We present a new edge betweenness metric for undirected and weighted graphs. This metric is defined as the fraction of minimum spanning trees where a given edge is present and it was motivated by the necessity of evaluating phylogenetic trees. Moreover we provide results and methods concerning the exact computation of this metric based on the well known Kirchhoff’s matrix tree theorem.

In this paper, we provide a generalization of rectangular b-metric space by relaxing the inequality to include unequal weights. We examples and restrictions for Lipschitz constant enabling convergence some sequences in proof fixed point theorems.

IFS compression technique, proposed by Barnsley [1], has been widely studied because of its potentially high compression rates. Usually IFS code is determined by minimizing the rms error between a given image and its collage. As rms error is not a physiological metric, images obtained through the standard IFS coding evidence a lot of noise (blocking effect, bad definition). In order to reduce t...

IFS compression technique, proposed by Barnsley [1], has been widely studied because of its potentially high compression rates. Usually IFS code is determined by minimizing the rms error between a given image and its collage. As rms error is not a physiological metric, images obtained through the standard IFS coding evidence a lot of noise (blocking effect, bad definition). In order to reduce t...

A method of local modeling for predicting time series generated by nonlinear dynamic systems is proposed that incorporates a weighted Euclidean metric and a novel -steps ahead crossvalidation error to assess model accuracy. The tradeo between the cost of computation and model accuracy is discussed in the context of optimizing model parameters. A fast nearest neighbor algorithm and a novel modi ...

The purpose of this research is to propose an effective color metric which can predict the perceptual image quality for Retinex method. In this paper, we first give a brief introduction of three kinds of typical single Retinex methods to improve the color reproduction. And then, we state the process for obtaining the observer rating value from the subjective evaluation experiment performed unde...