翻译：在随机的多集群博弈场景下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。为了正式地描述玩家间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集群内部和外部的基本互动机制。

In the random multi-cluster game scenario, players use a communication network to generate undirected or directed interactions, thereby achieving the transmission and sharing of non-private information. In order to formally describe the interaction behavior between players, we introduce the basic concepts of graph theory to reflect the basic interaction mechanisms within and outside the clusters in the communication network.