let $a$ be a non-trivial abelian group and $a^{*}=asetminus {0}$. a graph $g$ is said to be $a$-magic graph if there exists a labeling$l:e(g)rightarrow a^{*}$ such that the induced vertex labeling$l^{+}:v(g)rightarrow a$, define by $$l^+(v)=sum_{uvin e(g)} l(uv)$$ is a constant map.the set of all constant integerssuch that $sum_{uin n(v)} l(uv)=c$, for each $vin n(v)$,where $n(v)$ denotes the s...

tyrosinase is a multifunctional oxidase that is widely distributed in nature. it is a key enzyme in melanin biosynthesis and is involved in determining the color of mammalian skin and hair. in addition it is responsible for the undesirable enzymatic browning that occurs in plant-derived foods, limiting the shelf -life of fresh-cut products with the resultant economic loss.  in recent years ther...

in vitro propagated and conventional runner propagated plantlets of strawberry (fragaria×ananassa duch) cv. ‘festival’ were transferred to the field and the size of crown for plants derived from both sources of planting material were compared. four sizes of the crown, i.e., < 0.5, 0.5-0.8, 0.8-1, and > 1 cm were taken from both sources of planting material. the results obtained flashed that veg...

The traditional set stability of Boolean networks (BNs) refers to whether all the states can converge a given state subset. Different from existing results, investigated in this paper is initial destination set. This studies and stabilization avoiding undesirable sets BNs control (BCNs), respectively. First, by virtue semi-tensor product (STP) matrices, dynamics are established. Then, reachabil...