the noncommuting graph $nabla (g)$ of a group $g$ is asimple graph whose vertex set is the set of noncentral elements of$g$ and the edges of which are the ones connecting twononcommuting elements. we determine here, up to isomorphism, thestructure of any finite nonabeilan group $g$ whose noncommutinggraph is a split graph, that is, a graph whose vertex set can bepartitioned into two sets such t...

let $n,t_1,...,t_k$ be distinct positive integers. a toeplitz graph $g=(v, e)$ denoted by $t_n$ is a graph, where $v ={1,...,n}$ and $e= {(i,j) : |i-j| in {t_1,...,t_k}}$.in this paper, we present some results on decomposition of toeplitz graphs.

in this paper we define the removable cycle that, if $im$ is a class of graphs, $gin im$, the cycle $c$ in $g$ is called removable if $g-e(c)in im$. the removable cycles in eulerian graphs have been studied. we characterize eulerian graphs which contain two edge-disjoint removable cycles, and the necessary and sufficient conditions for eulerian graph to have removable cycles h...

The Study of heat transfer augmentation in micro scale and electronic packaging systems are some of the paramount areas of the impending universe. In such systems the cooling of the heat sinks are generally achieved through the impingement of air jet. Assuming the air jet to be continues & incompressible fluid, the heat dissipation rate over the target surface seems to either uniform or well ch...

This correspondence addresses the problem of learning object models for recognition and pose estimation. The problem is stated in terms of an input-output mapping. The input space, Rn, is a speci c eigenspace representation recently introduced by Murase and Nayar [7]. The output space, Rm, in our application consisted of three spaces with the range of [0; 1]. A function whose graph is a manifol...

Purpose: Human hands are excellent in performing sensory and motor function. We hypothesized that blood flow of the hand are dynamically regulated by sympathetic outflow during concentrated finger perception. To identify this hypothesis, we measured radial blood flow (RBF), radial vascular conductance (RVC), heart rate (HR), and arterial blood pressure (AP) during Braille reading performed unde...

We construct center-stable and center-unstable manifolds, as well as stable and unstable manifolds, for the nonlinear Klein–Gordon equation with a focusing energy subcritical nonlinearity, associated with a family of solitary waves which is generated from any radial stationary solution by the action of all Lorentz transforms and spatial translations. The construction is based on the graph trans...

In pattern recognition tasks, we usually do not pay much attention to the arbitrarily chosen training set of a pattern classiier beforehand. This paper proposes several methods for pruning data sets based on graph theory in order to alleviate the redundancy in the original data set whilst retaining the original data structure as far as possible. The proposed methods are applied to the training ...

We demonstrate that existing theories are insufficient to explain up/down asymmetries of argon X-ray emission in Alcator C-Mod Ohmic plasmas. Instead of the poloidal variation, ñz/〈nz〉, being of order the inverse aspect ratio, ǫ, and scaling linearly with Btn̄e/I p , it is observed over 0.8 < r/a < 1.0 to be of order unity and exhibits a threshold behavior between 3.5 < Btn̄e/Ip < 4.0 [T10 20m−3/...

While learning an unknown input-output task, humans rst strive to understand the qualitative structure of the function. Accuracy of performance is then improved with practice. In contrast, existing neural network function approximators do not have an explicit means for abstracting the qualitative structure of a target function. To ll this gap, we introduce the concept of function emulation, acc...