In the problem, there is no centralized initialization for users. A group key agreement with these functions is very appropriate for social networks. Two effective passive security protocols are established under the proposed parameter. A group key convention problem is investigated in the proposed system, where a user only knows his neighbors, while the login diagram is arbitrary. Key Agreement Local Connectivity Group last year projects IEEE. Key Agreement Local Connectivity Group last year projects IEEE. For this type of protocol, limits below circular complexity are reached, which shows that the proposed systems are quite effective. Finally, an active and secure protocol is established from a secure passive protocol. Key Agreement Local Connectivity Group last year projects IEEE.