Disclosed is an improved implementation of a flood fill mesh network that utilizes probability forwarding for rebroadcasting network messages. The forwarding probability may be determined based on analyzing a network topology map constructed by each network node relative to its neighbor nodes communicating on the network and derived from state information contained in synchronization frames broadcasted by the network nodes on the network. The forwarding probability may comprise a statistical probability that a message frame received by a network node will be forwarded to the intended destination network node by one or more of the network node's neighbor network nodes.