Centralized Communication in Radio Networks with Strong Interference

We study communication in known topology radio networks with the presence of interference constraints. We consider a real-world situation, when a transmission of a node produces an interference in the area that is larger than the area, where the transmitted message can be received. For each node, there is an area, where a signal of its transmission is too low to be decoded by a receiver, but is strong enough to interfere with other incoming simultaneous transmissions. Such a setting is modelled by a newly proposed interference reachability graph that extends the standard graph model based on reachability graphs. Further, focusing on the information dissemination problem in bipartite interference reachability graphs, we introduce interference ad-hoc selective families as an useful combinatorial tool. They are a natural generalization of ad-hoc selective families. Adopting known algorithms and techniques, we show how to construct small interference ad-hoc selective families in the case when, for each node, the ratio of the only-interfering neighbors to the other neighbors is bounded. Finally, taking into account the maximum degree in an underlying interference reachability graph, we study the broadcasting problem in general radio networks.