A {em Roman dominating function} on a graph $G$ is a function $f:V(G)rightarrow {0,1,2}$ satisfying the condition that every vertex $u$ for which $f(u)=0$ is adjacent to at least one vertex $v$ for which $f(v)=2$. A {em total Roman dominating function} is a Roman dominating function with the additional property that the subgraph of $G$ induced by the set of all vertices of positive weight has n...

tomato seedlings were inoculated with t. harzianum bi (106 spores/ml) and salicylic acid (5mm) other separately or combined together in the greenhouse environment. the effect of salicylic acid was investigated on growth of antagonistic agent in vitro. for an investigation of the effect of salicylic acid and of antagonist on pathogenecity factor, treatment with t. harzianum bi by drenching soil ...

The aim of this study is to explore the capability of subcritical methanol to reduce the acidity of naphthenic acids and to determine reaction kinetics for large-scale reactor design.The experiments were carried out in a 25 mL autoclave reactor (China) at temperatures of 70-120oC, Methanol Partial Pressures (MPPs) of 0.1-1.5 MPa, and reaction times of 0-60 min. The total...

 Let $R$ be a commutative ring and $M$ be an $R$-module with $T(M)$ as subset, the set of torsion elements. The total graph of the module denoted by $T(Gamma(M))$, is the (undirected) graph with all elements of $M$ as vertices, and for distinct elements $n,m in M$, the vertices $n$ and $m$ are adjacent if and only if $n+m in T(M)$. In this paper we study the domination number of $T(Gamma(M))$ a...

ethylene bis-stearamide is one of the important acrylonitrile-butadiene-styrene ()abs)( polymer additives, which is used as lubricant, slip agent and mold release agent. in this research, ethylene bis-stearamide for abs application was synthesized using stearic acid and ethylene diamine under reflux condition. refluxing prevented ethylenediamine from evaporation and thus the initial molar ratio...

let $r$ be a commutative ring and $m$ be an $r$-module with $t(m)$ as subset,   the set of torsion elements. the total graph of the module denoted   by $t(gamma(m))$, is the (undirected) graph with all elements of   $m$ as vertices, and for distinct elements  $n,m in m$, the   vertices $n$ and $m$ are adjacent if and only if $n+m in t(m)$. in this paper we   study the domination number of $t(ga...

Abstract Currently, the main trend is to employ spectroscopic techniques for condition assessment of used engine oils. That a consequence requirement increasing Oil Condition Monitoring (OCM) efficiency. Usually, FTIR (Fourier Transform Infra-red) Spectroscopy employed achieve ability measuring oil and uses spectrum generate relation between attribute-spectrum. To allow this connection, it nece...