Friend exposure attack: How many private friends could be found through one user.
Distant neighbor exposure attack: How many friends of friends (two degrees of separation) can be found through a single user.
Hybrid attack: How many private friends and friends of friends can be found.
References:
Jin, L., Joshi, J., & Anwar, M. (2013). Mutual-friend based attacks in social network systems. Computers & Security, 15-30.