In relay-enabled cellular networks, the intertwined nature of network agents
calls for complex schemes to allocate wireless resources. Resources need to be
distributed among mobile users while considering how relay resources are
allocated, and constrained by the traffic rate achievable by base stations and
over backhaul links. In this work, we derive a resource allocation scheme that
achieves max-min fairness across mobile users. Furthermore, the optimal
allocation is found with linear complexity with respect to the number of mobile
users and relays