una versión del Teorema de la Dimensión de la Fibra, enfatizando el caso de puntos no cerrados
An abstract gliding hump property
No full textA new definition of almost fuzzy compactness is introduced in Ltopological spaces by means of open L-sets and their inequality when L is a complete DeMorgan algebra. It can also be characterized by closed L-sets, regularly closed L-sets, regularly open L-sets and their inequalities. When L is a completely distributive DeMorgan algebra, its many characterizations are presented
The generalized Van Vleck's equation on locally compact groups
No full textWe determine the continuous solutions ʄ, g :G → C of each of the two functional equations
∫G{ʄ,(xyt) – ʄ(σ(y)xt)}dμ(t) = ʄ(x)g(y), x, y ∈ G,
∫G{ʄ,(xyt) – ʄ(σ(y)xt)}dμ(t) = g(x)ʄ(y), x, y ∈ G,
where G is a locally compact group, σ is a continuous involutive automorphism on G, and μ is a compactly supported, complex-valued Borel measure on G
Some New Operators Using Fuzzy Nano -Open Sets
No full textIn this paper, we introduce some new operators called fuzzy nano M frontier, fuzzy nano M border and fuzzy nano M exterior with the help of fuzzy nano M-open sets in fuzzy nano topological space. Also, we discuss the important properties of them and the relations between them