Abstract. We consider the problem of finding and maintaining communication paths in wireless mobile ad hoc networks (MANET). We consider this problem as a bi-objective problem when trying to minimize both the length of the constructed paths and the number link reconnections. We propose two centralized algorithms that help analyse the problem from a dynamic graph point of view. These algorithms give lower bounds for our proposed decentralized ant-based algorithm that constructs and maintains such paths in a MANET.