Topological theory of intelligent agent networks provides crucial information about the structure of agent distribution over a network. Agent network topologies not only take agent distribution into consideration but also consider agent mobility and intelligence in a network. Current research in the agent network topology area adopts topological theory from the distributed system and computing network fields without considering mobility and intelligence aspects. Moreover, current agent network topology theory is not systematic and relies on graph-based methodology, which is inefficient in describing large-scale agent networks. In this paper, we systematically classify the agent network topologies and propose a new description language called Topological Description Language for Agent networks (TDLA), which incorporates the mobility and intelligence characteristics in an agent network.