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Flooding provides important control and route establishment functionality for a number of unicast and multicast protocols in Mobile Ad Hoc Networks. Considering its wide use as a building block for other network layer protocols, the flooding methodology should deliver a packet from one node to all other network nodes using as few messages as possible. In this paper, we propose the Optimized Flooding Protocol (OFP), based on a variation of The Covering Problem that is encountered in geometry, to minimize the unnecessary transmissions drastically and still be able to cover the whole region. OFP does not need hello messages and hence OFP saves a significant amount of wireless bandwidth and incurs lesser overhead. We present simulation results to show the efficiency of OFP in both ideal cases and randomly distributed networks. Moreover, OFP is scalable with respect to density; in fact OFP requires lesser number of transmissions at higher densities. OFP is also resilient to transmission errors., Comment: Number of Pages: 11