  In this paper we use the master stability function (MSF) for nearly identical
dynamical systems obtained in the previous paper to construct optimized
networks (ONs) which show better synchronizability. Nearly identical nature is
the result of having some node dependent parameters (NDPs) in the dynamics. We
study the correlation between various network properties and the values of NDPs
on different nodes for the optimized networks and compare them with random
networks using the example of coupled R\"ossler systems. In an ON, the nodes
with NDP values at one extreme, e.g. nodes with higher frequencies in coupled
R\"ossler systems, have higher degrees and are chosen as hubs. These nodes also
show higher betweenness centrality. The links in ON are preferably between
nodes with large differences in NDP values. The ONs have in general higher
clustering coefficient. We also study other network properties such as average
shortest path, degree mixing etc. and their relation to the NDP in ON. We
consider cases of both one and two NDPs and also directed networks.
