Time efficient gossiping in known radio networks - CiteSeerX
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Time efficient gossiping in known radio networks - CiteSeerX
Abstract. We study here the gossiping problem (all-to-all communication) in known radio networks, i.e., when all nodes are aware of the network topology.
Time efficient gossiping in known radio networks 1 , Igor Potapov1, and Qin Xin1 Leszek Gasieniec ˛
Department of Computer Science, University of Liverpool, Liverpool L69 7ZF, UK, {leszek,igor,qinxin}@csc.liv.ac.uk
Abstract. We study here the gossiping problem (all-to-all communication) in known radio networks, i.e., when all nodes are aware of the network topology. We start our presentation with a deterministic algorithm for the gossiping problem that works in at most units of time in any radio network of size . This is an optimal algorithm in the sense that there exist radio network topologies, such as: a line, a star and a complete graph in which the radio gossiping cannot be completed in less then units of time. Furthermore, we show that there isn’t any radio network topology in which the gossiping task can be solved in time log( 1) + 2 We show also that this lower bound can be matched from above for a fraction of all possible integer values of ; and for all other values of we propose a solution admitting gossiping in time log( 1) + 2 Finally we study asymptotically optimal ( )-time gossiping (where is a diameter 1 1=(i+1) D of the network) in graphs with max-degree = ( logi n ) for any integer constant 0 and large enough.
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