We propose some improvements to the flooding protocols that aim to efficiently broadcast given information in ad-hoc networks. These improvements are based on probabilistic approach and decrease the number of emitted packets. Indeed, it is more interesting to privilege the retransmission by nodes that are located at the radio border of the sender. We observe that the distance between two nodes can be approximated by comparing neighbor lists. This leads to broadcasting schemes that do not require position or signal strength information. Moreover, proposed broadcast protocols require only knowledge of one hop neighborhood and thus need only short hello message and then support high mobility.