Abstract
Geometric routing protocols benefit from localized Delaunay triangulation, which can guarantee the delivery of packet and bound the length of route. In this paper we propose a localized algorithm to build Delaunay triangulation in wireless ad hoc network. The algorithm considers not only stationary situation but also dynamic situation in which nodes can dynamically join and leave the network. The communication cost of the algorithm is O(nlogn). Therefore, our algorithm is applicable in wireless sensor network, in which nodes dynamically join and leave network. We also prove the correctness of the algorithm.
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Urrutia, J.: Routing with Guaranteed Delivery in Geometric and Wireless Networks. In: Stojmenovic, I. (ed.) Handbook of Wireless Networks and Mobile Computing, vol. 18, pp. 393–406. John Wiley & Sons, Chichester (2002)
Bose, P., Morin, P.: Online Routing in Triangulations. In: Aggarwal, A.K., Pandu Rangan, C. (eds.) ISAAC 1999. LNCS, vol. 1741, pp. 113–122. Springer, Heidelberg (1999)
Bose, P., Devroye, L., Evans, W., Kirkpatrick, D.: On the spanning ratio of gabriel graphs and beta-skeletons. In: Rajsbaum, S. (ed.) LATIN 2002. LNCS, vol. 2286, p. 479. Springer, Heidelberg (2002)
Gao, J., Guibas, L.J., Hershberger, J., Zhang, L., Zhu, A.: Geometric spanners for routing in mobile networks. In: MobiHoc 2001 (2001)
Li, X.-Y., Calinescu, G., Wan, P.-J.: Distributed construction of a planar spanner and routing for ad hoc wireless networks. In: IEEE Infocom 2002, New York (June 2002)
Yao, A.C.-C.: On constructing minimum spanning trees in k-dimensional spaces and related problems. SIAM J. Computing 11, 721–736 (1982)
Keil, J.M., Gutwin, C.A.: Classes of graphs which approximate the complete euclidean graph. Discrete Computational Geometry 7 (1992)
Keil, J.M., Gutwin, C.A.: The Delaunay triangulation closely approximates the complete euclidean graph. In: Dehne, F., Santoro, N., Sack, J.-R. (eds.) WADS 1989. LNCS, vol. 382. Springer, Heidelberg (1989)
Dobkin, D.P., Friedman, S.J., Supowit, K.J.: Delaunay graphs are almost as good as complete graphs. Discrete Computational Geometry (1990)
Kranakis, E., Singh, H., Urrutia, J.: Compass Routing on Geometric Networks. In: Proc. 11th Canadian Conference on Computational Geometry, pp. 51–54 (1999)
Karp, B., Kung, H.T.: GPSR: Greedy perimeter stateless routing for wireless networks. In: Proceedings of the 6th Annual International Conference on Mobile Computing and Networking (MOBICOM 2000), N.Y, August 6-11, pp. 243–254. ACM Press, New York (2000)
Bose, P., Morin, P., Stojmenovic, I., Urrutia, J.: Routing with guaranteed delivery in ad hoc wireless networks. ACM/Kluwer Wireless Networks 7(6), 609–616 (2001); 3rd int. Workshop on Discrete Algorithms and methods for mobile computing and communications, pp. 48–55 (1999)
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Li, M., Lu, X., Peng, W. (2005). Dynamic Delaunay Triangulation for Wireless Ad Hoc Network. In: Cao, J., Nejdl, W., Xu, M. (eds) Advanced Parallel Processing Technologies. APPT 2005. Lecture Notes in Computer Science, vol 3756. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11573937_41
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DOI: https://doi.org/10.1007/11573937_41
Publisher Name: Springer, Berlin, Heidelberg
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