for a given graph $g=(v,e)$, let $mathscr l(g)={l(v) : vin v}$ be a prescribed list assignment. $g$ is $mathscr l$-$l(2,1)$-colorable if there exists a vertex labeling $f$ of $g$ such that $f(v)in l(v)$ for all $v in v$; $|f(u)-f(v)|geq 2$ if $d_g(u,v) = 1$; and $|f(u)-f(v)|geq 1$ if $d_g(u,v)=2$. if $g$ is $mathscr l$-$l(2,1)$-colorable for every list assignment $mathscr l$ with $|l(v)|geq k$ ...

in this paper we define the removable cycle that, if $im$ is a class of graphs, $gin im$, the cycle $c$ in $g$ is called removable if $g-e(c)in im$. the removable cycles in eulerian graphs have been studied. we characterize eulerian graphs which contain two edge-disjoint removable cycles, and the necessary and sufficient conditions for eulerian graph to have removable cycles h...

water sources optimizing required a suitable irrigation program. different material can use to increase water use efficiency. superabsorbent is one of the materials where used in around the world. these materials put in the soil and absorb water so that reserved water is usable by plant in the time of drought stress and they can reduce stress and lead to prevent yield loss. therefore, the exper...

Gurdaspur borer causes great losses to sugarcane especially ratoon crop. On one way it damages the crop and on the other way its infestations paves way for certain diseases like red rot, stem rot and ratoon stunting disease. Experiments were conducted at Sugar Crops Research Institute, Mardan during 2003-2004 in sugarcane ratoon crops with the objective to see the effect of different control me...

In this research accumulative roll bonding process as sever plastic deformation process was applied up to 8 cycles to produce the ultrafine grain copper. Microstructure of cycle 1, cycle 4 and cycle 8 investigated by TEM images. By analyzing TEM images the grain size measured below 100 nm in cycle 8 and it was with an average grain size of 200 nm. Corrosion resistance of rolled copper stri...

cytotoxicity evaluation of daphne mucronata (thymelaeaceae) extract and one of its active purified components, using seven different cancerous cell lines, revealed the strong antiproliferative activity of the plant. using flow cytometry technique, it was found that treatment of the most responsive cells (k562) with the plant extract or the active component inhibited the progression of cells thr...