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玩家之间无视身份的基本互动机制。

In the context of random multi-cluster game scenarios, players utilize communication networks to generate undirected or directed interactions, thereby facilitating the transmission and sharing of non-private information. To formally describe the interaction behavior among players, we introduce basic concepts from graph theory to reflect the identity-agnostic fundamental mechanisms of interaction within clusters and among players in the communication network.