The generalized atom-bond connectivity index of a graph G is denoted by ABCa(G) and defined as the sum of weights ((d(u)+d(v)-2)/d(u)d(v))aa$ over all edges uv∊G. A cactus is a graph in which any two cycles have at most one common vertex. In this paper, we compute sharp bounds for  ABCa index for cacti of order $n$ ...

objective: the neck circumference (nc) as an index of obesity and upper-body subcutaneous adipose tissue distribution is recently used. this alternative screening tool is reliable, simple, quick and acceptable for assessment of overweight and obesity. the objectives of this study were to examine the correlation between nc measurement and diagnosis of general/visceral obesity and determining the...

Abstract In this paper, we introduce a map $$\varPhi $$ Φ , which call zonoid from the space of all non-negative, finite Borel measures on $${\mathbb {R}}^n$$ R n with first moment to zonoids . This map, connecting measure theory ...

Modern modeling approaches for circuit simulation such as the modified nodal analysis (MNA) lead to differential-algebraic equations (DAEs). The index of a DAE is a measure of the degree of numerical difficulty. In general, the higher the index is, the more difficult it is to solve the DAE. The index of DAEs arising from MNA has been characterized by the network structure. In this paper, we con...

let $g$ be a non-abelian group and let $z(g)$ be the center of $g$. associate with $g$ there is agraph $gamma_g$ as follows: take $gsetminus z(g)$ as vertices of$gamma_g$ and joint two distinct vertices $x$ and $y$ whenever$yxneq yx$. $gamma_g$ is called the non-commuting graph of $g$. in recent years many interesting works have been done in non-commutative graph of groups. computing the clique...

EFSA’s remit in the risk assessment of GMOs is very broad encompassing genetically modified plants, microorganisms and animals and assessing their safety for humans, animals and the environment. The legal frame for GMOs is set by Directive 2001/18/EC on their release into the environment, and Regulation (EC) No 1829/2003 on GM food and feed. The main focus of EFSA’s GMO Panel and GMO Unit lies ...