Let G = (V, E) be a graph and let k ∈ Z. A total k-subdominating function is a function f : V → {−1, 1} such that for at least k vertices v of G, the sum of the function values of f in the open neighborhood of v is positive. The total k-subdomination number of G is the minimum value of f(V ) over all total k-subdominating functions f of G where f(V ) denotes the sum of the function values assig...

A subset S of a vertex set of a graphG is a total (k, r)-dominating set if every vertex u ∈ V (G) is within distance k of at least r vertices in S. The minimum cardinality among all total (k, r)-dominating sets ofG is called the total (k, r)domination number of G, denoted by γ (k,r)(G). We previously gave an upper bound on γ t (2,r)(G(n, p)) in random graphs with non-fixed p ∈ (0, 1). In this p...

For a fixed positive integer k, a k-tuple total dominating set of a graph G is a subset D ⊆ V (G) such that every vertex of G is adjacent to at least k vertices in D. The k-tuple total domination problem is to determine a minimum k-tuple total dominating set of G. This paper studies k-tuple total domination from an algorithmic point of view. In particular, we present a linear-time algorithm for...

Let k ≥ 1 be an integer, and let D = (V, A) be a finite and simple digraph in which dD(v) ≥ k for all v ∈ V . A function f : V −→ {−1, 1} is called a signed total k-dominating function (STkDF) if f(N−(v)) ≥ k for each vertex v ∈ V . The weight w(f) of f is defined by w(f) = ∑ v∈V f(v). The signed total k-domination number for a digraph D is γ kS(D) = min{w(f) | f is a STkDF of D}. In this paper...

The paper considers the problem of the extremely low frequency magnetic field radiation generated by the tablet computers. Accordingly, the measurement of the magnetic field radiation from a set of tablets is carried out. Furthermore, the measurement results are analyzed and clustered according to the K-Medians algorithm to obtain different magnetic field ranges. The obtained cluster ranges are...

In recent years there has been very extensive use of power electronic devices, which result in harmonic proliferation in the power distribution system. In this paper, as per IEEE C 57.110 standards, procedure to calculate total loss in the distribution transformer under non-linear distortion environment is proposed. The power factor capacitor performance under non-linear load conditions is also...

abstract for evaluating nacl salinity effect on some physiological and qualitative attributes of five winter canola cultivars, an experiment was conducted in a rcd base factorial in three replicates in greenhouse of east azarbaijan agricultural research center in 2008. five salinity levels as 0, 50, 100, 150 and 200 mm nacl treated as first factor on five rape seed (fornax, licord, elite, slm04...

Fernando de Mello Gomide∗∗ ∗∗Departamento de F́ısica Instituto Tecnológico de Aeronáutica (ITA) Centro Técnico Aeroespacial and 12200-970São José dos Campos SP Brazil Abstract After the introduction to the subject, we review the Machian relations involving the different kinds of energy densities in the Universe. By suposing that dark-matter is composed by Neutrino’s massive energy, we hint that ...

A stereocontrolled strategy toward the synthesis of nagelamide K has been developed. The dimeric imidazole acrylate, diimidazolidenesuccinate, was constructed as a synthetic precursor by a Ni-catalyzed coupling reaction; the microwave-promoted intramolecular aza-Michael addition afforded the imidazo[1,5-a]pyridine core structure of nagelamide K in high stereoselectivity. A detaurine-dediamino a...