The total irregularity of a simple undirected graphG is defined as irrt(G) = 1 2 ∑ u,v∈V (G) |dG(u)− dG(v)|, where dG(u) denotes the degree of a vertex u ∈ V (G). Obviously, irrt(G) = 0 if and only if G is regular. Here, we characterize the non-regular graphs with minimal total irregularity and thereby resolve the recent conjecture by Zhu, You and Yang [18] about the lower bound on the minimal ...

The Internet of Things (IoT) refers to a large cyber-physical system centered around the Internet that connects not just computer systems but a plethora of systems, devices, and objects, collectively referred to as ”Things”. It encompasses technologies for identification and tracking, sensing and actuation, both wired and wireless communications, and also, intelligence and cognition. Wireless c...

K. Rastle and M. Coltheart (1999; see also M. Coltheart & K. Rastle, 1994) reported data demonstrating that the cost of irregularity in reading aloud low-frequency exception words is modulated by the position of the irregularity in the word. They argued that these data implicated a serial process and falsified all models of reading aloud that operate solely in parallel, a conclusion that M. Zor...

BACKGROUND Menstrual irregularity is a common major complaint in women of reproductive age. It is also a known marker for underlying insulin resistance. We investigated the association between menstrual irregularity and metabolic syndrome in the general population of middle-aged women in Korea. METHODS This cross-sectional study used data from the Korea National Health and Nutrition Examinati...

Irregularity is an important aspect of the cardiovascular system dynamics. Numerical indices irregularity, such as largest Lyapunov exponent and correlation dimension estimated from interbeat interval time series, are early markers diseases. However, there no consensus on origin irregularity in system. A common hypothesis suggests importance nonlinear bidirectional coupling between respiratory ...

PURPOSE To report refractive and visual acuity outcomes using wavefront-guided optical path difference custom ablation treatments (OPDCAT; NIDEK Co Ltd) for myopia and myopic astigmatism. METHODS One hundred eyes of 50 patients with preoperative manifest refraction spherical equivalent (MRSE) of 4.62+/-1.30 diopters (D) (range: -1.38 to -7.25 D) with mean astigmatism of -0.57+/-0.37 D (range:...

A digital grayscale image can be described by intensity or pixel values. The gray levels are spread over the images as irregular or inhomogeneous fashion. A number of proposed methods for calculating the optimal thresholding value for image segmentation, but the fractal analysis is an expeditious and significant mathematical approach that distributes with irregular geometric objects. In the rec...

For general asymptotically sub-additive potentials (resp. asymptotically additive potentials) on general topological dynamical systems, we establish some variational relations between the topological entropy of the level sets of Lyapunov exponents, measuretheoretic entropies and topological pressures in this general situation. Most of our results are obtained without the assumption of the exist...

For general asymptotically sub-additive potentials (resp. asymptotically additive potentials) on general topological dynamical systems, we establish some variational relations between the topological entropy of the level sets of Lyapunov exponents, measuretheoretic entropies and topological pressures in this general situation. Most of our results are obtained without the assumption of the exist...