Error and attack tolerance of the fractal network modelwith tunable fractal dimension

Inspired by the diffusion-limited aggregation (DLA) model, we propose a new fractal network model with tunable fractal dimension. By introducing multiplicative growth, aging and geographical preferential attachment mechanisms, our model not only has a fractal topological structure but also hierarchical modularity. This paper focuses on the error and attack tolerance of the model. By changing the values of the model parameters, we investigate the robustness of the model by observing the response of the networks reproduced by our model under the fragmentation process. Simulation results show that networks produced by our model have a significant higher robustness than other non-fractal networks, such as Internet.