学术翻译：多集群博弈场景中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 the context of multi-cluster game scenarios, players utilize communication networks to generate undirected or directed interactions, thereby facilitating the transmission and sharing of non-private information. In order to formally describe the interactive behaviors within the group, we introduce basic concepts of graph theory to reflect the fundamental mechanisms of interaction among players in the communication network.