This chapter includes two sections. The first section briefly introduces radio resource management (RRM), including RRM problems in the first and second generation wireless cellular communication networks, unique features in wireless communication networks that bring both challenges and opportunities for RRM, and basic functions of RRMin current and future wireless communication networks. The second section focuses on power control and interference management in wireless networks, where the importance of power control and its relationship to other network functions are first introduced, then power allocation problems are formulated mathematically, and finally existence of feasible solutions and other properties related to power allocations are analyzed.