let $g=(v,e)$ be a connected simple graph. a labeling $f:v to z_2$ induces two edge labelings $f^+, f^*: e to z_2$ defined by $f^+(xy) = f(x)+f(y)$ and $f^*(xy) = f(x)f(y)$ for each $xy in e$. for $i in z_2$, let $v_f(i) = |f^{-1}(i)|$, $e_{f^+}(i) = |(f^{+})^{-1}(i)|$ and $e_{f^*}(i) = |(f^*)^{-1}(i)|$. a labeling $f$ is called friendly if $|v_f(1)-v_f(0)| le 1$. for a friendly labeling $f$ of...

A topological index, which is a number, connected to graph. It often used in chemometrics, biomedicine, and bioinformatics anticipate various physicochemical properties biological activities of compounds. The purpose this article encourage original research focused on graph indices for the drugs azacitidine, decitabine, guadecitabine as well an investigation genesis symmetry actual networks. Sy...

_______________________________________________________________________________________________________________________________________ HIGHLIGHTS OF PRESCRIBING INFORMATION These highlights do not include all the information needed to use ZEGERID (omeprazole/sodium bicarbonate) Powder for Oral Suspension and Capsules safely and effectively. See full prescribing information for ZEGERID Powder f...

We consider the problem of minimizing a univariate, real-valued function f on an interval [a, b]. When f is a polynomial, we review how this problem may be reformulated as a semidefinite programming (SDP) problem, and review how to extract all global minimizers from the solution of the SDP problem. For general f , we approximate the global minimum by minimizing the Lagrange or Hermite interpola...

The goal of this paper is to further study the index calculus method that was first introduced by Semaev for solving the ECDLP and later developed by Gaudry and Diem. In particular, we focus on the step which consists in decomposing points of the curve with respect to an appropriately chosen factor basis. This part can be nicely reformulated as a purely algebraic problem consisting in finding s...

BACKGROUND Flolan (epoprostenol sodium) is most commonly prescribed to patients with severe pulmonary arterial hypertension (PAH) owing to the requirement that the drug be delivered by continuous intravenous infusion and the reconstituted solution may only be administered up to 24 hours when it is maintained between a temperature of 2°C and 8°C. The aim of this single-arm, open label study was ...

Monotonicity of functions has been successfully used in many problems of interval computations. However, in the context of interval computations, monotonicity seems somewhat ad hoc. In this paper, we show that monotonicity can be reformulated in interval terms and is, therefore, a natural condition for interval mathematics. One of the main problems of interval computations it to compute the ran...