We present a method, inspired from routing in dynamic data networks, to solve the Semiring Algebraic Path Problem (SAPP) for dynamic graphs. The method can be used in dynamic networks such as Mobile Ad Hoc Networks, where the network link states are highly dynamic. The algorithm makes use of broadcasting as primary mechanism to recompute the SAPP solution. The solution suffers from broadcast storm problems, and we propose a selective broadcasting mechanism that reduces the broadcast storm. We call this method local pruning and prove its correctness.