Abstract
Finding a low-interference connected topology is one of the fundamental problems in wireless ad-hoc and sensor networks. The receiver-centric interference on a node is the number of other nodes whose transmission ranges cover the node. The problem of reducing interference through adjusting the nodes’ transmission ranges in a connected network can be formulated as that of connecting the nodes by a spanning tree while minimizing interference. In this paper, we study minimization of the average interference and the maximum interference for the high-way model, where all the nodes are arbitrarily distributed on a line. Two exact algorithms are proposed. One constructs the optimal topology that minimizes the average interference among all the nodes in polynomial time, O(n 3 Δ3), where n is the number of nodes and Δ is the maximum node degree. The other algorithm constructs the optimal topology that minimizes the maximum interference in sub-exponential time, O(n 3ΔO(k)), where \(k=O(\sqrt{\Delta})\) is the minimum maximum interference.
The work presented in this paper was supported in part by Hong Kong RGC-GRF grants (714009E), the National Basic Research Program of China Grant Nos. 2007CB807900, 2007CB807901 and the National Natural Science Foundation of China Grant No. 61073174.
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Tan, H., Lou, T., Lau, F.C.M., Wang, Y., Chen, S. (2011). Minimizing Interference for the Highway Model in Wireless Ad-Hoc and Sensor Networks. In: Černá, I., et al. SOFSEM 2011: Theory and Practice of Computer Science. SOFSEM 2011. Lecture Notes in Computer Science, vol 6543. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18381-2_43
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DOI: https://doi.org/10.1007/978-3-642-18381-2_43
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