Abstract
The approach of using topology control to reduce interference in wireless sensor networks has attracted attention of many researchers. There are several definitions of interference in the literature. In a wireless sensor network, the interference at a node may be caused by an edge that is transmitting data [16], or it occurs because the node itself is within the transmission range of another [2], [4], [7]. The interference load of a node is either the number of nodes in the broadcasting disk defined by this node or the number of nodes whose disks cover it [2], [4], [7]. In this paper we show that the problem of assigning power level to a set of nodes in the plane to yield a connected geometric graph whose total node interference is bounded is NP-complete under both definitions. We also introduce some heuristics as well as a simplified version of an O(logn) approximation algorithm in [10] and study their performance through simulation.
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Benkert, M., Gudmundsson, J., Haverkort, H., Wolff, A.: Constructing Interference-Minimal Networks. In: Wiedermann, J., Tel, G., Pokorný, J., Bieliková, M., Štuller, J. (eds.) SOFSEM 2006. LNCS, vol. 3831, pp. 166–176. Springer, Heidelberg (2006)
Bilò, D., Proietti, G.: On the Complexity of Minimizing Interference in Ad-Hoc and Sensor Networks. Theorectical Computer Science 402, 43–55 (2008)
Buchin, K.: Minimizing the Maximum Interference is Hard (2008), http://arxiv.org/abs/0802.2134
Burkhart, M., von Rickenbach, P., Wattenhofer, R., Zollinger, A.: Does Topology Control Reduce Interference? In: MOBIHOC 2004, pp. 9–19 (2004)
Cormen, T.H., Leiserson, C.E., Rivest, R.L., Stein, C.: Introduction to Algorithms. Section 23.2: The algorithms of Kruskal and Prim, pp. 567–574. Press and McGraw-Hill (2001) ISBN 0-262-03293-7
Dyer, M., Frieze, A.: Planar 2DM is NP-complete. Journal of Algorithms (7), 174–184 (1986)
Halldórsson, M.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)
Johansson, T., Carr-Motyckovaá, L.: Reducing Interference in Ad Hoc Networks Through Topology Control. In: DIALM-POMC 2005, pp. 17–23 (2005)
Moaveni-Nejad, K., Li, X.-Y.: Low-Interference Topology Control for Wireless Ad Hoc Networks. In: Ad Hoc and Wireless Sensor Networks, vol. 1, pp. 41–64 (2005)
Moscibroda, T., Wattenhofer, R.: Minimizing Interference in Ad Hoc and Sensor Networks. In: DIALM-POMC 2005 (2005)
Nguyen, T.N., Huynh, D.T.: Minimum Interference Planar Geometric Topology in Wireless Sensor Networks. In: Liu, B., Bestavros, A., Du, D.-Z., Wang, J. (eds.) Wireless Algorithms, Systems, and Applications. LNCS, vol. 5682, pp. 149–158. Springer, Heidelberg (2009)
Rickenbach, P.V., Schmid, S., Wattenhofer, R., Zollinger, A.: A Roburst Interference Model for Wireless Ad-Hoc Networks. In: Proc. 19th IEEE Int. Par. and Dist. (2005)
Sharma, A., Thakral, N., Udgata, S., Pujari, A.: Heuristics for Minimizing Interference in Sensor Networks. In: Garg, V., Wattenhofer, R., Kothapalli, K. (eds.) ICDCN 2009. LNCS, vol. 5408, pp. 49–54. Springer, Heidelberg (2009)
Nguyen, T., Lam, N., Huynh, D.: Minimum Edge Interference in Wireless Sensor Networks. To appear in Proc. of Intern. Conf. on Wireless Algorithms, Systems and Applications (2010)
Valiant, L.: Universality Considerations in VLSI Circuits. IEEE Trans. on Compupters C-30, 135–140 (1981)
Wu, K.-D., Liao, W.: On Constructing Low Interference Topology in Multihop Wireless Networks. Int. J. of Sensor Networks 2, 321–330 (2007)
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© 2010 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering
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Lam, N.X., Nguyen, T.N., Huynh, D.T. (2010). Minimum Total Node Interference in Wireless Sensor Networks. In: Zheng, J., Simplot-Ryl, D., Leung, V.C.M. (eds) Ad Hoc Networks. ADHOCNETS 2010. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 49. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17994-5_35
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DOI: https://doi.org/10.1007/978-3-642-17994-5_35
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