In this paper, we study topology-independent link activation transmission scheduling protocols for multihop code-division multiple-access (CDMA) packet radio networks. We focus on quality-of-service (QoS) provisioning for each communication link in mobile environments. An interference model for wireless multihop packet radio networks, which is more practical than that adopted in earlier literature, is considered. Under this interference model, an approach to guaranteeing conflict-free transmission slots in each frame for each communication link is proposed. We then present a topology-independent link activation scheduling framework based on the theory of group divisible (GD) designs. The proposed framework guarantees conflict-free transmission slots in each frame for each communication link by mathematical properties of GD designs. With the proposed framework, we study and evaluate one series of GD design construction. We then propose topology-independent link activation scheduling algorithms based on the results derived. The proposed schemes are designed for different objectives: maximizing the minimum system throughput and minimizing the schedule frame length. Analysis results show that the proposed algorithms outperform previously known schemes.