Distributed spanner with bounded degree for wireless ad hoc networks

In this paper, we propose a new distributed algorithm that constructs a sparse spanner subgraph of the unit disk graph efficiently for wireless ad hoc networks. It maintains a linear number of links while still preserving some power-efficient routes for any pair of nodes. We prove that this new topology not only has a bounded node degree k but also has a bounded power stretch factor 2 in civilized graph. Finally, we give some simulation results to verify its performance in practice and conclude the paper with the discussion of possible future works.

[1]  Godfried T. Toussaint,et al.  Relative neighborhood graphs and their relatives , 1992, Proc. IEEE.

[2]  Brad Karp,et al.  GPSR: greedy perimeter stateless routing for wireless networks , 2000, MobiCom '00.

[3]  Tamás Lukovszki,et al.  New results on geometric spanners and their applications , 1999 .

[4]  Michiel H. M. Smid,et al.  Euclidean spanners: short, thin, and lanky , 1995, STOC '95.

[5]  Xiang-Yang Li,et al.  Power efficient and sparse spanner for wireless ad hoc networks , 2001, Proceedings Tenth International Conference on Computer Communications and Networks (Cat. No.01EX495).

[6]  David Eppstein.  Beta-skeletons have unbounded dilation , 2002, Comput. Geom..

[7]  Harry B. Hunt,et al.  NC-Approximation Schemes for NP- and PSPACE-Hard Problems for Geometric Graphs , 1998, J. Algorithms.

[8]  Ivan Stojmenovic,et al.  Routing with Guaranteed Delivery in Ad Hoc Wireless Networks , 1999, DIALM '99.

[9]  Xiang-Yang Li,et al.  Sparse power efficient topology for wireless networks , 2002, Proceedings of the 35th Annual Hawaii International Conference on System Sciences.

[10]  RNG and internal node based broadcasting algorithms for wireless one-to-one networks , 2001, MOCO.

[11]  Andrew Chi-Chih Yao,et al.  On Constructing Minimum Spanning Trees in k-Dimensional Spaces and Related Problems , 1977, SIAM J. Comput..

[12]  Paramvir Bahl,et al.  Analysis of a cone-based distributed topology control algorithm for wireless multi-hop networks , 2001, PODC '01.

[13]  Paramvir Bahl,et al.  Distributed Topology Control for Wireless Multihop Ad-hoc Networks , 2001, INFOCOM.