学术翻译：集群中的玩家使用通信网络产生无向或者有向的交互从而实现非隐私信息的传递和共享。为了正式地描述群体内的交互行为我们引入了图论的基础概念来反映通信网络中玩家之间的基本互动机制。

In academic translation:

Players in a cluster engage in undirected or directed interactions through a communication network, facilitating the transmission and sharing of non-private information. To formally describe the interactive behaviors within the group, we introduce fundamental concepts of graph theory to reflect the basic mechanisms of interaction between players in the communication network.