This brief focuses on the state-of-the-art research for congestion control in Multihop Wireless Networks (MWN), based on the Network Utility Maximization (NUM) framework. The brief evaluates fundamental theories, useful performance investigations, and open issues. Multihop Wireless Networks (MWN), including Ad Hoc networks, Wireless sensor networks, and Wireless Mesh networks, play the essential role in the evolution of pervasive computing. MWN represent...