So far, we have discussed existing privacy definitions. Next, we present existing privacy mechanisms for social and affiliation networks. Except for the privacy mechanisms based on differential privacy, each mechanism was developed to counteract specific adversarial attacks and background knowledge. We organized this chapter based on the data assumptions that authors make. Section 6.1 covers social networks in which there are users and social links (V and Ev), and Section 6.2 includes an overview of the mechanisms for affiliation networks (V, H, and Eh). Finally, we describe research which considers both social and affiliation links in Section 6.3.