We study the influence of elements diffusing in and out of a network to the topological changes of the network and characterize it by investigating the behavior of probability of degree distribution ($Γ(k)$) with degree $k$. The local memory of the incoming element and its interaction with the elements already present in the network during the growing process significantly affect the network stability which in turn reorganize the network properties. We found that the properties of $Γ(k)$ of this network are deviated from scale free type, where the power law behavior contains a exponentially decay factor supporting earlier reported results of Amaral et.al. \cite{ama} and Newman \cite{new1} and recent statistical analysis results on degree distribution data of some scale free network [11]. Our numerical results also support the behavior of this $Γ(k)$. However, we found numerically the contribution from exponential factor to the $Γ(k)$ to be very weak as compared to the scale free factor showing that the network as a whole carries the scale free properties approximately.