Fast construction of broadcast scheduling and gossiping in dynamic ad hoc networks

This paper studies the minimum latency broadcast schedule (MLBS) problem in ad hoc networks represented by unit disk graphs. In our approach we use an algorithm, which does not need BFS tree. We introduce a construction, which does not depend on a source, can be found in constant number of synchronous rounds, uses only short messages and produces broadcast schedule with latency at most 258 times optimum. The advantage of our construction over known algorithms is its ability to adapt fast to the changes in the network, such as adding, moving or deleting vertices (even during the broadcasting).