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It is proved that multipoint relaying (MPR) is an efficient strategy for on-the-fly broadcasting in mobile ad hoc networks . Upon receiving a flooding packet, each relaying node designated by the packet selects nodes from its neighbors for next packet relay. All the selected relaying nodes finally form a connected dominating set (CDS) for the network. However, computing a minimum size CDS is NP hard. Several existing algorithms use the idea of MPR to reduce the size of the CDS. In this paper, we observed two drawbacks in the existing algorithms and proposed a new greedy algorithm based on node connectivity. Also, a connectivity based rule based on the new greedy algorithm is proposed to reduce the CDS size of Wupsilas EMPR . Both theoretical analysis and experiment results show that the new greedy algorithm outperforms the existing broadcasting algorithms in the terms of number of relaying nodes.