Distance-2 Collision-Free Broadcast Scheduling in Wireless Networks
Valentin Pollet, Vincent Boudet, Jean-Claude König
DOI: http://dx.doi.org/10.15439/2017F140
Citation: Proceedings of the 2017 Federated Conference on Computer Science and Information Systems, M. Ganzha, L. Maciaszek, M. Paprzycki (eds). ACSIS, Vol. 11, pages 469–472 (2017)
Abstract. In this paper, we study the distance-2 broadcast scheduling problem in synchronous wireless networks of known topology. Two constraints are taken under consideration: the schedule must be collision-free and the nodes at distance $2$ must be informed by nodes at distance $1$. In general graphs, a tight bound of $\mathcal{O}(\log(n)^2)$ slots to complete the broadcast is known, $n$ being the number of nodes at distance 2. We improve this bound to $\mathcal{O}(\log(n))$ in unit disk graphs, and to $\mathcal{O}(1)$ when the neighbourhoods of the nodes are circular intervals.
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