Abstract
The weighted version of the broadcast range assignment problem in ad hoc wireless network is studied. Efficient algorithms are presented for the unbounded and bounded-hop broadcast problems for the linear radio network, where radio stations are placed on a straight line. For the unbounded case of the problem, the proposed algorithm runs in O ( n 2 ) time and using O ( n ) space, where n is the number of radio stations in the network. For the h-hop broadcast problem, the time and space complexities of our algorithm are O ( h n 2 log n ) and O ( h n ) , respectively. This improves time complexity of the existing results for the same two problems by a factor of n and n 2 log n , respectively [C. Ambuhl, A.E.F. Clementi, M.D. Ianni, G. Rossi, A. Monti, R. Silvestri, The range assignment problem in non-homogeneous static ad hoc networks, in: Proc. 18th Int. Parallel and Distributed Precessing Symposium, 2004].
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