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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References
Banner, R., Orda, A.: Multi-Objective Topology Control in Wireless Networks. In: INFOCOM 2008, pp. 448–456 (2008)
Buchin, K.: Minimizing the Maximum Interference is Hard, arXiv: 0802.2134v1 (2008)
Burkhart, M., von Rickenbach, P., Wattenhofer, R., Zollinger, A.: Does Topology Control Reduce Interference? In: MobiHoc 2004, pp. 9–19 (2004)
Moaveni-Nejad, K., Li, X.-Y.: Low-interference topology control for wireless ad hoc networks. Int. J. of Ad Hoc & Sensor Wireless Networks 1, 41–64 (2005)
Wu, K.-D., Liao, W.: On Constructing Low Interference Topology in Multihop Wireless Networks. Int. J. of Sensor Networks 2, 321–330 (2007)
Johansson, T., Carr-Motyčková, L.: Reducing Interference in Ad Hoc Networks Through Topology Control. In: DIALM-POMC 2005, pp. 17–23 (2005)
Benkert, M., Gudmundsson, J., Haverkort, H., Wolff, A.: Constructing minimum-interference networks. Comp. Geometry 40(3), 179–194 (2008)
Damian, M., Javali, N.: Distributed construction of bounded-degree low-interference spanners of low weight. In: MobiHoc 2008, pp. 101–110 (2008)
Halldórsson, M., Tokuyama, T.: Minimizing interference of a wireless ad hoc network in a plane. In: Nikoletseas, S.E., Rolim, J.D.P. (eds.) ALGOSENSORS 2006. LNCS, vol. 4240, pp. 71–82. Springer, Heidelberg (2006)
Li, X.Y., Song, W.Z., Wang, W.: A Unified Energy Efficient Topology for Unicast and Broadcast. In: MOBICOM 2005, pp. 1–15 (2005)
Locher, T., von Rickenbach, P., Wattenhofer, R.: Sensor networks continue to puzzle: Selected open problems. In: Rao, S., Chatterjee, M., Jayanti, P., Murthy, C.S.R., Saha, S.K. (eds.) ICDCN 2008. LNCS, vol. 4904, pp. 25–38. Springer, Heidelberg (2008)
Moscibroda, T., Wattenhofer, R.: Minimizing interference in ad hoc and sensor networks. In: DIALM-POMC 2005, pp. 24–33 (2005)
Santi, P.: Topology Control in Wireless Ad Hoc and Sensor Networks. Wiley, Chichester (2005)
von Rickenbach, P., Schmid, S., Wattenhofer, R., Zollinger, A.: A robust interference model for wireless ad hoc networks. In: WMAN 2005 (2005)
von Rickenbach, P., Wattenhofer, R., Zollinger, A.: Algorithmic Models of Interference in Wireless Ad Hoc and Sensor Networks. IEEE/ACM Trans. on Net (TON) 17(1), 172–185 (2009)
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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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