A closed walk in a connected graph G that contains every edge of G exactly once is an Eulerian circuit. A graph is Eulerian if it contains an Eulerian circuit. It is well known that a connected graph G is Eulerian if and only if every vertex of G is even. An Eulerian walk in a connected graph G is a closed walk that contains every edge of G at least once, while an irregular Eulerian walk in G i...

I construct normal del Pezzo surfaces, and regular weak del Pezzo surfaces as well, with positive irregularity q > 0. Such things can happen only over nonperfect fields. The surfaces in question are twisted forms of nonnormal del Pezzo surfaces, which were classified by Reid. The twisting is with respect to the flat topology and infinitesimal group scheme actions. The twisted surfaces appear as...

More than 35 million deaths per year—60 percent of all global deaths—are attributed to NCDs, including diabetes, cardiovascular disease, metabolic syndrome, and chronic lung diseases.1 Approximately 80 percent of these deaths are recorded in low to middle income countries; over the next decade, some of these coun­ tries will experience an increase in NCDs that is measurably higher than the anti...

A vertex irregular total k-labeling of a graph G with vertex set V and edge set E is an assignment of positive integer labels {1, 2, ..., k} to both vertices and edges so that the weights calculated at vertices are distinct. The total vertex irregularity strength of G, denoted by tvs(G)is the minimum value of the largest label k over all such irregular assignment. In this paper, we study the to...

congestive heart failure (chf) remains to be one of the major cardiovascular disorders in the world. due to the prevalence of chf related issues, it is prudent to seek out new prognostic predictors that would facilitate the prevention, monitoring, and treatment of the disease on a daily basis. a detection approach using entropy measures extracted from surface electrocardiograms (ecgs) and class...

High irregularity of Iris tissue is the main reason of its usage in identification systems. In some literatures, this irregularity has been known as a result of a stochastic genetic process. In this paper an efficient method based on the Poincaré section and modified version of fractal dimension is used. In fact, this method is introduced a pattern for decision making about series specification...