a special class of cubic graphs are the cycle permutation graphs. a cycle permutation graph pn(α) is defined by taking two vertex-disjoint cycles on n vertices and adding a matching between the vertices of the two cycles.in this paper we determine a good upper bound for tenacity of cycle permutation graphs.

In this paper, we present a related key truncated differential attack on 27 rounds of XTEA which is the best known attack so far. With an expected success rate of 96.9%, we can attack 27 rounds of XTEA using 2 chosen plaintexts and with a complexity of 2 27round XTEA encryptions. We also propose several attacks on GOST. First, we present a distinguishing attack on full-round GOST, which can dis...

Permutation source codes are a class of structured vector quantizers with a computationally-simple encoding procedure. In this thesis, we provide two extensions that preserve the computational simplicity but yield improved operational rate–distortion performance. In the first approach, the new class of vector quantizers has a codebook comprising several permutation codes as subcodes. Methods fo...

This paper summarizes the symmetric image encryption results of 27 different algorithms, which include substitution-only, permutation-only or both phases. The cores of these algorithms are based on several discrete chaotic maps (Arnold's cat map and a combination of three generalized maps), one continuous chaotic system (Lorenz) and two non-chaotic generators (fractals and chess-based algorithm...

A permutation with no fixed points is called a derangement.The subset $mathcal{D}$ of a permutation group is derangement if all elements of $mathcal{D}$ are derangement.Let $G$ be a permutation group, a derangementgraph is one with vertex set $G$ and derangement set $mathcal{D}$ as connecting set. In this paper, we determine the spectrum of derangement graphs of order a product of three primes.

Parkinson’s disease (PD) is a neurodegenerative that causes chronic and progressive motor dysfunction. As PD progresses, patients show different symptoms at stages of the disease. The severity assessment inefficient subjective when it comes to artificial diagnosis. However, abnormal gait was contingent subject selection limited. Therefore, few-shot learning based on small sample sets critical s...

Intelligent fault diagnosis provides great convenience for the prognostic and health management of rotating machinery. Recently, multiscale diversity entropy has been proven to be a promising feature extraction tool intelligent diagnosis. Compared with existing methods, advantages high consistency, strong robustness, calculation efficiency. However, encounters challenge extract features from ea...

The number of patients suffering from Alzheimer’s disease (AD) is rapidly increasing. A variety of sophisticated techniques have been proposed to early detect the precursors of AD to help predict the conversion from Mild Cognitive Impairment (MCI) to AD. The complexity of EEG signals is believed to face an average reduction during the course of the disease. This paper reports preliminary studie...

Paleoclimate records are extremely rich sources of information about the past history of the Earth system. We take an informationtheoretic approach to analyzing data from the WAIS Divide ice core, the longest continuous and highest-resolution water isotope record yet recovered from Antarctica. We use weighted permutation entropy to calculate the Shannon entropy rate from these isotope measureme...

Financial time series analyses have played an important role in developing some of the fundamental economic theories. However, many of the published analyses of financial time series focus on long-term average behavior of a market, and thus shed little light on the temporal evolution of a market, which from time to time may be interrupted by stock crashes and financial crises. Consequently, in ...