We study the Independent Feedback Vertex Set problem — a variant of the classic Feedback Vertex Set problem where, given a graph G and an integer k, the problem is to decide whether there exists a vertex set S ⊆ V (G) such that G \ S is a forest and S is an independent set of size at most k. We present an O∗((1 +φ))-time FPT algorithm for this problem, where φ < 1.619 is the golden ratio, impro...

The effective role of capital in every country flows through giving guidelines for capital and resources, generalizing companies and sharing development projects with public, and also adding accredited companies stock market requires appropriate decision making for shareholders and investors who are willing to buy shares based on price mechanism. Forecasting stock price has always been a challe...

Through about 130 years of the history of experimental aesthetics, preferences of figures have been summarized in representative values such as the golden ratio. Researches especially in the golden-section hypothesis overshadowed the basic and profound problem of how people's individual preference would be decided. In the present study I returned to simple quadrangles, and investigated each per...

So what is beauty? First let me perhaps surprise you by stating that beauty can be defined numerically:1.6180339887. That is beauty that is the golden ratio (fig 1). It was described by the Pythagorean mathematicians, as they kept seeing this ratio in things regarded as beautiful, and it was first written down by Euclid, and can be expressed either as a linear relationship or as a shape, in eit...

The Golden Ratio (a ratio of ~1.618:1) appears repeatedly in nature including structural and functional traits of organisms (e.g. Fibonacci spirals of snail shells and certain seed heads), the spiraled shape of galaxies and hurricanes, and even in much cultural architecture and art. In the mid-19th century, branching structures in plant and animal vascular systems were found to follow the Golde...

In recent years, the rapid growth of new-generation wireless networks has spurred a research thrust in cooperative communication and it is a powerful physical layer technique to combat fading in wireless relaying scenario. Recently, chaos based communication with its excellent features has been proved to be an appropriate choice for the emerging wireless networks. Different chaos based modulati...

In this paper, we establish the convergence properties for a majorized alternating direction method of multipliers for linearly constrained convex optimization problems,whose objectives contain coupled functions.Our convergence analysis relies on the generalized Mean-Value Theorem, which plays an important role to properly control the cross terms due to the presence of coupled objective functio...

In the past two decades, under the conditions that both the osmotic pressure ∆p and tensile stress λ equal zero, a rigorous solution (RS) of human red blood cell (RBC) with a minus spontaneous curvature c0 has been derived with Helfrich model. And, by fitting with observed shapes of RBC, c0R0 has been predicted to be -1.62 as minus golden ratio, where R0 is the radius of a sphere with the same ...

Introduction Realtime MRI involves an inevitable trade-off between spatial resolution, temporal resolution, field-of-view (FOV), and signal-to-noise (SNR) ratio. In conventional Cartesian imaging all these parameters are fixed prior to scanning, and images can typically only be reconstructed for the prescribed parameters. Previously, Winkelmann [1] demonstrated the Golden Angle radial technique...

Human detection is an important topic that can be used for many applications, it is mainly found in areas that required surveillance such as airports, casinos, factories, construction and mining sites. In this paper, a novel human detection method is introduced to extract the human figure from an input image without prior information or training. This method firstly uses a head and shoulder det...