The optimization strategy of network structure based on epidemic spread considering characteristic spectrum and clustering coefficient

As a crucial part in the complex network research, how to control epidemic spread has drawn much of the attention. The existing research shows that the spectral radius of the network is reciprocal to the threshold of epidemic spread, and the network with large clustering coefficient has a great effect on virus transmission. Therefore, this paper proposes an edge rewriting strategy to optimize the network's structure which leads to the improvement of epidemic threshold and the clustering coefficient. This method utilizes the method of grouping continuous edge-breaking and reconnection, which can keep the average degree of the network unchanged, to decrease the spectrum radius and synchronously increase the clustering coefficient of network at the same time. The simulation results verify the conclusion above and show the great performance on suppressing the virus spreading in the real network.