Received (Day Month Year) Revised (Day Month Year)The network topology and the routing strategy are major factors to affect the traffic dynamics of the network. In this work, we aim to design an optimal time-varying network structure and an efficient route is allocated to each user in the network. The network topology is designed by considering addition, removal, and rewiring of links. At each time instants, a new node connects with an existing node based on the degree and correlation with its neighbor. Traffic congestion is handled by rewiring of some congested links along with the removal of the anti-preferential and correlated links. Centrality plays an important role to find the most important node in the network. The more a node is central, the more it can be used for the shortest route of the user pairs and it can be congested due to a large number of data coming from its neighborhood. Therefore, routes of the users are selected such that the sum of the centrality of the nodes appearing in the user's route is minimum. Thereafter, we analyze the network structure by using various network properties such as the clustering coefficient, centrality, average shortest path, rich club coefficient, average packet travel time and order parameter.November 21, 2018 1:51 WSPC/INSTRUCTION FILE ws-mplb˙arxiv 2 Authors' Names which is determined by the structure of the underlying network. In this context, an optimal time-varying communication network model is designed to avoid congestion in the network and user's route is selected based on centrality information especially, betweenness centrality.It is found that the communication networks are scale-free (SF) 6 and are more susceptible to traffic congestion than some homogeneous networks. 7 In SF networks large degree nodes posses a large volume of data hence, congestion usually starts at these nodes and then spreads to the whole network. Therefore, researchers proposed various strategies, 8 which can be classified into hard and soft strategies in order to handle traffic congestion and enhance network capacity. The restructuring of network topology comes under hard strategies. Zhao et al. redistributed a load of heavily loaded nodes to others, 5 some connections are removed between large degree nodes, 9 high betweenness centrality nodes are removed first 10 and links are added between the nodes with long distance. 11 Jiang et al., 12 assigned capacity dynamically to each link proportional to the queue length of the link. Some fraction of links is rewired based on node's degree information and betweenness centrality. 4 Chen et al. 13 rewired the link against traffic congestion and proved that the network should have a core-periphery structure.Sometimes it is impossible to modify the network topological structure and it also incurs a high cost to change the structure of the network. Hence, a soft strategy based on finding a better routing strategy is preferable to enhance the network capacity. Yin et al. 14 chose an efficient path (EP) for routing. Zhao et al. 15 assigned di...