the concept of geometric-arithmetic indices was introduced in the chemical graph theory.these indices are defined by the following general formula:   ( )2( ) uv e g u vu vq qq qga g ,where qu is some quantity that in a unique manner can be associated with the vertex u ofgraph g. in this paper the exact formula for two types of geometric-arithmetic index of vphenylenicnanotube are given.

in order to determine the effects of fish size and weight on its salinity tolerance, the chloride cells (ccs) immunolocalization changes were examined in caspian salmon (salmo trutta caspius) parrs, with the same age (about 2 years old) but different types (type a: 4.88 g, 8.36 cm; type b: 14 g, 11.84 cm; type c: 24.05 g, 14.08 cm). fish survival rate, blood osmolality, gills ccs histological a...

‎let $g$ be a graph without an isolated vertex‎, ‎the normalized laplacian matrix $tilde{mathcal{l}}(g)$‎‎is defined as $tilde{mathcal{l}}(g)=mathcal{d}^{-frac{1}{2}}mathcal{l}(g) mathcal{d}^{-frac{1}{2}}$‎, where ‎$‎mathcal{‎d}‎$ ‎is a‎ diagonal matrix whose entries are degree of ‎vertices ‎‎of ‎$‎g‎$‎‎. ‎the eigenvalues of‎‎$tilde{mathcal{l}}(g)$ are ‎called ‎ ‎ as ‎the ‎normalized laplacian ...

the present study examined the effect of packaging film on the quantitative and qualitative properties of button mushrooms. the three types of packaging tested were a clear polyvinyl chloride box, polyvinyl chloride stretch film and biaxially-oriented polypropylene film (bopp). the five types of moisture absorbers examined were silica gel (2.5 g, 1.25 g), sodium chloride (2.5 g, 1.25 g), and si...

A G × E performance (interaction, profile) plot for showing genotype-by-environment data is discussed. Three versions of such a plot are compared: the regular performance plot; the performance plot based on coded data (environment-centered performance plot), in which the environment means of a trait are subtracted from data; and the performance plot based on data standardized in environments (e...