Robustness of Social Networks

Networks typically cease to be operational when they fall apart in disconnected pieces. This can be desired as in the case of criminal networks or should be avoided for instance in the case of communication systems. Destruction can happen randomly of due to a malicious attack. I will present various strategies of optimizing the robustness of networks preserving their degree distribution. A novel topology emerges. Applications to power networks, botnets, road systems and brain models will be discussed.